A company produces three types of shoes, formal, casual, and athletic, at its two factories; Factory I and Factory II. The company must produce at least 6000 pairs of formal shoes, 8000 pairs of casual shoes, and 9000 pairs of athletic shoes. Daily production of each factory for each type of shoe is: Formal Factory 1- 100 Formal Factory 2-100 Casual Factory 1- 100 Casual Factory 2- 200 Athletic Factory 1- 300 Athletic Factory 2-100 Operating Factory I costs $1500 per day and it costs $2000 per day to operate Factory II. What is the minimum cost to operate both factories? Round your answer to the nearest whole number. Do not include a dollar sign or comma in your answer.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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A company produces three types of shoes, formal, casual, and athletic, at its two factories; Factory I and Factory II. The company must produce at least 6000 pairs of formal shoes, 8000 pairs of casual shoes, and 9000 pairs of athletic shoes. Daily production of each factory for each type of shoe is:

Formal Factory 1- 100

Formal Factory 2-100

Casual Factory 1- 100

Casual Factory 2- 200

Athletic Factory 1- 300

Athletic Factory 2-100

Operating Factory I costs $1500 per day and it costs $2000 per day to operate Factory II. What is the minimum cost to operate both factories? Round your answer to the nearest whole number. Do not include a dollar sign or comma in your answer.

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