The LP model and output below represent a problem whose solution will tell a specialty retailer how many of four different styles of umbrellas to stock in order to maximize profit. It is assumed that every one stocked will be sold. The variables measure the number of women's (X1), golf (X2), men's (X3), and folding umbrellas (X4), respectively. The constraints measure storage space in units (Constraint 1), special display racks (Constraint 2), demand (Constraint 3), and a marketing restriction (Constraint 4), respectively.  There is nothing you need to solve for this problem.  All questions below can be answered by the output. MAX 5 X1 + 7 X2 + 6 X3 + 4.5 X4 SUBJECT TO The LP model and output below represent a problem whose solution will tell a specialty retailer how many of four different styles of umbrellas to stock in order to maximize profit. It is assumed that every one stocked will be sold. The variables measure the number of women's (X1), golf (X2), men's (X3), and folding umbrellas (X4), respectively. The constraints measure storage space in units (Constraint 1), special display racks (Constraint 2), demand (Constraint 3), and a marketing restriction (Constraint 4), respectively.   MAX 5 X1 + 7 X2 + 6 X3 + 4.5 X4 SUBJECT TO   1)  2 X1 + 3 X2 + 3 X3 + X4 <= 120   2)  1.5 X1 + 2 X2 <= 54   3)  2 X2 + X3 + X4 <= 72   4)  X2 + X3 >= 12   How much space is left unused? How many racks are used?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section: Chapter Questions
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The LP model and output below represent a problem whose solution will tell a specialty retailer how many of four different styles of umbrellas to stock in order to maximize profit. It is assumed that every one stocked will be sold. The variables measure the number of women's (X1), golf (X2), men's (X3), and folding umbrellas (X4), respectively. The constraints measure storage space in units (Constraint 1), special display racks (Constraint 2), demand (Constraint 3), and a marketing restriction (Constraint 4), respectively.  There is nothing you need to solve for this problem.  All questions below can be answered by the output.

MAX 5 X1 + 7 X2 + 6 X3 + 4.5 X4

SUBJECT TO

The LP model and output below represent a problem whose solution will tell a specialty retailer how many of four different styles of umbrellas to stock in order to maximize profit. It is assumed that every one stocked will be sold. The variables measure the number of women's (X1), golf (X2), men's (X3), and folding umbrellas (X4), respectively. The constraints measure storage space in units (Constraint 1), special display racks (Constraint 2), demand (Constraint 3), and a marketing restriction (Constraint 4), respectively.  

MAX 5 X1 + 7 X2 + 6 X3 + 4.5 X4

SUBJECT TO

 

1)  2 X1 + 3 X2 + 3 X3 + X4 <= 120

 

2)  1.5 X1 + 2 X2 <= 54

 

3)  2 X2 + X3 + X4 <= 72

 

4)  X2 + X3 >= 12

 

How much space is left unused?

How many racks are used?

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,