Toby’s current marginal utility from consuming peanuts is 100 utils per ounce and his marginal utility from consuming cashews is 200 utils per ounce. If peanuts cost 10 cents per ounce and cashews cost 25 cents per ounce, is Toby maximizing his total utility from the kinds of nuts? If so, explain how you know. If not, how should he rearrange his spending?

Respuesta :

Answer:

a. Toby is not maximizing his utility

b. Toby should reduce his spending on cashew and increase his spending on peanuts.

Explanation:

a. Is Toby maximizing his total utility from the kinds of nuts? If so, explain how you know.

Toby will maximize his utility when we have:

MUp/Pp = MUc/Pc

Where;

MUp/Pp = Marginal utility of peanut divided by price of peanut = 100/10 = 10

MUc/Pc = Marginal utility of cashew divided by price of cash = 200/25 = 8

From the above, Toby is not maximizing his utility. I am able to know this because MUp/Pp > MUc/Pc (i.e. 10 > 8). An Toby will only maximize his utility when MUp/Pp = MUc/Pc.

b. If not, how should he rearrange his spending?

Since MUp/Pp > MUc/Pc (i.e. 10 > 8), Toby should reduce his spending on cashew in order to increase MUc and increase his spending on peanuts reduce MUp until MUp/Pp = MUc/Pc.

Based on Tobey's current level of consumption of peanuts and cashews, the answer is that he is not maximizing his utility.

Why is Tobey not maximizing his utility?

In order to be maximizing his utility, the following has to be true:

Marginal utility of consuming peanuts / Price of peanuts = Marginal utility of consuming cashews / Price of cashews

Solving gives:

100 / 0.10 = 200 / 0.25

1,000 ≠ 800

As the formula does not hold, it means that Tobey is not maximizing his utility.

Find out more on maximizing utility at https://brainly.com/question/15829138.