A manufacturing plant produces computer mice, keyboards, and video game consoles. Thesales price, per-unit cost, per-unit labor usage, per-unit machine-time usage, and monthlydemand are given in the following table (also in worksheet):Each month, a total of 13,000 labor hours and 3,000 hours of machine time are available.How much of each product will maximize profit?Find and record the optimal amount of each productWhat is the maximized amount of profit? Mice Keyboards ConsoleSale Price 102016Cost to Produce297Labor usage/unit (hours)0.20.30.24Machine time/unit (hours)0.040.0550.04Monthly demand 150002900011000

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Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

ChapterP: Prerequisites

SectionP.FOM: Focus On Modeling: Making The Best Decisions

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A manufacturing plant produces computer mice, keyboards, and video game consoles. The
sales price, per-unit cost, per-unit labor usage, per-unit machine-time usage, and monthly
demand are given in the following table (also in worksheet):
Each month, a total of 13,000 labor hours and 3,000 hours of machine time are available.

How much of each product will maximize profit?
Find and record the optimal amount of each product
What is the maximized amount of profit?

	Mice	Keyboards	Console
Sale Price	10	20	16
Cost to Produce	2	9	7
Labor usage/unit (hours)	0.2	0.3	0.24
Machine time/unit (hours)	0.04	0.055	0.04
Monthly demand	15000	29000	11000