Question

At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by R(x) = 58% - 0.3x2 and the total cost function is given by C(x) = 11x + 12, where x represents the number of boxes of computer chips produced. The total profit function, P(x), is such that P(x) = R(x) - C(x). Find P(x).

Answer 1

Given:

R(x) = 58x - 0.3x^2

C(x) = 11x + 12

P(x) = R(x) - C(x)

Let's find P(x),

P(x) = R(x) - C(x)

= 58x - 0.3x^2 - (11x + 12)

= 58x - 0.3x^2 -11x - 12

P(x) = 47x - 0.3x^2 - 12

Therefore, P(x) = 47x - 0.3x^2 - 12 or -0.3x^2 + 47x - 12. The answer is letter C.