Math, asked by mayuriwaghode, 10 months ago

the price p that a company charges for a kit is given by p=40-4x*2 where x is number of kits produced.The C. P of each kit is 15rupees find the polynomial expressing company's profit for x kits. ​

Answers

Answered by pandiyanj
0

Answer: $21 million

Step-by-step explanation:

The price P (in dollars) that a radio manufacturer is able to charge for a radio is given by P =40-4x^2 where x is the number (in millions) produced.

It costs the company $15 to make a radio.

:

a.) Write an expression for the company's total revenue in terms of x (Could you explain the process for finding this expression?)

:

Revenue = no. of radios sold * price of the radio

R(x) = x(40-4x^2)

R(x) = -4x^3 + 40x

:

:

b.) Write a function for the company's profit P by subtracting the total cost to make x radios from the expressions in Part A(the one just found)

:

Profit = Revenue - the total cost, (15x is the cost of all the radios sold)

P(x) = -4x^3 + 40x - 15x

P(x) = -4x^3 + 25x

:

:

c.) Currently, the company produces 1.5 million radios and makes a profit of $24,000,000.

Write and solve an equation to find a lesser number of radios that the company could sell and still make a profit.

:

Assume they make 1 million radios,

equation is in millions of radios and millions of dollars

P(x) = -4x^3 + 25x

x = 1 (million)

P(x) = -4(1^3) + 25(1)

P(1) = -4 + 25

P(x) = $21 million in profit when they make 1 million radios

;

d.) Do all the solutions in part c make sense in this situation? Explain.

:

Graphically we can explain it easily,

y = millions of dollars profit, x = millions of radios sold

Green line is $21 million

Answered by guest666
0

Answer:

I don’t know

Step-by-step explanation:

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