P(x) = x(1284 - 0.19 x^2) - 810 - 380 x = -810 + 904 x - 0.19 x^3. In what follows the function P(x) will be considered for all real numbers.

P '(x) = 904 - 0.57x^2. The points where P '(x) = 0 are x = +- sqrt(904/0.57) = +- 39.8

(A) The average of x values is 39.8

(B) The average of x values is - 39.8.

(C) P ''(x) = -1.14x > 0 when x < 0 concave up on (-l 0)

(D) concave down on (0, l).

b, c, and d did not come out correct

The profit function does not make sense for negative values of x. I assumed that it would be considered for all real x. In this case, there is no local minimum (no point where P'(x) = 0) and in (B) put -1000.

(C) P(x) is concave up nowhere.

(D) P(x) is concave down on (0, l).

concave down (D) is still incorrect...the others are all good

It should be concave down on 0 < x < infty or (0, I). Which letter did you input for infinity, I ("eye")capital or

l (el) small?

sorry I mistook that for the number 1...Thank you so much

You are welcome.

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