Manufacturing-Production Scheduling An acoustical company manufactures a CD storage cabinet that can be bought fully assembled or as a kit. Each cabinet is processed in the fabrications department and the assembly department. If the fabrication department only manufactures fully assembled cabinets, then it can produce 200 units/day; but if it only manufactures kits, then it can produce 300 units/day. Each fully assembled cabinet contributes $40 of profit, while each cabinet kit contributes $50 of profit. How many fully assembled units and contributes $40 of profit, while each cabinet kit contributes $50 of profit. How many fully assembled units and how many kits should the company produce per day in order to maximize its profits?

Let f = the number of fully assembled cabinets, and Let k = the number of cabinet kits Which option (a, b, c, or d) shows the correct objective function and constraints for this application?

A. Objective Function: Maximize Profit, P = 40f + 50k Constraints: f <= 200, k <= 300, f>= 0, k >= 0

B. Objective Function: Maximize Profit, P = 40f + 50k Constraints: f <= 300, k <= 200, f>= 0, k >= 0

C. Objective Function: Maximize Profit, P = 40f + 50k Constraints: f >= 200, k >= 300, f>= 0, k >= 0

D. Objective Function: Maximize Profit, P = 50f + 40k Constraints: f >= 200, k <= 300, f>= 0, k >= 0.