contestada

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(x)-(Simplify your answer.)

Respuesta :

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

[tex]C(x)=224,000+32x[/tex]

Revenue function is

[tex]R(x)=46x[/tex]

where, x is number of radios.

(a)

Formula for profit:

Profit = Revenue - Cost

The profit function is

[tex]P(x)=R(x)-C(x)[/tex]

[tex]P(x)=46x-(224,000+32x)[/tex]

[tex]P(x)=46x-224,000-32x[/tex]

[tex]P(x)=14x-224,000[/tex]

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.

[tex]P(21000)=14(21000)-224,000[/tex]

[tex]P(21000)=294000-224,000[/tex]

[tex]P(21000)=70,000[/tex]

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

Otras preguntas