Question

A consumer has preferences represented by u(x1, x2) = x1x 4 2 and faces p1 = 5, p2 = 10 and income m = 90. (i) Calculate the MRS, explaining your working. (ii) Explain the meaning of the MRS as evaluated at consumption bundle (x1, x2) = (2, 2) (iii) Derive the budget constraint for this consumer and explain its components. (iv) Derive the price ratio this consumer faces and explain its meaning. (v) Derive the consumer’s optimal choice of consumption. Explain.

Name: a consumer has preferences represented by ux1 x2 x1x 4 2 and faces p1 5 p2 10 and income m 90 i calculate the mrs explaining your working ii explain the meaning of the mrs as evaluated at consumption
Uploaded: 2023-08-29T16:01:05-08:00
Duration: 3 min 34 s
Channel: Manasvee Singh
Description: a consumer has preferences represented by ux1 x2 x1x 4 2 and faces p1 5 p2 10 and income m 90 i calculate the mrs explaining your working ii explain the meaning of the mrs as evaluated at consumption

          A consumer has preferences represented by u(x1, x2) = x1x
4
2
and faces p1 = 5, p2 =
10 and income m = 90.
(i) Calculate the MRS, explaining your working.
(ii) Explain the meaning of the MRS as evaluated at consumption bundle (x1, x2) =
(2, 2)
(iii) Derive the budget constraint for this consumer and explain its components.
(iv) Derive the price ratio this consumer faces and explain its meaning.
(v) Derive the consumer’s optimal choice of consumption. Explain.

Added by 家辉张.

Principles of Economics

Gregory Mankiw 8th Edition

Instant Answer

Solved by Expert Manasvee Singh

08/29/2023

Step 1

It is calculated as the ratio of the marginal utilities of the two goods. The marginal utility of x1 is the derivative of the utility function with respect to x1, which is x2^4. The marginal utility of x2 is the derivative of the utility function with respect to Show more…

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A consumer has preferences represented by u(x1, x2) = x1x 4 2 and faces p1 = 5, p2 = 10 and income m = 90. (i) Calculate the MRS, explaining your working. (ii) Explain the meaning of the MRS as evaluated at consumption bundle (x1, x2) = (2, 2) (iii) Derive the budget constraint for this consumer and explain its components. (iv) Derive the price ratio this consumer faces and explain its meaning. (v) Derive the consumer’s optimal choice of consumption. Explain.