A tailor has the following materials available: 16 square yards of cotton, 11 square yards of silk, and 15 square yards of wool. A suit requires 2 square yards of cotton, 1 square yard of silk, and 1 square yard of wool. A gown requires 1 square yard of cotton, 2 square yards of silk, and 3 square yards of wool. Suppose the profit P is $30 on a suit and $50 on a gown. Find the maximum profit that can be made and the corresponding number of suits and gowns that yield the maximum profit. $ Numbef of suits sold to gain max. profit. Numbef of gowns sold to gain max. profit.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
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A tailor has the following materials available: 16 square yards of cotton, 11 square yards of silk, and 15 square yards of wool. A suit requires 2
square yards of cotton, 1 square yard of silk, and 1 square yard of wool. A gown requires 1 square yard of cotton, 2 square yards of silk, and 3
square yards of wool. Suppose the profit P is $30 on a suit and $50 on a gown.
Find the maximum profit that can be made and the corresponding number of suits and gowns that yield the maximum profit. $
Numbef of suits sold to gain max. profit.
Numbef of gowns sold to gain max. profit.
Transcribed Image Text:A tailor has the following materials available: 16 square yards of cotton, 11 square yards of silk, and 15 square yards of wool. A suit requires 2 square yards of cotton, 1 square yard of silk, and 1 square yard of wool. A gown requires 1 square yard of cotton, 2 square yards of silk, and 3 square yards of wool. Suppose the profit P is $30 on a suit and $50 on a gown. Find the maximum profit that can be made and the corresponding number of suits and gowns that yield the maximum profit. $ Numbef of suits sold to gain max. profit. Numbef of gowns sold to gain max. profit.
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