7. An individual's utility function is given by U =1000x, +450x, +5 x,x, -2x – x where x, is the amount of leisure measured in hours per week and x, is income earned measured in cedis per week. Determine the value of the marginal utilities, when x = 138 and x, = 500. Hence estimate the change in utility if the individual works for an extra hour, which increases earned income by GH¢15 per week. Does the law of diminishing utility hold for this function?

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7. An individual's utility function is given by
U =1000x, +450x, +5 x,x, -2x - x
where x, is the amount of leisure measured in hours per
week and x, is income earned measured in cedis per week.
Determine the value of the marginal utilities, when x, = 138
and x, = 500. Hence estimate the change in utility if the
individual works for an extra hour, which increases earned
income by GH¢15 per week. Does the law of diminishing
utility hold for this function?
Transcribed Image Text:7. An individual's utility function is given by U =1000x, +450x, +5 x,x, -2x - x where x, is the amount of leisure measured in hours per week and x, is income earned measured in cedis per week. Determine the value of the marginal utilities, when x, = 138 and x, = 500. Hence estimate the change in utility if the individual works for an extra hour, which increases earned income by GH¢15 per week. Does the law of diminishing utility hold for this function?
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