please answer A, b and c will give thumbs up vote

Problem 225-17 (Algo) The M-N plant manufactures two different products: M and N. Selling prices and weekly market demands are shown in the following diagram. Each product uses raw materials with costs as shown. The plant has three different machines A, B and C Each performs different tasks and can work on only one unit of material at a time. Resources: A, B, Clone each) Availability: 2,700 min./week Operating expense: 510,000/week Product M $190/unit 100 units/week Product 5200/unit 50 units/week 15 min/unit 15 min./unit 20 mir/unit 15 min./unit 15 minut RM-1 $60 unit /RM-2 $40/unit RM-3 /340/unit Process times for each task are shown in the diagram. Each machine is available 2.700 minutes per week. There are no "Murphys" (major opportunities for the system to foul up) Setup and transfer times are zero. Demand is constant Operating expenses (including labor) total a constant $10,000 per week. Raw materials are not included in weekly operating expenses a. Which machine is the constraint in this plant? Machine A Machine B Machine C b. Which product mix provides the highest gross profit? (Hint, consider raw material cost but not operating expense) Product mix Product M Product N units units c. What in the maximum weekly net profit this plant can eam using the product mix from Part b? (Hint consider operating expense and raw material cost) Weekly net profit