n individual’s utility function is given by U = 900x1 + 500x2 + 6x1x2 − x21 − x2/2. When the weekly amount of leisure is x1 = 140 and earned income is x2 = 800 answer the following: (a)  What is the marginal utility of x1 ? (b)  What is the marginal utility of x2 ? (c)  Use the small increments formula to estimate the change in the utility when x1 decreases by 1 and x2 increases by 4. (d)  Does the law of diminishing marginal utility hold? (e)  What is the MRCS at a given values?

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Chapter1: Making Economics Decisions
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An individual’s utility function is given by

U = 900x1 + 500x2 + 6x1x2 − x21 − x2/2.
When the weekly amount of leisure is x1 = 140 and earned income is x2 = 800 answer the following:

(a)  What is the marginal utility of x1 ?

(b)  What is the marginal utility of x2 ?

(c)  Use the small increments formula to estimate the change in the utility when x1 decreases by 1 and x2 increases by 4.

(d)  Does the law of diminishing marginal utility hold?

(e)  What is the MRCS at a given values?

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