Marginal Analysis and Consumer Choice - AP Microeconomics

1. A consumer is deciding how many premium app downloads to purchase. Each download costs $5. Based on the marginal utility and price information in the table, how many downloads should the consumer buy to maximize net benefit? Marginal Utility of App Downloads

   Download number	MU (utils)
   1	22
   2	18
   3	14
   4	10
   5	6
   6	4

   Answer: 5 downloads This question tests marginal analysis and consumer choice in AP Microeconomics. Diminishing marginal utility means each additional unit provides less extra satisfaction, and the decision rule is to buy another unit if its MU exceeds the price, stopping when MU falls below the price for a single good. The MU values show that the first five downloads have MU (22, 18, 14, 10, 6) above or equal to the $5 price, but the sixth (4) is below, determining 5 downloads as the quantity. This quantity is optimal because the net benefit (MU - price) is positive for these units and negative for more, so no adjustment increases total net utility. A common misconception is confusing marginal utility with total utility, but decisions are made at the margin by comparing MU to price for each additional unit. A transferable strategy is to list MU for each unit and compare to price, buying sequentially until MU < price. This method applies to any single-good consumption decision to maximize net benefit.
2. A consumer has $10 to spend on cups of coffee (C) and donuts (D). Coffee costs $2 per cup and donuts cost $1 per donut. Based on the marginal utility and price information in the table, which bundle maximizes utility given the budget? Marginal Utility Schedule

   Unit	MU of Coffee (utils)	MU of Donuts (utils)
   1	20	9
   2	16	8
   3	12	7
   4	8	6
   5	4	5
   6	2	4

   Answer: 3 cups of coffee and 4 donuts This question tests marginal analysis and consumer choice in AP Microeconomics. Diminishing marginal utility means each additional unit provides less extra satisfaction, and the decision rule is to allocate the budget by comparing marginal utility per dollar (MU/P) across goods, buying the option with the highest MU/P until the budget is spent. In this case, the MU/P values show that purchasing the first coffee (10 utils/$), first donut (9 utils/$), second coffee and second donut (both 8 utils/$), third donut (7 utils/$), fourth donut (6 utils/$), and third coffee (6 utils/$) determines the bundle of 3 cups of coffee and 4 donuts. This bundle is optimal because the MU/P for the last units are equal, and reallocating dollars to other combinations would decrease total utility. A common misconception is ignoring prices and just buying goods with the highest MU, but MU/P accounts for cost differences. A transferable strategy is to calculate MU/P for each possible unit of both goods, repeatedly buy the unit with the highest MU/P without exceeding the budget, and stop when no further purchases increase utility per dollar. This approach ensures efficient allocation across multiple goods.
3. A consumer is deciding how many movie rentals to buy this week. Each rental costs $4. Based on the marginal utility and price information in the table, how many rentals should the consumer buy to maximize net benefit? Marginal Utility of Movie Rentals

   Rental number	MU (utils)
   1	18
   2	14
   3	10
   4	6
   5	3
   6	1

   Answer: 4 rentals This question tests marginal analysis and consumer choice in AP Microeconomics. Diminishing marginal utility means each additional unit provides less extra satisfaction, and the decision rule is to buy another unit if its MU exceeds the price, stopping when MU falls below the price for a single good. The MU values show that the first four rentals have MU (18, 14, 10, 6) above or equal to the $4 price, but the fifth (3) is below, determining 4 rentals as the quantity. This quantity is optimal because the net benefit (MU - price) is positive for these units and negative for more, so no adjustment increases total net utility. A common misconception is confusing marginal utility with total utility, but decisions are made at the margin by comparing MU to price for each additional unit. A transferable strategy is to list MU for each unit and compare to price, buying sequentially until MU < price. This method applies to any single-good consumption decision to maximize net benefit.
4. A consumer has $6 to spend on tacos (T) and sodas (S). Tacos cost $3 each and sodas cost $1 each. Based on the marginal utility and price information in the table, which next purchase should the consumer make if they currently have 1 taco and 2 sodas? Marginal Utility Schedule

   Unit	MU of Tacos (utils)	MU of Sodas (utils)
   1	18	9
   2	15	8
   3	12	7
   4	9	6
   5	6	5

   Answer: Buy 1 more soda (the 3rd soda) This question tests marginal analysis and consumer choice in AP Microeconomics. Diminishing marginal utility means each additional unit provides less extra satisfaction, and the decision rule is to buy another unit if its MU/P exceeds that of alternatives or if MU exceeds price, considering the remaining budget. With $1 remaining after buying 1 taco and 2 sodas, the next units' MU/P show the third soda (7 utils/$) is feasible and higher than alternatives, while a second taco costs $3 exceeding the remainder. This choice is optimal because it adds positive net utility with the remaining budget, and no reallocation from current holdings would increase total utility given the constraint. A common misconception is to stop spending if the budget is nearly exhausted without checking if MU > price for affordable units. A transferable strategy is to compute MU/P for each possible next unit within the remaining budget, buy the highest MU/P option available, and stop if no unit has MU >= price or if budget is zero. This method applies to sequential consumption decisions with limited remaining funds.
5. A student has a weekly snack budget of $12 to spend on slices of pizza (P) and bottles of juice (J). Pizza costs $3 per slice and juice costs $2 per bottle. Based on the marginal utility and price information in the table, which bundle maximizes the student's utility while spending the entire budget? Marginal Utility Schedule

