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 elf leader Galandir has up to 30,000 gold pieces to spend on an arsenal of javelins, longswords, and spears for her band of elves for a planned assault on Mordruk in which she would like to inflict as much critical damage possible. For the sake of swiftness the total weight of Galandir’s arsenal cannot exceed 3000 pounds, and as the elves are particularly skilled at javelin-throwing she would like to include at least half as many javelins as swords. What should her weapons arsenal look like, and how much critical damage 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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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 elf leader Galandir has up to 30,000 gold pieces to spend on an arsenal of javelins, longswords, and spears for her band of elves for a planned assault on Mordruk in which she would like to inflict as much critical damage possible. For the sake of swiftness the total weight of Galandir’s arsenal cannot exceed 3000 pounds, and as the elves are particularly skilled at javelin-throwing she would like to include at least half as many javelins as swords. What should her weapons arsenal look like, and how much critical damage 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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