AMC manufactures high-quality home speakers and sells them only to retailers.The monthly demand for the speakers at a typical retail outlet is given by:P = 400 -Q. This means that marginal revenue is: MR = 400-2Q (letting P represent the retail price and Q the quantity demanded)

If AMC's wholesale price that they charge to retailers is $200 per unit,

(1) what is the price retailers will charge and

(2) what is AMC's monthly revenues (not the retailer's).

Assume that, except for the cost of the speakers players, all of the retailer's costs are fixed and that the retailer wishes to maximize profit.

Suppose AMC decides that instead of cutting the wholesale price of the speakers it will offer a $50 rebate to the consumer (that is, the wholesale price is still $200).Assuming that the rebate program imposes no cost on the retailer and that every consumer takes advantage of the rebate) calculate the retail price paid by the consumer at the store (that is, not net of the rebate), the quantity sold and the revenues earned by AMC (both the gross amount and revenues after paying the rebate).(Just make a distinction between the price charged by the retailer and the after-rebate price paid by the consumer.In doing so remember that the demand function given above describes the relationship between the price the consumer pays and the amount demanded.)