You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to come up with a unit price for its hamburgers in order to maximize its weekly revenue. To make life as simple as possible, you assume that the demand equation for Johannesburg hamburgers has the linear form q = mp + b, where p is the price per hamburger, q is the demand in weekly sales, and m and b are certain constants you must determine.
(a) Your market studies reveal the following sales figures: When
the price is set at $2.00 per hamburger, the sales amount to 5000
per week, but when the price is set at $4.00 per hamburger, the
sales drop to zero. Use these data to calculate the demand
equation.
(b) Now estimate the unit price that maximizes weekly
revenue.
Predict what the weekly revenue will be at that price.
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