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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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
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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