Cost-Benefit Analysis

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AP Microeconomics › Cost-Benefit Analysis

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1

The primary goal of cost-benefit analysis in public policy decisions is to

ensure that projects are completed under budget and ahead of schedule, maximizing contractor profits.

select projects where the total social benefits are greater than the total social costs, thereby promoting allocative efficiency.

identify and fund only those projects that can be paid for with current tax revenues without incurring any debt.

choose the project that generates the most employment opportunities, regardless of the project's overall efficiency.

Explanation

Cost-benefit analysis is a systematic process for calculating and comparing the benefits and costs of a project, decision, or government policy. Its purpose is to determine if a decision is sensible in terms of its net benefit to society, which aligns with the goal of allocative efficiency.

2

Which of the following scenarios best illustrates the concept of opportunity cost for a government?

A government receives foreign aid, which it uses to build new schools and hospitals in underserved areas of the country.

A government prints more money to finance its spending, leading to an increase in the overall price level (inflation).

A government chooses to fund a universal healthcare program, and as a result, it cannot fund a planned expansion of the military.

A government increases taxes on all citizens to pay for a new highway system, which improves transportation for everyone.

Explanation

Opportunity cost is the value of the next-best alternative forgone when a choice is made. By choosing to spend its limited budget on healthcare, the government forgoes the opportunity to spend that money on military expansion. This trade-off is a direct example of opportunity cost.

3

A consultant charges $$150,000$$ for a market analysis report. A company pays this fee and receives the report. After reviewing the report, the company must decide whether to launch a new product, which requires an additional investment of $$500,000$$. In making the decision to launch the new product, the $$150,000$$ fee for the report should be regarded as

an opportunity cost of not hiring a different, potentially better, consulting firm.

a marginal cost that must be weighed against the marginal benefit of the first unit sold.

a sunk cost that is irrelevant to the decision of whether to launch the product.

an implicit cost that should be added to the additional investment required for the launch.

Explanation

A sunk cost is a cost that has already been incurred and cannot be recovered. Rational decision-making should ignore sunk costs and focus only on future costs and benefits. The $$150,000$$ has been paid regardless of the future decision, so it is irrelevant to the launch choice.

4

A firm has two investment options. Project A has total benefits of $$10,000$$ and total costs of $$8,000$$. Project B has total benefits of $$15,000$$ and total costs of $$14,000$$. The firm can only choose one project. Based on maximizing net benefits, which project should the firm choose?

Project A, because its net benefit of $$2,000$$ is greater than Project B's net benefit of $$1,000$$.

Project A, because its costs are significantly lower, representing less financial risk for the firm.

Neither project, because the opportunity cost of choosing one is the net benefit of the other.

Project B, because its total benefit of $$15,000$$ is higher than Project A's total benefit of $$10,000$$.

Explanation

Rational decision-making aims to maximize net benefits (Total Benefits - Total Costs). The net benefit of Project A is $$10,000 - 8,000 = 2,000$$. The net benefit of Project B is $$15,000 - 14,000 = 1,000$$. Since Project A has the higher net benefit, it is the optimal choice.

5

The opportunity cost of attending a four-year college includes all of the following EXCEPT

the wages a student could have earned from a full-time job.

the interest that could have been earned on money spent for tuition.

the money spent on room and board for housing and food.

the money spent on tuition, fees, and required textbooks.

Explanation

Opportunity cost includes costs that are a direct result of the decision. A student needs to pay for housing and food whether they attend college or not. Therefore, room and board are not typically counted as an opportunity cost of college, unless the cost is significantly higher at college than it would be otherwise. Tuition, fees, forgone wages, and forgone interest are all direct opportunity costs.

6

A key difference between accounting profit and economic profit is that

accounting profit is calculated as total revenue minus explicit costs, while economic profit includes the subtraction of implicit costs as well.

accounting profit considers only variable costs, while economic profit considers both variable and fixed costs.

economic profit is always greater than or equal to accounting profit because it includes potential market growth.

economic profit is only relevant for large corporations, while accounting profit is used by small businesses.

Explanation

Accounting profit is a firm's total revenue less its explicit, out-of-pocket costs. Economic profit provides a more complete assessment of profitability by also subtracting implicit costs, which are the opportunity costs of the firm's resources.

7

Assume Sarah has a non-refundable, non-transferable ticket to a baseball game that she bought for $$50$$. On the day of the game, her friend invites her to a party. Sarah values attending the party at $$60$$. If she goes to the game, she will get $$40$$ of enjoyment. What is Sarah's best course of action and why?

