For the following problem, what would be the constraint that limits the capacity of Machine 1 considering that X1, X2, X3, and X4 are the number of units produced and sold of Products 1, 2, 3, and 4, respectively? Manufacturing time (hr) per unit Machine Cost per hr ($) Product 1 Product 2 Product 3 Product 4 Capacity (hr) 1 10 4 500 2 5 1 380 3 4 2 450 Unit selling price ($) 75 55 O a. 75X1+70X2+55X3+45X4 237 b. 2X1+3X2+4X3+2X4 <= 500 O c. 2X1+3X2+7X3 <= 75 O d. 20X1+30X2+40X3+20X4<=500 Clear my choice 323 70 221 45

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 53P
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For the following problem, what would be the constraint that limits the capacity of Machine 1 considering
that X1, X2, X3, and X4 are the number of units produced and sold of Products 1, 2, 3, and 4, respectively?
Manufacturing time (hr) per unit
Machine
Cost per hr ($) Product 1 Product 2
Product 3
Product 4 Capacity (hr)
1
10
4
500
2
5
1
380
3
4
2
450
Unit selling
price ($)
75
55
O a. 75X1+70X2+55X3+45X4
237
b. 2X1+3X2+4X3+2X4 <= 500
O c. 2X1+3X2+7X3 <= 75
O d. 20X1+30X2+40X3+20X4<=500
Clear my choice
323
70
221
45
Transcribed Image Text:For the following problem, what would be the constraint that limits the capacity of Machine 1 considering that X1, X2, X3, and X4 are the number of units produced and sold of Products 1, 2, 3, and 4, respectively? Manufacturing time (hr) per unit Machine Cost per hr ($) Product 1 Product 2 Product 3 Product 4 Capacity (hr) 1 10 4 500 2 5 1 380 3 4 2 450 Unit selling price ($) 75 55 O a. 75X1+70X2+55X3+45X4 237 b. 2X1+3X2+4X3+2X4 <= 500 O c. 2X1+3X2+7X3 <= 75 O d. 20X1+30X2+40X3+20X4<=500 Clear my choice 323 70 221 45
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