d) What are the allowable values within the number of cooling coils can vary without affecting the shadow price? e) Is the problem degenerate? Explain! f) Are there alternative optima in this problem? Explain g) What value should be in the slack column that is given by ????
Question 2
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:
PLEASE ANSWER D to G
. If there are two possible answers one will suffice. Where necessary a
a) The profit per unit for deluxe model was increased to 150 per unit. Evaluate the effect
b) . Identify the range of optimality for each objective
c) If the number of fan motors available for production is increased by 100, evaluate the effect.
d) What are the allowable values within the number of cooling coils can vary without affecting the shadow price?
e) Is the problem degenerate? Explain!
f) Are there alternative optima in this problem? Explain
g) What value should be in the slack column that is given by ????
![Microsoft Execl 12.0 Answer Report
Worksheet: [Assignment 1 S1 2012-13 solutions.xls]Q 2 LP sensitivity (2)
Report Created: 9/16/2012 1:05:22 PM
Targe. Cell (Maa)
Original
Cell
Name
Value
Final Value
SES4 profit
16440
Adjustable Cells
Original
Valuc
Cell
Name
Final Value
number of units
SE$3 Eecnomy
80
SC$3 number of units stardard
120
SDS3 number of units deluxe
Constraints
Cell
Name
Cell Valuc
Formula
Status
Slack
SE$6 Fan motors
SES7 ccoling coils
200 SE$S<-SGS6 Binding
320 SE$7<=SGS7 Binding
Nut
SE$8 Manuf tine
2080 $E$3<-SGSE Binding
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