All questions
Question 1
After waiting in line for 30 minutes to buy a smoothie, Maria is told the price is $8, which is $2 more than she expected. She is very thirsty. Which of the following considerations is most relevant to her rational decision to buy the smoothie or not?
- The 30 minutes she has already spent waiting in line.
- The fact that the price is $2 higher than her initial expectation.
- Whether the marginal benefit of the smoothie to her now is worth $8. (correct answer)
- The total time commitment, including the 30 minutes already waited.
Explanation: Rational decisions are made at the margin, ignoring sunk costs. The 30 minutes Maria already waited is a sunk cost; she cannot get that time back. Her decision should be based on the future costs and benefits. The marginal cost is the $8 she must pay. The marginal benefit is the satisfaction she will get from the smoothie, given how thirsty she is now. She should buy it only if the marginal benefit is greater than or equal to the $8 marginal cost.
Question 2
Marco is choosing between two pairs of headphones. Brand A costs $100 and is expected to last for 2 years. Brand B costs $180 and is expected to last for 4 years. He expects no other costs or differences in quality. From a purely financial standpoint, which is the better decision and why?
- Brand A is better because its initial upfront cost is significantly lower than Brand B's.
- Brand B is better because its cost per year of use (45)islowerthanBrandA′scostperyear(50). (correct answer)
- Both brands are equivalent because Brand B costs 80% more but also lasts 100% longer.
- The decision is impossible to make without knowing the resale value of the headphones after use.
Explanation: To make a sound comparison, the costs must be normalized over the same time frame. The cost per year for Brand A is $100 / 2 years = $50 per year. The cost per year for Brand B is $180 / 4 years = $45 per year. Since the cost per year is lower for Brand B, it is the more cost-effective choice over the long run, assuming all other factors are equal.
Question 3
A firm is considering investing in a new machine that costs $50,000. The machine is expected to increase annual revenues by $20,000 and annual operating costs by $5,000 for its entire 5-year life. Which calculation provides the best basis for a rational decision?
- Compare the $50,000 cost to the first-year revenue of $20,000 to see if it's profitable immediately.
- Compare the total increased revenue (100,000)tothetotalincreasedcosts(25,000) over 5 years.
- Compare the 50,000costtothetotalnetincreaseinrevenue(75,000) over 5 years. (correct answer)
- Compare the $50,000 cost to the total revenue of $100,000, ignoring the new operating costs.
Explanation: A cost-benefit analysis requires comparing the total costs to the total benefits. The total cost of the decision is the machine's price: $50,000. The total benefit is the net increase in revenue over the machine's life. The annual net increase is $20,000 (revenue) - $5,000 (operating costs) = $15,000. Over 5 years, the total benefit is $15,000/year * 5 years = 75,000.Sincethetotalbenefit(75,000) exceeds the total cost ($50,000), the investment is rational. This comparison provides the correct basis for the decision. Question 4
A student is deciding how many hours to study for a final exam. She believes the first hour of studying will raise her grade by 5 points. The second hour will raise it by another 4 points, the third by 2 points, and the fourth by 1 point. The opportunity cost of each hour of her time is the $15 she would earn at her job. If each point on the exam is equally valuable to her, how can she use marginal analysis to decide how long to study?
- She should compare the total point increase to the total forgone earnings for each possible number of hours.
- She should study as long as the additional points gained from one more hour are worth at least the $15 she forgoes. (correct answer)
- She should study for four hours, as any amount of studying provides a benefit that is greater than the cost.
- She should not study at all, because the monetary cost of forgone earnings outweighs the non-monetary benefit of a higher grade.
Explanation: This is a marginal analysis problem. The rational decision is to continue an activity as long as the marginal benefit is greater than or equal to the marginal cost. Here, the marginal benefit is the point increase from an additional hour of study. The marginal cost is the constant opportunity cost of $15 per hour. The student needs to determine her personal monetary value for each point to make a final decision, but the correct process is to compare the marginal benefit of each successive hour to the marginal cost, and stop when the cost exceeds the benefit.
