A fabric firm has received an order for cloth specified to contain at least 45 pounds of cotton and 25 pounds of silk. The cloth can be woven out of any suitable mix of two yarns A and B. They contain the proportions of cotton and silk (by weight) as shown in the following table: Cotton Silk 30%.. ...50% B .60%. 10% Material A costs $3 per pound, and B costs $2 per pound. What quantities (pounds) of A and B yarns should be used to minimize the cost of this order?

Understanding Business
12th Edition
ISBN:9781259929434
Author:William Nickels
Publisher:William Nickels
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
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A fabric firm has received an order for cloth specified to contain at least 45 pounds of cotton and 25 pounds of silk. The
cloth can be woven out of any suitable mix of two yarns A and B. They contain the proportions of cotton and silk (by
weight) as shown in the following table:
_Silk
.30%. .50%
B .60% .10%
Cotton
A
Material A costs $3 per pound, and B costs $2 per pound. What quantities (pounds) of A and B yarns should be used to
minimize the cost of this order?
Transcribed Image Text:A fabric firm has received an order for cloth specified to contain at least 45 pounds of cotton and 25 pounds of silk. The cloth can be woven out of any suitable mix of two yarns A and B. They contain the proportions of cotton and silk (by weight) as shown in the following table: _Silk .30%. .50% B .60% .10% Cotton A Material A costs $3 per pound, and B costs $2 per pound. What quantities (pounds) of A and B yarns should be used to minimize the cost of this order?
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