You manage a small branch of your bank. You have developed a simplified total cost function given by C =20+4X and a revenue function given by R =22X-4X^2 , where X is the level of activity (in hundreds). C and R are both in units of $’000. 

A. Derive the expression for the total profit, P. 

B. Calculate the level of activity that maximizes profit and the amount of profit at that level of activity. 

C. What is your branch’s profit situation when the activity level is 350 units?