The demand function for Newton’s Donuts has been estimated as follows:
Qx = -14 – 54Px + 45Py + 0.62Ax
where Qx represents thousands of donuts; Px is the price per donut; Py is the average price per donut of other brands of donuts; 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.
- Calculate the price elasticity of demand for Newton’s Donuts and describe what it means. Describe your answer and show your calculations.
- Derive an expression for the inverse demand curve for Newton’s Donuts. Describe your answer and show your calculations.
- 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)?
- Should Newton’s Donuts spend more on advertising?
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