Attached problem please

A mad scientist has recently uncovered the process for making flubber. The cost of producing F grams of flubber is C(F) :3 F4 32F3 + 1141P2 137F+53. Gizmo Incorporated has obtained the formula and wants to sell flubber to maximize its profit. Since flubber is a controlled substance, the government has fixed the price per gram at P :7. How many grams of flubber should Gizmos Inc. produce to maximize its profit? \"En- If the government also limits how much can be produced to a maximum of 3 grams. and Gizmo Inc. cannot avoid any of its costs by shutting down then how much should Gizmos Inc. produce? \"En- Now suppose that it can avoid all of its costs by shutting down, and choosingF = 0. Now how many grams of flubber will it choose to produce? 192