The MN 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. Resonances: A, B. (we act!) Avallablity: 3,100 mlnfweek Opentlng expel-use: 51W Process times for each task are shown in the diagram. Each machine is available 3,100 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 $12,000 per week. Raw materials are not included in weekly operating expenses. a. Which machine is the constraint in this plant? 0 Machine A 0 Machine C 0 Machine B b. Which product mix provides the highest gross profit? (Hint: consider raw material cost but not operating expense) c. What is the maximum weekly net prot this plant can earn using the product mix from Part b? (Hint: consider operating expense and raw material cost} _:l