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) :
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
