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The demand for Craftmatic Adjustable Beds is described by Qc = P-1.60cI-0.80P1.20mA0.25, where Qc is the number of Craftmatic Adjustable Beds demanded, Pc is the price of a Craftmatic Adjustable Bed, I is per capita income, Pm is the price of a battery-powered massage pillow, and A is the advertising budget.
a. If the marginal cost of producing a Craftmatic Adjustable Bed is $200, what is the profit-maximizing price?
b. Per capita income in the United States is forecast to rise by 3% next year. How will this impact Craftmatic's sales?
c. The price of battery-powered massage pillows suddenly fell by 10%. How will this impace Craftmatic's sales?
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