Weapon Cost (gold pieces) Damage to medium targets Critical damage Weight (pounds)   Throwing axe   8   6   12   2   Javelin   1   6   12   2   Longsword   15   8   32   4   Mace (light)   5   6   12   4   Spear   2   8   24   6   The Orc leader Achluk has up to 50,000 gold pieces to spend on an arsenal of axes, maces, and spears for his army of orcs for a planned assault on Hobshire, in which he would like to inflict as much damage on medium targets (like humans and hobbits) as possible. To avoid excessive transportation costs, Achluk needs to limit the total weight of the arsenal to 40,000 pounds or less, as his orcs are particularly fond of axes but not particularly skilled at spear-throwing, he would like to include at least as many axes as spears in the arsenal. What should his weapons arsenal look like, and how much damage on medium targets can be inflicted?   Define the variables.     Construct the objective and constraint functions.             Use Excel to use the simplex method to optimize the objective function. Paste the Excel output below

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Question

 

Weapon

Cost

(gold pieces)

Damage to medium targets

Critical damage

Weight

(pounds)

 

Throwing axe

 

8

 

6

 

12

 

2

 

Javelin

 

1

 

6

 

12

 

2

 

Longsword

 

15

 

8

 

32

 

4

 

Mace (light)

 

5

 

6

 

12

 

4

 

Spear

 

2

 

8

 

24

 

6

 

  1. The Orc leader Achluk has up to 50,000 gold pieces to spend on an arsenal of axes, maces, and spears for his army of orcs for a planned assault on Hobshire, in which he would like to inflict as much damage on medium targets (like humans and hobbits) as possible. To avoid excessive transportation costs, Achluk needs to limit the total weight of the arsenal to 40,000 pounds or less, as his orcs are particularly fond of axes but not particularly skilled at spear-throwing, he would like to include at least as many axes as spears in the arsenal. What should

his weapons arsenal look like, and how much damage on medium targets can be inflicted?

 

  • Define the variables.

 

 

  • Construct the objective and constraint functions.

 

 

 

 

 

 

  • Use Excel to use the simplex method to optimize the objective function. Paste the Excel output below

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  • Explain the results in sentence form.
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