   Unit	MU of Pizza (utils)	MU of Juice (utils)
   1	30	18
   2	24	16
   3	18	14
   4	12	12
   5	6	10
   6	3	8

   Answer: 2 slices of pizza and 3 bottles of juice This question tests marginal analysis and consumer choice in AP Microeconomics. Diminishing marginal utility means each additional unit provides less extra satisfaction, and the decision rule is to allocate the budget by comparing marginal utility per dollar (MU/P) across goods, buying the option with the highest MU/P until the budget is spent. In this case, the MU/P values show that purchasing the first pizza (10 utils/$), first juice (9 utils/$), second pizza or second juice (both 8 utils/$), and third juice (7 utils/$) determines the bundle of 2 slices of pizza and 3 bottles of juice. This bundle is optimal because the MU/P for the last units are as equal as possible, and reallocating dollars to other units would not increase total utility. A common misconception is to maximize total utility without considering prices, but prices must be factored in via MU/P to account for opportunity costs. A transferable strategy is to calculate MU/P for each possible unit of both goods, repeatedly buy the unit with the highest MU/P without exceeding the budget, and stop when no further purchases increase utility per dollar. This approach ensures efficient allocation across multiple goods.
6. A consumer has $8 to spend on paperback books (B) and magazines (M). Books cost $4 each and magazines cost $2 each. Based on the marginal utility and price information in the table, which bundle maximizes utility given the budget? Marginal Utility Schedule

   Unit	MU of Books (utils)	MU of Magazines (utils)
   1	28	14
   2	20	12
   3	12	10
   4	6	8
   5	3	6

   Answer: 1 book and 2 magazines This question tests marginal analysis and consumer choice in AP Microeconomics. Diminishing marginal utility means each additional unit provides less extra satisfaction, and the decision rule is to allocate the budget by comparing marginal utility per dollar (MU/P) across goods, buying the option with the highest MU/P until the budget is spent. In this case, the MU/P values show that purchasing the first book or first magazine (both 7 utils/$), then the second magazine (6 utils/$) after the first book, determines the bundle of 1 book and 2 magazines. This bundle is optimal because the MU/P for the last units are as equal as possible, and reallocating dollars to other combinations would decrease total utility. A common misconception is ignoring prices and just buying goods with the highest MU, but MU/P accounts for cost differences. A transferable strategy is to calculate MU/P for each possible unit of both goods, repeatedly buy the unit with the highest MU/P without exceeding the budget, and stop when no further purchases increase utility per dollar. This approach ensures efficient allocation across multiple goods.
7. A consumer has $8 to spend on notebooks (N) and pens (P). Notebooks cost $4 each and pens cost $1 each. Based on the marginal utility and price information in the table, which bundle maximizes utility given the budget? Marginal Utility Schedule

   Unit	$MU$ of Notebooks (utils)	$MU$ of Pens (utils)
   1	24	8
   2	16	7
   3	8	6
   4	4	5
   5	2	4
   6	1	3

   Answer: 1 notebook and 4 pens This question tests marginal analysis and consumer choice in AP Microeconomics. Diminishing marginal utility means each additional unit provides less extra satisfaction, and the decision rule is to allocate the budget by comparing marginal utility per dollar ($MU/P$) across goods, buying the option with the highest $MU/P$ until the budget is spent. In this case, the $MU/P$ values show that purchasing the first four pens (8, 7, 6, 5 utils/$) and the first notebook (6 utils/$) determines the bundle of 1 notebook and 4 pens. This bundle is optimal because the $MU/P$ for the last units are as equal as possible, and reallocating dollars to other units would not increase total utility. A common misconception is to maximize total utility without considering prices, but prices must be factored in via $MU/P$ to account for opportunity costs. A transferable strategy is to calculate $MU/P$ for each possible unit of both goods, repeatedly buy the unit with the highest $MU/P$ without exceeding the budget, and stop when no further purchases increase utility per dollar. This approach ensures efficient allocation across multiple goods.
8. A consumer has $9 to spend on rides on a scooter (S) and bus trips (B). Scooter rides cost $3 each and bus trips cost $1 each. Based on the marginal utility and price information in the table, which bundle maximizes utility while spending the entire budget? Marginal Utility Schedule

   Unit	MU of Scooter rides (utils)	MU of Bus trips (utils)
   1	21	8
   2	18	7
   3	15	6
   4	12	5
   5	9	4
   6	6	3
   7	3	2

   Answer: 2 scooter rides and 3 bus trips This question tests marginal analysis and consumer choice in AP Microeconomics. Diminishing marginal utility means each additional unit provides less extra satisfaction, and the decision rule is to allocate the budget by comparing marginal utility per dollar (MU/P) across goods, buying the option with the highest MU/P until the budget is spent. In this case, the MU/P values show that purchasing the first bus trip (8 utils/$), first scooter ride or second bus trip (both 7 utils/$), third bus trip or second scooter ride (both 6 utils/$), determines the bundle of 2 scooter rides and 3 bus trips. This bundle is optimal because the MU/P for the last units are equal, and reallocating dollars to other units would not increase total utility. A common misconception is to maximize total utility without considering prices, but prices must be factored in via MU/P to account for opportunity costs. A transferable strategy is to calculate MU/P for each possible unit of both goods, repeatedly buy the unit with the highest MU/P without exceeding the budget, and stop when no further purchases increase utility per dollar. This approach ensures efficient allocation across multiple goods.

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