# suppose a certain manufacturer has determined the price equation

*label*Business

*timer*Asked: May 13th, 2015

**Question description**

Suppose a certain manufacturer has determined the price equation (demand equation) for a certain product to be p=2.25-000025x. each item cost $0.25 to make and has fixed costs of $15,000. Because of physical considerations (lack of building room) the manufacturer can produce a maximum of 100,000 units.

A. use the price equation to create a revenue equation for this manufacturer.

B. create the total cost equation for the manufacturer.

C. create a profit equation for the manufacturer.

D. determine the appropriate domain for x based on the manufacturers limitations.

E. how many units should the manufacturer produce in order to maximize profits?

F. does this value fit into the domain specified in part "c"? why or why not?

G. determine the maximum profit.