A company manufactures and sells two models of lamps, LavaGlow and Light-All. To manufacture each lamp, the manual work involved in model LavaGlow is 20 minutes and for Light-All, 30 minutes. The mechanical (machine) work involved for LavaGlow is 20 minutes and for Light-All, 10 minutes. The manual work available per month is 100 hours and the machine is limited to only 80 hours per month. Knowing that the profit per unit is $15 and $10 for LavaGlow and Light-All, respectively, determine the quantities of each lamp that should be manufactured to obtain the maximum benefit.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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A company manufactures and sells two models of lamps, LavaGlow and Light-All. To manufacture each lamp, the manual work involved in model LavaGlow is 20 minutes and for Light-All, 30 minutes. The mechanical (machine) work involved for LavaGlow is 20 minutes and for Light-All, 10 minutes. The manual work available per month is 100 hours and the machine is limited to only 80 hours per month. Knowing that the profit per unit is $15 and $10 for LavaGlow and Light-All, respectively, determine the quantities of each lamp that should be manufactured to obtain the maximum benefit.

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