e- Using the bottleneck method, what is the profit if the company manufactures the optimal product mix?

A Company makes four different types of Products: W, X, Y and Z. The contribution profit margins for these products are: $95 for Product W, $85 for Product X, $90 for Product Y and $100 for Product Z. Fixed overhead is estimated at $4,500 per week. The fabrication of each product requires four machines, Machines #1, 2, 3 and 4. Each of the machines is available for 40 hours a week and there is no setup time required when shifting from the production of one product to any other. The processing requirements to make one unit of each product are shown in the table. Weekly product demand for the next planning period has been forecasted as follows: 65 Ws, 70 Xs, 55 Ys and 25 Zs. Processing Time (Minutes Per unit of Product) Machine 1 Machine 2 Machine 3 Machine 4 Product W 20 5 5 10 X 5 10 15 10 Y 10 15 10 5 Z 15 5 5 10 a- Which machine is the bottleneck operation? b Using the traditional method, what is the optimal product mix? Using the traditional method, what is the profit if the company manufactures the optimal product mix? C- d- Using the bottleneck method. what is the optimal product mix