Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $63, $95, and $135, respectively. The production requirements per unit are as follows: (Attached) Where necessary a range analysis must be shown. a) What is the optimal solution and what is the value of the objective function? b) Which constraints are binding and which constraints show extra capacity? c) 100 hours of manufacturing time became available. Evaluate the effect? Explain.
Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $63, $95, and $135, respectively.
The production requirements per unit are as follows: (Attached)
Where necessary a range analysis must be shown.
a) What is the optimal solution and what is the value of the objective function?
b) Which constraints are binding and which constraints show extra capacity?
c) 100 hours of manufacturing time became available. Evaluate the effect? Explain.
d) The profit per unit for the deluxe model was increased to 150 per unit. Evaluate the effect
e) Identify the range of optimality for each objective function coefficient (unit profit).
Suppose the profit for the economy model is increased by $6 per unit, the profit for the standard model is decreased by $2 per unit, and the profit for the deluxe model is increased by $4 per unit. ( use the 100% rule) What will be the new optimal solution be?
f) If the number of fan motors available for production is increased by 100, evaluate the effect.
g) What are the allowable values within the number of cooling coils that can vary without affecting the shadow price?
h) Is the problem degenerate? Explain!
i) Are there alternative optima in this problem? Explain
j) What value should be in the slack column that is given by?
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