college algebra word problem

Question

A company produces custom greeting cards. The cost C (in dollars) of producing n greeting cards per month can be modeled by the function C = 400 + 0.75n.

 Find the inverse of the model.

Use the inverse to determine the number of greeting cards produced when the company's cost to produce the cards was $887.50.

Answer 1

C=400 + 0.75n

n=400+0.75C

n= 400 + (3/4)(887.50) = 400 + 665.625 = 1065.625, round off to 1,066