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Profit, P(x), is the difference between revenue, R(x), and cost, C(x), so P(x) = R(x) – C(x). Which
expression represents P(x), if R(x) = 2x4 – 3.2° + 2x – 1 and C(x) = x4 – x2 + 2x + 3?


Sagot :

Answer:

x^4 - 2.2x^2 - 4

Step-by-step explanation:

Given the following

R(x) = 2x4 – 3.2x^2 + 2x – 1 and C(x) = x4 – x2 + 2x + 3

Required

P(x)

Since P(x) = R(x) – C(x).

P(x) =   2x4 – 3.2x^2 + 2x – 1 – (x^4 – x^2 + 2x + 3).

Expand

P(x) = 2x4 – 3.2x^2 + 2x – 1 – x^4 + x^2 - 2x - 3

P(x) =   2x4 - x^4 - 3.2x^2 + x^2 + 2x - 2x -1 - 3

P(x) = x^4 - 2.2x^2 - 4

Hence the profit function is  x^4 - 2.2x^2 - 4