Please help me answer all the questios:

Q1:

(2 points) The demand for a fitness video game roughly follow the equation p = 100 l, 0 S x 5 34, wherep is the unit price and x is the number of units sold. It costs the supplier C = 0.04Jr2 + 15x + 900 dollars to sell a total of x units. (a) Write profit as a function of x (assuming that the level of demand drives production). P(x) = (b) At what production level is profit maximized? What is the maximum profit? (0) At what production level is profit decreasing most rapidly? (2 points) A company has found that the relationship between the price p and the demand A: for a particular product is given approximately by p = 1181 0.228. The company also knows that the cost of producing the product is given by C(x) = 880 + 396x. 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 '|' for 00, 'l' for 00, 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