Question 5
A company spent $10 million developing a new software application. Just before launch, a major competitor releases a far superior product. The company now projects that its new software will only generate $4 million in total revenue. To launch the product, the company must still spend an additional $3 million on marketing. Based on cost-benefit thinking, what is the most rational decision?
- Launch the software, because the additional $3 million in marketing is less than the projected $4 million in revenue. (correct answer)
- Do not launch the software, because the total cost of 13million(10M + $3M) exceeds the projected revenue of $4 million.
- Launch the software, because otherwise the entire $10 million development cost will be wasted.
- Do not launch the software, because the company is guaranteed to take a net loss on the project regardless of the decision.
Explanation: The rational decision should be based on comparing the marginal costs and marginal benefits from this point forward. The $10 million development cost is a sunk cost and should be ignored. The marginal cost to launch is $3 million (marketing). The marginal benefit is the projected revenue of 4million.Sincethemarginalbenefit(4M) exceeds the marginal cost ($3M), the company should launch the product to maximize its outcome (which in this case means minimizing its loss). Question 6
A coffee shop owner is deciding whether to stay open for one extra hour, from 8 p.m. to 9 p.m. She expects to sell 10 drinks at an average price of $5 each during that hour. Her average cost per drink for the whole day is $2. However, for the extra hour, she must pay $20 in overtime wages and use $15 worth of materials (coffee beans, milk, cups). Which statement provides the correct economic reasoning for her decision?
- She should stay open, because her expected revenue of $50 is greater than her average cost of $20 (10 drinks x $2).
- She should not stay open, because her marginal cost of 35(20 wages + $15 materials) is less than her marginal revenue of $50.
- She should stay open, because her marginal revenue of $50 is greater than her marginal cost of $35. (correct answer)
- She should not stay open, because her profit margin per drink of 3(5 price - $2 average cost) is not high enough to cover overtime.
Explanation: The decision should be made at the margin. The marginal revenue from staying open one more hour is the total sales during that hour: 10 drinks * $5/drink = $50. The marginal cost is the additional cost incurred for that specific hour, which is $20 in wages + $15 in materials = 35.Sincethemarginalrevenue(50) is greater than the marginal cost ($35), it is profitable to stay open for the extra hour. Average cost for the whole day is irrelevant to this marginal decision. Question 7
A city is considering building a new public library. The total construction cost is estimated at $10 million. Proponents argue the library will provide educational resources valued at $15 million to the community over its lifetime. Opponents note that the land for the library could have been sold to a private developer for $3 million. Based on this information, what is the net benefit of building the library?
- $15 million, which is the total value of the educational resources provided to the community.
- $5 million, calculated as the $15 million in benefits minus the $10 million construction cost.
- $2 million, calculated as the benefits minus the construction cost and the opportunity cost of the land. (correct answer)
- -$8 million, calculated as the opportunity cost of the land minus the construction costs and benefits.
Explanation: To determine the net benefit, we must consider all benefits and all costs, including opportunity costs. The benefit is 15million.Thetotalcostincludestheexplicitconstructioncost(10 million) and the implicit opportunity cost of using the land (the $3 million forgone from selling it). Total cost = $10M + $3M = $13M. The net benefit is Total Benefits - Total Costs = $15M - $13M = $2 million. Question 8
The federal government is considering a new environmental regulation that will cost polluting industries $1 billion to implement. The government estimates the regulation will lead to $800 million in public health savings and $500 million in benefits from a cleaner ecosystem. Why might an economist argue in favor of this regulation?
- Because the total benefits (1.3billion)aregreaterthanthetotalcosts(1 billion). (correct answer)
- Because environmental protection is a necessity and its benefits cannot be quantified in dollars.
- Because the costs are borne by private industries while the benefits are widespread for the public.
- Because the public health savings of $800 million are substantial enough to justify the project on their own.
