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Complete the table below. Number of hours for plant A Number of hours for plant B Orders 2 3

Complete the table below. Number of hours for plant A Number of hours for plant B Orders 2 3

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A supplier for the automobile industry manufactures car and truck frames at two different plants. How many hours should each plant be scheduled to operate to exactly fill each of the orders in the right table? The production rates (in frames per hour) for each plant are given in the left table. Plant A B Car Frames 5 10 Complete the table below. Number of hours for plant A Number of hours for plant B Truck Frames 5 4 1 Car frames Truck frames Orders 2 1 910 436 3 Orders 2 920 434 3 1480 1138
Transcribed Image Text:A supplier for the automobile industry manufactures car and truck frames at two different plants. How many hours should each plant be scheduled to operate to exactly fill each of the orders in the right table? The production rates (in frames per hour) for each plant are given in the left table. Plant A B Car Frames 5 10 Complete the table below. Number of hours for plant A Number of hours for plant B Truck Frames 5 4 1 Car frames Truck frames Orders 2 1 910 436 3 Orders 2 920 434 3 1480 1138
Expert Solution
Step 1 Introduction:

Here, I would determine the number of hours for plant A and the number of hours for plant B, 

Let me consider, for order 1, The number of hours for plant A is X1, the number of hours for Plant B is Y1,

For order 2, the number of hours for Plant A is X2, the number of hours for Plant B is Y2,

For order 3, the number of hours for Plant A is X3, the number of hours for Plant B is Y3,

Here, I would set up the linear system, then solve this problem, 

 

For order 1, 

5×X1+10×Y1=9105×X1+4×Y1=436

 

For order 2, 

5×X2+10×Y2=9205×X2+4×Y2=434

For order 3, 

5×X3+10×Y3=14805×X3+4×Y3=1138

Now, I would solve this system below, 

 

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