T-shirt company has three machines, I, II, and III, which can be used to produce two types of T-shirts, standard design and custom design. The following table shows the number of minutes required on each machine to produce the designs.   Machine I Machine II Machine III Standard 1 1 1 Custom 1 4 5 For efficient use of equipment, the company uses machine I at least 240 minutes per day, machine II at least 540 minutes per day, and machine III at least 1000 minutes per day. Each standard T-shirt costs $8, and each custom T-shirt costs $9. Find the number of each type of T-shirt that should be produced to minimize costs. (For each answer, enter an exact number.) standard design :     custom design    :  cost (in dollars)  :

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A T-shirt company has three machines, I, II, and III, which can be used to produce two types of T-shirts, standard design and custom design. The following table shows the number of minutes required on each machine to produce the designs.
  Machine I Machine II Machine III
Standard 1 1 1
Custom 1 4 5
For efficient use of equipment, the company uses machine I at least 240 minutes per day, machine II at least 540 minutes per day, and machine III at least 1000 minutes per day. Each standard T-shirt costs $8, and each custom T-shirt costs $9.
Find the number of each type of T-shirt that should be produced to minimize costs. (For each answer, enter an exact number.)
standard design :    
custom design    : 
cost (in dollars)  :  $ 
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To find the number of each type of T-shirt that should be produced to minimize costs.

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