Transcript Jen Sites 7-14

Jen Sites 7-14
• The Electrocomp Corporation
manufactures tow electrical products: air
conditioners and large fans. The
assembly process for each is similar in
that both require a certain amount of
wiring and drilling. Each air conditioner
takes 3 hours of wiring and 2 hours of
drilling. Each fan must go through 2 hours
of wiring and 1 hour of drilling.
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• During the next production period, 240
hours of wiring time are available and up
to 140 hours of drilling time may be used.
Each air conditioner sold yields a profit of
$25. Each fan assembled may be sold for
a $15 profit. Formulate and solve this LP
production mix situation to find the best
combination of air conditioners and fans
that yields the highest profit. Use the
corner point graphical approach.
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Department Air
Fans
Conditioners
Wiring
3 hours
2 hours
240 per
week
Drilling
2 hours
1 hour
140 per
week
Profit per
unit
$25 per unit $15 per
unit
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• Maximazie profit =$25A + $15F
• Hours of wiring time used < 240 hrs per
week
• Hours of drilling time used < 140 hrs per
week
• A= Air contitioner
• F = Fan
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• Hours required to produce one unit
• Max profit (z) = 25A + 15F
• Subject to: 3A +2F < 240 (wiring)
»2A + 1F < 140 (drilling)
»A > 0
»F > 0
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• 3A + 2F = 240
A = 0 ----- F = 120 (0, 120)
F = 0 ----- A = 80 (80,0)
• 2A + 1F =140
A = 0 ----- F = 140 (0,140)
F = 0 ----- A = 70 (70,0)
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•
•
•
•
•
Air conditioners
Maximize
25 15
Wiring
3
2
Drilling
2
1
Solution-> 40 60
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Fans
<=
<=
RHS
240 5
140 5
$1,900.
7
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