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A seamstress has 30 yards of cloth and 20 yards of thread to make small, medium, or large shirts. Each small s?

  • A seamstress has 30 yards of cloth and 20 yards of thread to make small, medium, or large shirts. Each small shirt takes 0.75 yards of cloth and 0.5 yards of thread; each medium shirt takes 1 yard of cloth and 0.7 yards of thread, and each large shirt takes 1.2 yards of cloth and 0.9 yards of thread. Each type of shirt takes 30 minutes to sew and the seamstress has 16 hours of time she can devote to sewing. A large shirt sells for $15, a medium for $12, and a small for $10. Let S = number of small shirts, M = number of medium shirts, L = number of large shirts, C= yards of for cloths T=yards of thread What is an appropriate objective function for this problem?

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    What is the largest sales volume in dollars that she can make with the given materials and how many of each size should she make to achieve this?

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What is the largest sales volume in dollars that she can make with the given materials and how many of each size should she make to achieve this?

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