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) :
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
Problem 28EQ
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 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) : $
Expert Solution
Step 1
To find the number of each type of T-shirt that should be produced to minimize costs.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 1 images
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill