Creative Kitchen Tools Manufactures a Wide Line of Gourmet Cooking

question 21

Essay

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?
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Definitions:

Skin Color

A phenotypic trait that is primarily determined by genetic inheritance and exposure to the sun, varying widely among individuals and populations.

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Socio-political categorizations of humans based on physical characteristics, heritage, and genetics, often mistakenly assumed to have significant biological basis.

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Categories into which human blood can be divided, based on the presence or absence of certain antigens; includes A, B, AB, and O blood types.

Cline

A gradual change in certain characteristics exhibited by members of a species over a geographical area.