Explanation: Cost-benefit thinking dictates that a project or policy should be undertaken if its total benefits exceed its total costs. In this scenario, the total costs are explicitly stated as $1 billion. The total benefits are the sum of the health savings and the ecosystem benefits: $800 million + $500 million = 1.3billion.Sincethetotalbenefits(1.3B) are greater than the total costs ($1B), an economist using a cost-benefit framework would argue in favor of the regulation. Question 9
A pizza parlor offers a deal where a second pizza is half-price. The first pizza costs $20 and the second costs $10. A consumer values the first pizza at $30 and the second pizza at $15. Should the consumer buy the second pizza?
- No, because the total cost of two pizzas (30)islessthanthetotalbenefit(45), but the average cost ($15) equals the marginal benefit of the second pizza.
- No, because the benefit of the second pizza (15)isonlyhalfthebenefitofthefirstpizza(30).
- Yes, because the total benefit from both pizzas (45)issignificantlygreaterthanthetotalcost(30).
- Yes, because the marginal benefit of the second pizza (15)isgreaterthanitsmarginalcost(10). (correct answer)
Explanation: The decision to buy the second pizza should be based on marginal analysis. The marginal benefit of the second pizza is its value to the consumer, which is $15. The marginal cost of the second pizza is its price, which is 10.Sincethemarginalbenefit(15) is greater than the marginal cost ($10), the consumer should buy the second pizza. Analyzing total or average costs and benefits can be misleading for making decisions at the margin. Question 10
Which of the following scenarios best illustrates a decision made using marginal analysis?
- A student decides to major in engineering because data shows it has the highest average starting salary.
- A company decides to shut down a factory because its total revenue is less than its total costs.
- A person eats a second slice of cake because the additional enjoyment is greater than their concern about the additional calories. (correct answer)
- A family buys a minivan instead of a sedan because they need more space for their children and equipment.
Explanation: Marginal analysis involves evaluating the costs and benefits of a small, incremental change—such as one more unit of an item. Eating a second slice of cake is a classic example. The person is not evaluating the total benefit of all cake eaten, but the specific benefit of one additional slice compared to its specific costs. The other options describe decisions based on averages (A), totals (B), or overall needs (D), not a marginal change.
Question 11
A consumer is willing to pay $4 for the first ice cream cone, $3 for a second, and $1 for a third on a hot day. If the price of an ice cream cone is $2, how many will she buy and what is her total consumer surplus?
- She will buy 2 cones for a consumer surplus of $3. (correct answer)
- She will buy 3 cones for a consumer surplus of $2.
- She will buy 2 cones for a consumer surplus of $5.
- She will buy 1 cone for a consumer surplus of $2.
Explanation: A rational consumer will buy a good as long as the marginal benefit (what they are willing to pay) is greater than or equal to the marginal cost (the price). For the first cone, $4 > $2, so she buys it. For the second, $3 > $2, so she buys it. For the third, $1 < $2, so she does not buy it. She buys 2 cones. Consumer surplus is the difference between what she was willing to pay and what she actually paid. For the first cone: $4 - $2 = $2. For the second cone: $3 - $2 = $1. Total consumer surplus is $2 + $1 = $3.
Question 12
A town government receives a $1 million grant that must be spent on one of three projects: renovating the town hall, building a new public pool, or repaving all the town's roads. The town decides to build the pool. A survey showed that residents would have preferred road repaving over the town hall renovation. What was the opportunity cost of building the new pool?
- The value of both the road repaving and the town hall renovation.
- The value of the road repaving project. (correct answer)
- $1 million, because that was the amount of the grant used.
- Zero, because the money was a grant and did not come from local taxes.
Explanation: Opportunity cost is the value of the single best alternative that was given up. The town had three choices. By choosing the pool, they gave up the other two. The problem states that residents preferred road repaving to the town hall renovation, making the road project the next-best alternative. Therefore, the opportunity cost of building the pool is the value and benefits the town would have received from repaving the roads.
