Question

The manufacturer of a weight-training bench spends $15 to build each bench and sells them for $32. The manufacturer also has fixed costs each month of $25,500. a. Find the cost function C when x benches are manufactured. b. Find the revenue function R when x benches are sold. c. Find the break-even point.

Answer 1

Answer:

Step-by-step explanation:

C(x) = 15x + 25,500....cost function

R(x) = 32x .....revenue function

break even point (when they are equal)....so set them equal and solve for x

15x + 25,500 = 32x

25,500 = 32x - 15x

25,500 = 17x

25,500 / 17 = x

1500 = x.......so the break even point is when 1500 benches are sold

15x + 25,500 =                                   32x =

15(1500) + 25,500                              32(1500) =

22,500 + 25,500                                48,000

48,000

and after selling 1500 benches, they will both equal $48,000