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:

Sensory Deprivation

A condition in which an individual lacks sensory input, often leading to heightened sensitivity, hallucinations, or distress.

Sensoristasis

The need for sensory stimulation.

Dementia

A broad category of brain diseases that cause a long-term and often gradual decrease in the ability to think and remember, significantly affecting an individual’s daily functioning.

Delusions

False beliefs held with strong conviction despite superior evidence to the contrary, often associated with psychiatric conditions.