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Creative Kitchen Tools Manufactures a Wide Line of Gourmet Cooking

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Creative Kitchen Tools manufactures a wide line of gourmet cooking tools from stainless steel.For the coming production period,there is demand of 1200 for eight-quart stock pots and unlimited demand for three-quart mixing bowls and large slotted spoons.In the following model,the three variables measure the number of pots,bowls,and spoons to make.The objective function measures profit.Constraint 1 measures steel,constraint 2 measures manufacturing time,constraint 3 measures finishing time,and constraint 4 measures the stock pot demand. Creative Kitchen Tools manufactures a wide line of gourmet cooking tools from stainless steel.For the coming production period,there is demand of 1200 for eight-quart stock pots and unlimited demand for three-quart mixing bowls and large slotted spoons.In the following model,the three variables measure the number of pots,bowls,and spoons to make.The objective function measures profit.Constraint 1 measures steel,constraint 2 measures manufacturing time,constraint 3 measures finishing time,and constraint 4 measures the stock pot demand.   ​ The final tableau is as follows:   ​  a.Calculate the range of optimality for c<sub>1</sub>,c<sub>2</sub>,and c<sub>3</sub>. b.Calculate the range of feasibility for b<sub>1</sub>,b<sub>2</sub>,b<sub>3</sub>,and b<sub>4</sub>. c.​ Suppose that the inventory records were incorrect and the company really has only 14,000 units of steel.What effect will this have on your solution? d.​ Suppose that a cost increase will change the profit on the pots to $4.62.What effect will this have on your solution? e.​ ​ Assume that the cost of time in production and finishing is relevant.Would you be willing to pay a $1.00 premium over the normal cost for 1000 more hours in the production department? What would this do to your solution? ​
The final tableau is as follows: Creative Kitchen Tools manufactures a wide line of gourmet cooking tools from stainless steel.For the coming production period,there is demand of 1200 for eight-quart stock pots and unlimited demand for three-quart mixing bowls and large slotted spoons.In the following model,the three variables measure the number of pots,bowls,and spoons to make.The objective function measures profit.Constraint 1 measures steel,constraint 2 measures manufacturing time,constraint 3 measures finishing time,and constraint 4 measures the stock pot demand.   ​ The final tableau is as follows:   ​  a.Calculate the range of optimality for c<sub>1</sub>,c<sub>2</sub>,and c<sub>3</sub>. b.Calculate the range of feasibility for b<sub>1</sub>,b<sub>2</sub>,b<sub>3</sub>,and b<sub>4</sub>. c.​ Suppose that the inventory records were incorrect and the company really has only 14,000 units of steel.What effect will this have on your solution? d.​ Suppose that a cost increase will change the profit on the pots to $4.62.What effect will this have on your solution? e.​ ​ Assume that the cost of time in production and finishing is relevant.Would you be willing to pay a $1.00 premium over the normal cost for 1000 more hours in the production department? What would this do to your solution? ​
a.Calculate the range of optimality for c1,c2,and c3.
b.Calculate the range of feasibility for b1,b2,b3,and b4.
c.​
Suppose that the inventory records were incorrect and the company really has only 14,000 units of steel.What effect will this have on your solution?
d.​
Suppose that a cost increase will change the profit on the pots to $4.62.What effect will this have on your solution?
e.​

Assume that the cost of time in production and finishing is relevant.Would you be willing to pay a $1.00 premium over the normal cost for 1000 more hours in the production department? What would this do to your solution?

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