(See Solution) The statistics department of an appliance manufacturer has estimated that the demand function for their brand (brand X) automatic washer
Question: The statistics department of an appliance manufacturer has estimated that the demand function for their brand (brand X) automatic washer (number purchased annually) is as follows:
Q x = 197,000 -100P x + 50P y + 0.1Y+ 0.02A + 10,000P L
where
P x = the price of the company's washer
Py = the price of a major competitor's washer
Y = the average household income
A = the annual dollars spent on advertising
P L = the cost of doing one load of wash in a self-service laundry.
- If P y = $300, Y = $10,000, A = $200,000, and P L = $0.30, find the price elasticity of demand between P x = $350 and P x = $400. (When P x = $400, with the values of the other variables as given above, Qx = 180,000.)
- Is e p elastic, inelastic, or unitary elastic? Why? If you decrease price, does total revenue increase, decrease, or not change?
- Find the income elasticity of demand for Q x , given P x = $400, and the other variables are as given in part (a). Interpret your answer, i.e., what does it say, if anything, about the demand for brand X washers?
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