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 330 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
Problem 28EQ
icon
Related questions
Question

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 330 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) :

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell