The small backpack producer carries 4 different models of back packs, made of plastic, canvas, nylon and leather. Bookstore, that will exclusively sell backpacks, expects to be able to sell between 15 and 40 of each model. Store has agreed to pay $35.50 for every canvas backpack, $39.50 for every plastic backpack, $42.50 for every nylon backpack, and $69.50 for every leather backpack which can be delivered by end of following week.
One worker can work on either canvas or plastic can finish the backpack in 1.5 hours and will charge $7.00 per hour to do work. This worker can work the maximum of 90 hours during week. Other worker can sew backpack made of nylon fabric. He can finish the bag in 1.7 hours, will charge given price $8.00 per hour to work and can work 42.5 hours in next week. The third worker has ability to sew leather. He can finish book bag in 1.9 hours, will charge given cost $9.00 per hour to work, and can work 80 during week. The given table gives extra information about every backpack. Determine best combination of backpacks to give store to maximize profit?
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Backpack Model
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Material Required
(Square yards)
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Material Available
(Square yards
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Cost/Square yard
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|
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Canvas
|
2.25
|
200
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$4.50
|
|
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Plastic
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2.40
|
350
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$4.25
|
|
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Nylon
|
2.10
|
700
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$7.65
|
|
|
Leather
|
2.60
|
550
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$9.45
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