(6 points) The revenue from selling q items is R(q) = 200q - q2 , and the total cost is C(q) = 75 + 13q. Write a function that gives the total profit earned, and find the quantity which maximizes the profit. Profit P(q) = Quantity maximizing profit q =(7 points) For the given cost function C(x) = 3200 + 250x + 0.5;):2 and the demand function p(x) = 750, where p(x) is the price charged to sell x units. Find the production level that will maximaze profit. Note that the above production level may not be a whole number, which in reality doesn't make sense. Thus to truly answer this question, you should look at the production levels that are whole numbers on either side of your answer, and figure out which one gives you the bigger profit for your answer. The realistic production level that will maximize profit is units. (If your first answer is a whole number, just re-enter it here.) (6 points) A baseball team plays in a stadium that holds 56000 spectators. With the ticket price at $11 the average attendance has been 23000. When the price dropped to $10, the average attendance rose to 28000. a) Find the demand function p(x), where x is the number of the spectators. (Assume that p(x) is linear.) p(X) = b) How should ticket prices be set to maximize revenue? The revenue is maximized by charging $ ' per ticket. (6 points) The cost function of a particular product is C(x) = x3 904.5x2 18651x + 1853 and the demand function of the product is p(x) = 15x + 39. Find the production level that will maximize profit. Production Level =