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The High Note Sound Company manufactures two quality Stereo Receivers: Product X1 and Product X2. Product X1 earns 50 dollars in profit whereas Product X2 earns 120 dollars. Product X1 requires two hours of an electrician's time and three hours of an audio technician's time, whereas Product X2 requires four hours of an electrician's time and one hour of an audio technician's time. In a month, the company has 80 hours of electrician's time available and 60 hours of audio technician's time available. a) Formulate the product mix LP model. b) Find the optimal product mix and profit. c) What if the profit margin for Product X1 increases from 50 to 70? Will it be optimal to produce X1?

The High Note Sound Company manufactures two quality Stereo Receivers: Product X1 and Product X2. Product X1 earns 50 dollars in profit whereas Product X2 earns 120 dollars. Product X1 requires two hours of an electrician's time and three hours of an audio technician's time, whereas Product X2 requires four hours of an electrician's time and one hour of an audio technician's time. In a month, the company has 80 hours of electrician's time available and 60 hours of audio technician's time available. a) Formulate the product mix LP model. b) Find the optimal product mix and profit. c) What if the profit margin for Product X1 increases from 50 to 70? Will it be optimal to produce X1?

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.5: Systems Involving Nonlinear Equations
Problem 41PS
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Problem 4: High Note Sound Company. The High Note Sound Company manufactures two quality Stereo Receivers: Product X1 and Product X2. Product X1 earns 50 dollars in profit whereas Product X2 earns 120 dollars. Product X1 requires two hours of an electrician's time and three hours of an audio technician's time, whereas Product X2 requires four hours of an electrician's time and one hour of an audio technician's time. In a month, the company has 80 hours of electrician's time available and 60 hours of audio technician's time available. a) Formulate the product mix LP model. b) Find the optimal product mix and profit. c) What if the profit margin for Product X1 increases from 50 to 70? Will it be optimal to produce X1? d) What if we have 100 electrician's hours? How much more profit will this company earn?
Transcribed Image Text:Problem 4: High Note Sound Company. The High Note Sound Company manufactures two quality Stereo Receivers: Product X1 and Product X2. Product X1 earns 50 dollars in profit whereas Product X2 earns 120 dollars. Product X1 requires two hours of an electrician's time and three hours of an audio technician's time, whereas Product X2 requires four hours of an electrician's time and one hour of an audio technician's time. In a month, the company has 80 hours of electrician's time available and 60 hours of audio technician's time available. a) Formulate the product mix LP model. b) Find the optimal product mix and profit. c) What if the profit margin for Product X1 increases from 50 to 70? Will it be optimal to produce X1? d) What if we have 100 electrician's hours? How much more profit will this company earn?
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