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 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?

Question

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 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?

Quizplus · Accepted Answer

The Answer of 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 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?

Creative Kitchen Tools Manufactures a Wide Line of Gourmet Cooking