4. A certain wholesale paint dealer, in buying and distributing x cases of paint per week, incurs the following expanses: (1) Fixed cost (rent, etc.) of $1200 per week. (2) An expense of $60x per week representing the cost of paint itself to the dealer. (3) A cost of $ per week for storing the inventory, handing accounts, etc. Sales can be maintained at a rate of x cases per week at a price of p dollars per case, where x=2160 - 24 p. Finally, due to space and other limitations, the dealer's maximum level of operations is the distribution of 1000 cases per week. Determine the price p at which the dealer should sell each case in order to maximize the weekly profit of the business. Plot the graph of the profit function and find out what is the maximum weekly profit. profit = revenue - cost cost is given in (1), (2), and (3); revenue = x*p; where x =2160 - 24 p, convert a relation p to be a function of x (solve for p)