A company produces two products, A and B. Tabulated below are: the amount of raw materials...

A company produces two products, A and B. Tabulated below are: the amount of raw materials and water required to produce each unit of products A and B, production rates (units of A or B produced per hour of production time), and profit per unit produced for each product.

The two products must share the total raw material, water, and production time avail­able each day. The total amount of raw material available per day to share between the two products is 3,150 pounds. A maximum of 14 hours/day of production time is available to allocate between the two products. A total of 3,000 gallons/day of water is available.

a. Formulate an LP model to determine the daily production rate for each product that will maximize profits.

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b. Solve the model graphically. You may use Excel or another program to check your solution.

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c. Is there one or more nonbinding constraints in your solution? If so, what does the non-binding constraint physically mean in this particular problem? If not, what does having no non-binding constraints mean in this problem?.

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d. How many feasible decision policies does the problem have?.

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e. How many optimum decision policies does the problem have?.

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f. Assume that the unit profits for both products A and B are reduced 50 percent to $12 and $10. How will this affect your solution?.

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g. Assume the unit profit for product A is fixed at $24 but the unit profit for prod­uct B is subject to change. How much would the $20 unit profit for B have to change to change the number of units of product B produced each day?