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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CR: Chapter Review
Problem 70E: A company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three...
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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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