Question

SRII DU 1.56 The figure on the right shows the graphs of the cost and revenue functions for a company that manufactures and sells small radios. More than how many radios must be produced and sold for the company to have a profit? 90,000 35,000 30,000 radios to have a profit. The company needs to produce and sell more than (Type a whole number.) 25,000 -C(X) = 12,000+ 15x 20,000 15,000 10,000 5,000 0 + 0 R(x) = 45% 100 200 300 400 500 600 700 Radios Produced and Sold

Answer 1

ANSWER:

In order to find the number of radios to been sold suh that there is a profit we will equate cost function and revenue function equal.

c(x) = r(x)

12,000 + 15x = 45x

12,000 = 45x - 15x

12,000 = 30x

x = 12,000 / 30

x = 400

so more then 400 radios need to be sold in order to have a profit.