A company makes color television sets. It produces a bargain set that sells for $370 profit and a deluxe set that sells for $560 profit. On the assembly line, the bargain set requires 5 hours, while the deluxe set takes 7 hours. The cabinet shop spends 1 hour on the cabinet for the bargain set and 2 hours on the cabinet for the deluxe set. Both sets require 4 hours for testing and packing. On a particular production run, the company has available 3600 work-hours on the assembly line, 900 work-hours in the cabinet shop, and 2800 work-hours in the testing and packing department. Complete parts (a) through (c). (a) How many sets of each type should the company produce to maximize profit? What is the maximum profit? The company should produce deluxe sets and bargain sets maximize profit. (Type whole numbers.)
A company makes color television sets. It produces a bargain set that sells for $370 profit and a deluxe set that sells for $560 profit. On the assembly line, the bargain set requires 5 hours, while the deluxe set takes 7 hours. The cabinet shop spends 1 hour on the cabinet for the bargain set and 2 hours on the cabinet for the deluxe set. Both sets require 4 hours for testing and packing. On a particular production run, the company has available 3600 work-hours on the assembly line, 900 work-hours in the cabinet shop, and 2800 work-hours in the testing and packing department. Complete parts (a) through (c). (a) How many sets of each type should the company produce to maximize profit? What is the maximum profit? The company should produce deluxe sets and bargain sets maximize profit. (Type whole numbers.)
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CM: Cumulative Review Problem Set
Problem 115CM
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Transcribed Image Text:A company makes color television sets. It produces a bargain set that sells for $370 profit and a deluxe set that sells for $560 profit. On the assembly line, the bargain set requires 5 hours, while the deluxe set takes 7 hours. The cabinet shop
spends 1 hour on the cabinet for the bargain set and 2 hours on the cabinet for the deluxe set. Both sets require 4 hours for testing and packing. On a particular production run, the company has available 3600 work-hours on the assembly line,
900 work-hours in the cabinet shop, and 2800 work-hours in the testing and packing department. Complete parts (a) through (c).
(a) How many sets of each type should the company produce to maximize profit? What is the maximum profit?
The company should produce
(Type whole numbers.)
deluxe sets and bargain sets to maximize profit.
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