Question 13
An entrepreneur is considering quitting her current job, which pays a salary of $60,000 per year, to start a new business. She estimates her annual revenue will be $200,000 and her explicit costs (rent, materials, wages for an employee) will be $130,000. What is the expected economic profit of starting the new business?
- $200,000, which represents the total revenue generated by the business.
- $70,000, which is the total revenue minus the explicit costs.
- $10,000, which is the total revenue minus explicit costs and the forgone salary. (correct answer)
- -$10,000, because the costs of $130,000 plus the lost salary of $60,000 exceed the revenue.
Explanation: Economic profit is calculated as total revenue minus both explicit and implicit costs. The explicit costs are $130,000. The implicit cost is the opportunity cost of the entrepreneur's time, which is the $60,000 salary she gives up. Total cost (economic cost) is $130,000 + $60,000 = $190,000. The economic profit is then $200,000 (revenue) - $190,000 (total cost) = $10,000.
Question 14
A farmer has one hour to either harvest corn or harvest tomatoes. In that hour, she can harvest 50 pounds of corn or 40 pounds of tomatoes. Corn sells for $1.00 per pound and tomatoes sell for $1.50 per pound. What is the opportunity cost of harvesting 50 pounds of corn?
- The 40 pounds of tomatoes that were not harvested.
- The $60 of revenue from the 40 pounds of tomatoes. (correct answer)
- The $10 difference between the revenue from tomatoes and corn.
- The $50 of revenue from the 50 pounds of corn.
Explanation: The opportunity cost is the value of the next-best alternative forgone. By choosing to harvest corn, the farmer gives up the opportunity to harvest tomatoes. The value of that alternative is the revenue she would have earned: 40 pounds of tomatoes * $1.50/pound = $60. This is the opportunity cost.
Question 15
A theme park offers an all-day pass for $100. Each ride has a marginal benefit for a visitor. The first ride's benefit is $30, the second $25, the third $20, the fourth $15, the fifth $10, and the sixth $5. After paying for the pass, what is the rational number of rides for the visitor to take?
- 4 rides, as this is the last ride where the marginal benefit is greater than the average cost per ride.
- 6 rides, because the marginal cost of each additional ride is zero. (correct answer)
- 3 rides, because after this point the total benefit ($75) is closest to the ticket price of $100.
- 5 rides, because the total benefit ($100) is equal to the price paid for the pass.
Explanation: The decision to ride one more ride is a marginal decision. The $100 price of the pass is a sunk cost once the visitor is in the park. The marginal cost of taking one more ride is effectively zero (in terms of money). A rational person will continue an activity as long as the marginal benefit is greater than the marginal cost. Since the marginal benefit of all six rides is positive (greater than the marginal cost of $0), the visitor should take all six rides.
Question 16
A student purchased a non-refundable, non-transferable ticket to a school play for $15. On the night of the play, a friend invites the student to a free concert by their favorite band. The student values attending the concert at $50. The only other alternative for the evening is to work a babysitting job, which would earn the student $40. What is the opportunity cost for this student of attending the school play?
- The $50 value derived from attending the concert. (correct answer)
- The $65, representing the concert's value plus the ticket price.
- The $90, representing the combined value of the concert and babysitting.
- The $55, representing the babysitting earnings plus the ticket price.
Explanation: The opportunity cost is the value of the single best alternative forgone. The two alternatives to the play are the concert (valued at $50) and babysitting (valued at $40). The better of these two alternatives is the concert. The $15 for the ticket is a sunk cost because it is non-refundable and cannot be recovered, so it is irrelevant to the decision. Therefore, the opportunity cost of attending the play is the $50 value of the concert that is given up.
Question 17
A high school senior is accepted to a prestigious university where tuition and fees are $40,000 per year. A local community college offers a similar program for $5,000 per year. The student could also work full-time and earn $30,000 per year. The student expects room and board to cost $15,000 per year regardless of their choice. What is the opportunity cost of attending the prestigious university for one year?
