Q: Which formula correctly represents the total cost of renting an apartment, including commuting, if rent is $R$, commuting time is $T$ hours/month, and the opportunity cost of time is $C$ dollars/hour?

$Total\ Cost = R + (T \times C)$

Q: A student is choosing between two apartments. Apartment X has a rent of $900/month and is 5 hours farther from campus per month than Apartment Y, which costs $950/month. If the student values their time at $20/hour, what is the marginal cost of moving from Y to X?

$Marginal\ Cost = (5 \times 20) - (900 - 950) = 100 - (-50) = $150$

Q: A person is considering two apartments: East ($950/month, great view valued at $25/month, 2 hours farther from airport per trip, 2 trips/month, value of time $20/hour) and West ($950/month, no view). What is the net benefit of choosing East over West?

$Net\ Benefit = 25 - (2 \times 2 \times 20) = 25 - 80 = -$55$

Question 1

Which of the following best describes optimization in economics?

Accepted Answer

Selecting the best feasible option by comparing total net benefits across all alternatives.

Question 2

Suppose you are deciding between two apartments. Apartment A costs $1,200/month and is 10 hours/month farther from work than Apartment B, which costs $1,300/month. If your opportunity cost of time is $15/hour, which apartment has the lower total cost?

Accepted Answer

Apartment B, because the higher rent is offset by lower commuting costs.

Question 3

Optimization using marginal analysis involves:

Accepted Answer

Comparing the change in net benefit from moving between alternatives and choosing the option where moving away would make you worse off.

Question 4

If the opportunity cost of your time increases from $10/hour to $15/hour, what is the likely effect on your optimal apartment choice, all else equal?

Accepted Answer

You will prefer apartments closer to work.

Question 5

Which formula correctly represents the total cost of renting an apartment, including commuting, if rent is $R$, commuting time is $T$ hours/month, and the opportunity cost of time is $C$ dollars/hour?

Accepted Answer

$Total\ Cost = R + (T 	imes C)$

Question 6

A student is choosing between two apartments. Apartment X has a rent of $900/month and is 5 hours farther from campus per month than Apartment Y, which costs $950/month. If the student values their time at $20/hour, what is the marginal cost of moving from Y to X?

Accepted Answer

$Marginal\ Cost = (5 	imes 20) - (900 - 950) = 100 - (-50) = $150$

Question 7

Which of the following statements about optimization using total value and marginal analysis is correct?

Accepted Answer

Both methods give identical answers when applied correctly.

Question 8

If the marginal net benefit (MNB) of moving from Apartment A to Apartment B is negative, what should you do?

Accepted Answer

Stay at Apartment A.

Question 9

Suppose you are indifferent between two apartments when your opportunity cost of time is $10/hour. If your opportunity cost of time increases to $20/hour, what is the effect on the total cost difference between a farther and a closer apartment (assuming the farther apartment requires 10 more hours of commuting per month)?

Accepted Answer

The total cost difference increases by $100 in favor of the closer apartment.

Question 10

Which of the following best illustrates the principle of optimization at the margin?

Accepted Answer

Switching to a closer apartment only if the reduction in commuting cost exceeds the increase in rent.

Question 11

A person is considering two apartments: East ($950/month, great view valued at $25/month, 2 hours farther from airport per trip, 2 trips/month, value of time $20/hour) and West ($950/month, no view). What is the net benefit of choosing East over West?

Accepted Answer

$Net\ Benefit = 25 - (2 	imes 2 	imes 20) = 25 - 80 = -$55$

Question 12

If the marginal benefit (MB) of moving from Apartment West to East is $25, and the marginal cost (MC) is $40, what is the marginal net benefit (MNB)?

Accepted Answer

$MNB = MB - MC = 25 - 40 = -15$

Question 13

Which of the following is NOT a reason why it may be difficult to make the best choice in optimization?

Accepted Answer

Always having perfect information.

Question 14

Suppose the rent per square foot is highest at the city center and decreases as you move away. What economic principle does this illustrate?

Accepted Answer

Opportunity cost of location.

Question 15

If the total cost of Apartment A is $1,200/month and Apartment B is $1,250/month, but the marginal cost of moving from A to B is $60, what is the marginal benefit required to make moving optimal?

Accepted Answer

$Marginal\ Benefit > $60$

Question 16

Which of the following is the correct definition of marginal cost (MC) in the context of apartment choice?

Accepted Answer

The change in cost when moving from one apartment to another.

Question 17

A commuter is considering two apartments. The farther apartment is $100/month cheaper but requires 12 more hours of commuting per month. If the commuter values their time at $8/hour, what is the net cost or benefit of choosing the farther apartment?

Accepted Answer

$Net\ Benefit = 100 - (12 	imes 8) = 100 - 96 = $4$

Question 18

Which of the following is a step in optimization using total value?

Accepted Answer

Translate all costs and benefits into common units and pick the alternative with the highest net benefit.

Question 19

If moving from Apartment A to Apartment B increases your benefit by $30 but also increases your cost by $50, what should you do according to marginal analysis?

Accepted Answer

Stay at Apartment A.

Optimization in Microeconomics: Choosing the Best Feasible Option

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