A manufacturer will produce shirts and vests. Each shirt requires 3 yards of cloth, while each vest requires 2 yards of cloth. The manufacturer has 60 yards of cloth available. Each shirt takes 15 minutes of labor to produce, while each vest takes 18 minutes of labor to produce. Assume there are 6 hours (360 minutes) of labor available. If the manufacturer earns $5 profit on each shirt and $3 profit on each vest, how much of each product should they produce

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
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2. A manufacturer will produce shirts and vests. Each shirt requires 3 yards of cloth, while each vest requires 2 yards of cloth. The manufacturer has 60 yards of cloth available. Each shirt takes 15 minutes of labor to produce, while each vest takes 18 minutes of labor to produce. Assume there are 6 hours (360 minutes) of labor available. If the manufacturer earns $5 profit on each shirt and $3 profit on each vest, how much of each product should they produce?
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