TMA manufactures 37-in. high definition LCD televisions in two separate locations, Locations I and II. The output at Location I is at most 6000 televisions/month, whereas the output at Location II is at most 5000 televisions/month. TMA is the main supplier of televisions to the Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 3000 and 4000 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows. To Pulsar Factories City A $6 From TMA City B $3 $11 Location I Location II $7 TMA will ship x televisions from Location I to city A and y televisions from Location I to city B. Find a shipping schedule that meets the requirements of both companies while keeping costs to a minimum. (x, y) = What is the minimum cost? $
TMA manufactures 37-in. high definition LCD televisions in two separate locations, Locations I and II. The output at Location I is at most 6000 televisions/month, whereas the output at Location II is at most 5000 televisions/month. TMA is the main supplier of televisions to the Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 3000 and 4000 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows. To Pulsar Factories City A $6 From TMA City B $3 $11 Location I Location II $7 TMA will ship x televisions from Location I to city A and y televisions from Location I to city B. Find a shipping schedule that meets the requirements of both companies while keeping costs to a minimum. (x, y) = What is the minimum cost? $
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
100%
I've been stuck on this problem all night and need help solving it please. Thanks so much!
![### TMA Manufacturing and Shipping Optimization
TMA manufactures 37-inch high definition LCD televisions in two separate locations, Location I and Location II. The output at Location I is at most 6000 televisions per month, while the output at Location II is at most 5000 televisions per month.
TMA is the primary supplier of televisions to the Pulsar Corporation, its holding company, thereby giving it priority in fulfilling all requirements. In a certain month, Pulsar placed orders for 3000 and 4000 televisions to be shipped to two of its factories located in City A and City B, respectively.
#### Shipping Costs
The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows:
| **From TMA** | **To Pulsar Factories** | | |
|---------------|-------------------------|---|---|
| | **City A** | **City B** |
| **Location I**| $6 | $3 |
| **Location II**| $7 | $11 |
#### Shipping Schedule
TMA will ship \( x \) televisions from Location I to City A and \( y \) televisions from Location I to City B. Your task is to find a shipping schedule that meets the requirements of both companies while minimizing costs.
\[
(x, y) = \left( \text{{Find the optimal values for }} x \text{{ and }} y \text{{ here}} \right)
\]
#### Calculation of Minimum Cost
What is the minimum shipping cost?
\[
\text{Minimum Cost} = \$ \left( \text{{Calculate and enter the minimum cost here}} \right)
\]
##### Detailed Diagram Information:
The provided data includes a table detailing the shipping costs from two locations (Location I and Location II) to two cities (City A and City B):
- Shipping a television from Location I to City A costs $6, and to City B costs $3.
- Shipping a television from Location II to City A costs $7, and to City B costs $11.
To minimize costs while meeting the shipping requirements of 3000 televisions to City A and 4000 televisions to City B, one must strategically allocate the shipment quantities from each location.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c4f1739-57e2-4399-a976-93f96ef5c2b4%2Fad0ca85b-b52b-4e44-8a03-ef8f0f565ccf%2Fttfgjji_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### TMA Manufacturing and Shipping Optimization
TMA manufactures 37-inch high definition LCD televisions in two separate locations, Location I and Location II. The output at Location I is at most 6000 televisions per month, while the output at Location II is at most 5000 televisions per month.
TMA is the primary supplier of televisions to the Pulsar Corporation, its holding company, thereby giving it priority in fulfilling all requirements. In a certain month, Pulsar placed orders for 3000 and 4000 televisions to be shipped to two of its factories located in City A and City B, respectively.
#### Shipping Costs
The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows:
| **From TMA** | **To Pulsar Factories** | | |
|---------------|-------------------------|---|---|
| | **City A** | **City B** |
| **Location I**| $6 | $3 |
| **Location II**| $7 | $11 |
#### Shipping Schedule
TMA will ship \( x \) televisions from Location I to City A and \( y \) televisions from Location I to City B. Your task is to find a shipping schedule that meets the requirements of both companies while minimizing costs.
\[
(x, y) = \left( \text{{Find the optimal values for }} x \text{{ and }} y \text{{ here}} \right)
\]
#### Calculation of Minimum Cost
What is the minimum shipping cost?
\[
\text{Minimum Cost} = \$ \left( \text{{Calculate and enter the minimum cost here}} \right)
\]
##### Detailed Diagram Information:
The provided data includes a table detailing the shipping costs from two locations (Location I and Location II) to two cities (City A and City B):
- Shipping a television from Location I to City A costs $6, and to City B costs $3.
- Shipping a television from Location II to City A costs $7, and to City B costs $11.
To minimize costs while meeting the shipping requirements of 3000 televisions to City A and 4000 televisions to City B, one must strategically allocate the shipment quantities from each location.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education