- $40,000, the explicit cost of tuition and fees.
- $70,000, representing the tuition plus the forgone wages. (correct answer)
- $85,000, representing the tuition, forgone wages, and room and board.
- $75,000, representing the tuition at the university plus the net value of the community college option.
Explanation: Opportunity cost includes both explicit and implicit costs of the chosen action compared to the next-best alternative. The explicit cost is the tuition ($40,000). The implicit cost is what the student gives up, which is the full-time job paying $30,000. (The job is a better alternative than community college, which has a net cost). Therefore, the total opportunity cost is $40,000 (tuition) + $30,000 (forgone wages) = $70,000. Room and board are not part of the opportunity cost because they must be paid regardless of the choice.
Question 18
A concert promoter has already spent $80,000 on non-refundable deposits for a venue and performers. Due to a forecast of heavy rain, she now expects ticket sales revenue to be only $50,000. To hold the concert, she must still spend an additional $10,000 on staff and security. What is the most rational financial choice for the promoter?
- Cancel the concert to avoid losing more than the $80,000 already spent.
- Hold the concert, in order to recover at least some of the $80,000 in non-refundable deposits.
- Cancel the concert, because the total costs (90,000)aregreaterthantheexpectedrevenue(50,000).
- Hold the concert, because the expected revenue of $50,000 is greater than the additional cost of $10,000. (correct answer)
Explanation: The $80,000 in deposits is a sunk cost and should not factor into the decision of whether to proceed. The decision must be made at the margin. The marginal cost of holding the concert is the additional $10,000 for staff and security. The marginal benefit is the expected ticket revenue of 50,000.Sincethemarginalbenefit(50k) exceeds the marginal cost ($10k), holding the concert is the rational choice. This choice results in a net gain of $40,000 from this point, which minimizes the overall loss on the venture. Question 19
An airline has a 200-seat plane flying from New York to Los Angeles. The total cost to fly the plane, regardless of the number of passengers, is $40,000. The flight is about to depart with 10 empty seats. A passenger runs to the gate and offers to pay $150 for a seat. What is the airline's best decision according to cost-benefit thinking?
- Sell the ticket, because the marginal cost of the passenger is nearly zero and the marginal revenue is $150. (correct answer)
- Do not sell the ticket, because the average cost per seat is 200(40,000 / 200), which is more than the $150 offered.
- Sell the ticket, but only if the passenger also pays a fee to cover their share of the flight's fixed costs.
- Do not sell the ticket, because selling for less than the average cost would encourage other passengers to demand lower fares in the future.
Explanation: The decision should be made based on marginal cost and marginal revenue. The $40,000 is a fixed cost for the flight; it will be incurred whether the last passenger flies or not. The marginal cost of adding one more passenger to a plane with empty seats is minimal (perhaps a drink and a snack), so it's close to zero. The marginal revenue is the 150thepassengeroffers.Sincethemarginalrevenue(150) is far greater than the marginal cost (~$0), the airline increases its profit by selling the ticket. The average cost is not relevant for this marginal decision. Question 20
A city council is using cost-benefit analysis to decide whether to install a new traffic light at an intersection. The light costs $100,000. It is expected to prevent two accidents per year, which have an average societal cost of $60,000 each. Which of the following statements presents the most significant challenge to this cost-benefit analysis?
- The benefits of the light will accrue over many years, while the cost is paid upfront.
- The analysis does not account for the minor inconvenience to drivers who must now stop for a red light.
- The cost of the traffic light might be funded by a different level of government, such as the state.
- Placing a monetary value on the prevention of injuries or fatalities is ethically complex and subjective. (correct answer)
Explanation: While all options present some complication, the most significant challenge in many public policy cost-benefit analyses, especially concerning safety, is the valuation of non-market outcomes like human health and life. The figure of $60,000 per accident is an estimate that involves difficult and controversial assumptions. This ethical and methodological challenge is often more profound than dealing with time horizons (A), funding sources (C), or minor unquantified costs (D).