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Problem #1
X1= 4, X2 = 2 (intersection of constraint 2 with constraint 3)
Z = 18
Problem #2:
a) If it costs $70 to produce 1000 tools at plant 1 and ship them to customer 1, what would be
the new solution to the problem and the profit?
( 1 point)
This corresponds to a decrease in the objective function coefficient of X11 from $140 (=
200 – 60) to $130 (=200 – 70). A decrease of $10 is within the allowable decrease of 20
thus the optimal solution will not change however the profit will decrease.
The optimal decision calls for the production of 10,000 tools at plant 1 and shipped to
customer 1 (X11 = 10) and the production of 11,670 tools at plant 2 and shipped to
customer 2 (X22 = 11.67). The profit will decrease by $100 and will be $2,233.33 (=
130(10) + 80(11.67))
b) If the price of an additional hour of labor were
reduced to
$4, would the company purchase
any additional labor?
(1 point)
This corresponds to a change in the objective function coefficient of the decision variable
L.
The objective function coefficient originally at 20 is now at 4. That represents an
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This note was uploaded on 02/08/2010 for the course MANAGEMENT ADM 2302 taught by Professor Notsure.... during the Spring '10 term at University of Ottawa.
 Spring '10
 notsure....

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