An individuals utility function is given by U = 900x₁ + 500x2 + 6x₁x2 − x² – x²/2, when the weekly amount of leisure is *₁ = 140 and earned income is x₂ = 800 X1 x2 answer the following: 1. The marginal utility of ₁ is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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An individuals utility function is given by
U = 900x₁ + 500x2 + 6x₁x2x²-x²2/2,
when the weekly amount of leisure is
X1
140 and earned income is ₂ = 800
answer the following:
-
1. The marginal utility of ₁ is
2. The marginal utility of x2 is
3. Use the small increments formula to estimate
the change in the utility when ₁ decreases by
1 and 2 increases by 4. The change =
4. Does the law of diminishing marginal
utility hold?
5. The MRCS at a given values is
Enter non-integer numerical values as
decimals to at least 3 decimal
places. Note: you must use a. and not, for a
decimal point.
Transcribed Image Text:An individuals utility function is given by U = 900x₁ + 500x2 + 6x₁x2x²-x²2/2, when the weekly amount of leisure is X1 140 and earned income is ₂ = 800 answer the following: - 1. The marginal utility of ₁ is 2. The marginal utility of x2 is 3. Use the small increments formula to estimate the change in the utility when ₁ decreases by 1 and 2 increases by 4. The change = 4. Does the law of diminishing marginal utility hold? 5. The MRCS at a given values is Enter non-integer numerical values as decimals to at least 3 decimal places. Note: you must use a. and not, for a decimal point.
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