The formulas below are the cost and revenue functions for a company that manufactures and sells small radios. a. use the formulas shown to write the company's profit function, p, from producing and selling x radios. b. find the company's profit if 21,000 radios are produced and sold c(x) 224,000+32x and r(x) 46x a. the company's profit function is p( your answer.)

(a) The profit function is P(x)=14x-224,000.

(b) The company's profit at x=21000 is 70,000.

Step-by-step explanation:

Cost function is

Revenue function is

where, x is number of radios.

(a)

Formula for profit:

Profit = Revenue - Cost

The profit function is

The profit function is P(x)=14x-224,000.

(b)

Substitute x=21000 in the above equation to find the company's profit if 21,000 radios are produced and sold.

Therefore the company's profit at x=21000 is 70,000.