Go to the party, because the net benefit is $$10$$ ($$60$$ value - $$50$$ ticket cost).

Go to the game, because the total value ($$40$$ enjoyment + $$50$$ ticket) is greater than the party's value.

Go to the game, because she already spent $$50$$ on the ticket and should not waste it.

Go to the party, because its value ($$60$$) is greater than the enjoyment from the game ($$40$$).

Explanation

The $$50$$ cost of the ticket is a sunk cost and should not influence the decision. The decision should be based on comparing the benefits of the available options. The benefit of the party ($$60$$) is greater than the benefit of the game ($$40$$). Therefore, the rational choice is to go to the party.

8

A delivery company is deciding how many additional delivery routes to add on Saturdays (each unit is one route). According to the marginal benefit and marginal cost data in the table, at which quantity should the company stop adding routes?

Routes (Q)MB, $MC, $
1900500
2800600
3700700
4600800
5500900

Stop after 1 route

Stop after 3 routes

Stop after 5 routes

Stop after 2 routes

Stop after 4 routes

Explanation

Marginal cost-benefit analysis is a key skill in microeconomics for making optimal decisions about resource allocation. Marginal benefit (MB) is the additional benefit from one more unit, while marginal cost (MC) is the additional cost; the decision rule is to proceed with additional units as long as MB ≥ MC and stop at the first unit where MB < MC. In this data, the inequality flips at the fourth route, where MB of $600 is less than MC of $800. Therefore, the company should stop after three routes, as that is the last where MB ≥ MC, optimizing profits. A common mistake is using average costs or benefits instead of marginals, which can mislead on incremental value. To apply this transferable strategy, always compare MB and MC unit-by-unit starting from the first. Additionally, ignore sunk costs and focus only on future benefits and costs; on graphs, look for where the MB and MC curves intersect to find the optimal quantity.

9

A firm is deciding how many additional quality inspections to perform per day (each unit is one inspection). According to the marginal benefit and marginal cost data in the table, what is the optimal number of inspections?

Inspections (Q)MB, $MC, $
1500150
2420220
3340300
4260360
5200420

Perform 5 inspections

Perform 3 inspections

Perform 1 inspection

Perform 2 inspections

Perform 4 inspections

Explanation

Marginal cost-benefit analysis is a key skill in microeconomics for making optimal decisions about resource allocation. Marginal benefit (MB) is the additional benefit from one more unit, while marginal cost (MC) is the additional cost; the decision rule is to proceed with additional units as long as MB ≥ MC and stop at the first unit where MB < MC. In this data, the inequality flips at the fourth inspection, where MB of $260 is less than MC of $360. Thus, the optimal is three inspections, as each of the first three has MB exceeding or equaling MC, maximizing net benefits. A common mistake is calculating total benefits versus total costs instead of using marginal comparisons for incremental choices. To apply this transferable strategy, always compare MB and MC unit-by-unit starting from the first. Additionally, ignore sunk costs and focus only on future benefits and costs; on graphs, look for where the MB and MC curves intersect to find the optimal quantity.

10

A university is deciding how many additional tutoring sessions to fund for an introductory economics course (each unit is one session). According to the marginal benefit and marginal cost data in the table, what is the optimal number of sessions to fund?

Tutoring sessions (Q)MB, $MC, $
11,200400
21,000600
3800750
4650900
55001,050

Fund 4 sessions

Fund 5 sessions

Fund 1 session

Fund 2 sessions

Fund 3 sessions

Explanation

Marginal cost-benefit analysis is a key skill in microeconomics for making optimal decisions about resource allocation. Marginal benefit (MB) is the additional benefit from one more unit, while marginal cost (MC) is the additional cost; the decision rule is to proceed with additional units as long as MB ≥ MC and stop at the first unit where MB < MC. In this data, the inequality flips at the fourth session, where MB of $650 falls below MC of $900. This justifies funding three sessions, as each of the first three has MB exceeding MC, providing the greatest net value to students. A common mistake is focusing on total benefits without subtracting total costs, but marginal analysis ensures efficient stopping points. To apply this transferable strategy, always compare MB and MC unit-by-unit starting from the first. Additionally, ignore sunk costs and focus only on future benefits and costs; on graphs, look for where the MB and MC curves intersect to find the optimal quantity.

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