Question

1 point) A company has found that the relationship between the price p and the demand x for a particular product is given approximately by p=1281−0.17x2. The company also knows that the cost of producing the product is given by C(x)=870+398x. Find P(x), the profit function. P(x) = Now use the profit function to do the following: (A) Find the average of the x values of all local maxima of P. Note: If there are no local maxima, enter -1000. Average of x values = (B) Find the average of the x values of all local minima of P. Note: If there are no local minima, enter -1000. Average of x values = (C) Use interval notation to indicate where P(x) is concave up. Note: Enter 'I' for ∞, '-I' for −∞, and 'U' for the union symbol. If you have extra boxes, fill each in with an 'x'. Concave up: (D) Use interval notation to indicate where P(x) is concave down. Concave down:

Answer 1