Paul derives utility from cups of coffee (C) and donuts, which he eats a dozen at a time (D). His utility function is:                                                                     U = √C.D d. Show that Paul's income will not permit him to reach the =20 indifference curve. e. If Paul buys five dozen donuts, how many cups of coffee can he buy and what is his utility? f. Use a carefully drawn graph to show that the utility calculated in part e is the highest Paul can achieve with his $200.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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  1. Paul derives utility from cups of coffee (C) and donuts, which he eats a dozen at a time (D). His utility function is:

                                                                    U = √C.D

d. Show that Paul's income will not permit him to reach the =20 indifference curve.

e. If Paul buys five dozen donuts, how many cups of coffee can he buy and what is his utility?

f. Use a carefully drawn graph to show that the utility calculated in part e is the highest Paul can achieve with his $200.

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