4. Toys-A-Go makes toys at Plant A and Plant B. Plant A needs to make a minimum of 1000 toy dump trucks and fire engines. Plant B needs to make a minimum of 800 toy dump trucks and fire engines. Plant A can make 10 toy dump trucks and 5 toy fire engines per hout. Plant B can produce 5 toy dump trucks and 15 toy fire engines per hour: It costs $30 per hour to produce toy dump trucks and $35 per hour to operate produce toy fire engines. How many hours should be spent on each toy in order to minimize cost? What is the minimum cost? YA Objective Function C 30x Constraints 0x + + 15y S x Vertices Solution: demp trucks fire engines 11

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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Question
4. Toys-A-Go makes toys at Plant A and Plant B. Plant A needs to make a minimum of 1000
toy dump trucks and fire engines. Plant B needs to make a minimum of 800 toy dump trucks
and fire engines. Plant A can make 10 toy dump trucks and 5 toy fire engines per hout. Plant B
can produce 5 toy dump trucks and 15 toy fire engines per hour: It costs $30 per hour to
produce toy dump trucks and $35 per hour to operate produce toy fire engines. How many
hours should be spent on each toy in order to minimize cost? What is the minimum cost?
YA
Objective Function
C 30x
Constraints
0x +
+ 15y
S x
Vertices
Solution:
demp trucks
fire engines
11
Transcribed Image Text:4. Toys-A-Go makes toys at Plant A and Plant B. Plant A needs to make a minimum of 1000 toy dump trucks and fire engines. Plant B needs to make a minimum of 800 toy dump trucks and fire engines. Plant A can make 10 toy dump trucks and 5 toy fire engines per hout. Plant B can produce 5 toy dump trucks and 15 toy fire engines per hour: It costs $30 per hour to produce toy dump trucks and $35 per hour to operate produce toy fire engines. How many hours should be spent on each toy in order to minimize cost? What is the minimum cost? YA Objective Function C 30x Constraints 0x + + 15y S x Vertices Solution: demp trucks fire engines 11
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