Question

In: Economics

1.     Elmer is updating his summer wardrobe.  The amount of utility he gets from shirts and shorts is...

1.     Elmer is updating his summer wardrobe.  The amount of utility he gets from shirts and shorts is listed in the table below, where each number represents how much utility (in utils) he receives from the combination of shirts and shorts.

1 shirt

2 shirts

3 shirts

4 shirts

1 pair of shorts

15

27

37

46

2 pairs of shorts

26

37

45

51

3 pairs of shorts

35

45

51

55

        a.     What is the marginal utility from buying another pair of shorts if Elmer has three shirts and one pair of shorts?

        b.    What is the marginal utility from buying an additional shirt if Elmer has one shirt and three pairs of shorts?

        c.     What are two combinations of shirts and shorts that are on the same indifference curve?

        d.    What are two other combinations of shirts and shorts on the same indifference curve as each other but different from those combinations in your answer to c? Is this second set on a higher or lower indifference curve than those in c?

Solutions

Expert Solution

1.

a. The marginal utility from buying another pair of shorts if Elmer has three shirts and one pair of shorts:

Total utility when Elmer has three shirts and one pair of shorts= 37

If Elmer buy another pair of shorts then Elmer has three shirts and two pair of shorts. Then total utility= 45

Marginal utility= Change in total utility= 45-37= 8

b. The marginal utility from buying an additional shirt if Elmer has one shirt and three pairs of shorts:

Total utility when Elmer has one shirt and three pairs of shorts= 35

If Elmer buy an additional shirt then Elmer has two shirts and three pair of shorts. Then total utility= 45

Marginal utility= Change in total utility= 45-35= 10

c. Elmer has three shirts and two pair of shorts or two shirts and three pair of shorts. Then total utility remain same as 45 so these 2 combinations are on same Indifference curve.

d. Elmer has 4 shirts and 2 pair of shorts or 3 shirts and 3 pair of shorts. Then total utility remain same as 51 so these 2 combinations are on same Indifference curve.

As Combinations in part c has lower total utility than the combinations in d so Second set(in d) is on higher indifference curve than those in c.


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