Manufacturing Kitchen Pride manufactures toastersand can openers, which are assembled on two different lines. Line 1 can assemble 15 toasters and 20 canopeners per hour, and line 2 can assemble 75 toastersand 20 can openers per hour. The company needs toproduce at least 540 toasters and 400 can openers. Ifit costs $300 per hour to run line 1 and $600 per hourto run line 2, how many hours should each line be runto fill all the orders at the minimum cost? What is theminimum cost?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 41E
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Manufacturing Kitchen Pride manufactures toasters
and can openers, which are assembled on two different lines. Line 1 can assemble 15 toasters and 20 can
openers per hour, and line 2 can assemble 75 toasters
and 20 can openers per hour. The company needs to
produce at least 540 toasters and 400 can openers. If
it costs $300 per hour to run line 1 and $600 per hour
to run line 2, how many hours should each line be run
to fill all the orders at the minimum cost? What is the
minimum cost?

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