The demand function for Newton's Donuts has been estimated as follows:
Qx = -14 - 54Px + 45Py + 0.62Ax
where Qx represents thousands of bagels; Px is the price per bagel; Py is the average price per bagel of other brands of bagels; and Ax represents thousands of dollars spent on advertising Newton's Donuts. The current values of the independent variables are Ax=120, Px=0.95, and Py=0.64.
Show all of your calculations and processes. Describe your answer for each question in complete sentences, whenever it is necessary.
a. Calculate the price elasticity of demand for Newton's Donuts and describe what it means. Describe your answer and show your calculations.
b. Derive an expression for the inverse demand curve for Newton's Donuts. Describe your answer and show your calculations.
c. If the cost of producing Newton's Donuts is constant at $0.15 per donut, should they reduce the price and thereafter, sell more donuts (assuming profit maximization is the company's goal)?
d. Should Newton's Donuts spend more on advertising?