College Algebra
posted by Anonymous please help :) on .
A company builds bicycles. Their fixed cost is 300,000 and it costs $500 to make each bicycle(labor,materials,etc.)
A)What is the cost equation and what is the average cost per bicycle?
B)If the revenue equation is 3x^2+3200x where x is the number of bicycles, how many bicycles does the company need to sell to maximize profits?

C(x) = 300000+500x
avgC(x) = C(x)/x = 300000/x + 500
P(x) = R(x)C(x) = 3x^2 + 2700x  300000
= 3(x^2 + 900x  100000)
max P(x) at 900/2 = 450