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Having suffered an embarrassing defeat in Hobshire, Achlúk is rearming his army of orcs with axes, maces, and spears. This time, his budget is tight, and he wants to spend as little as possible but still inflict at least 4,800 units of damage on medium targets and 4,800 units of critical damage while keeping the total weight to no more than 2,600 pounds. What should his weapons arsenal look like, and how much will it cost? Axes Maces Spears Weapon Axe (Throwing) Javelin Longsword Mace (Light) Spear How much will it cost? gold pieces Cost (gold pieces) Damage to Medium Targets 8 1 15 5 2 6 6 8 6 8 Critical Damage Weight (pounds) 12 12 32 12 24 2 2 4 4 6

Having suffered an embarrassing defeat in Hobshire, Achlúk is rearming his army of orcs with axes, maces, and spears. This time, his budget is tight, and he wants to spend as little as possible but still inflict at least 4,800 units of damage on medium targets and 4,800 units of critical damage while keeping the total weight to no more than 2,600 pounds. What should his weapons arsenal look like, and how much will it cost? Axes Maces Spears Weapon Axe (Throwing) Javelin Longsword Mace (Light) Spear How much will it cost? gold pieces Cost (gold pieces) Damage to Medium Targets 8 1 15 5 2 6 6 8 6 8 Critical Damage Weight (pounds) 12 12 32 12 24 2 2 4 4 6

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Rearming the Orc Army: Resource Allocation Challenge** Achlúk has faced an embarrassing defeat in Hobshire, prompting him to rearm his army of orcs with various weapons: axes, maces, and spears. The primary goal is to ensure effective rearmament within strict constraints to prepare for upcoming battles. ### Constraints: - Budget: Spend as little as possible. - Damage Requirement: Inflict at least 4,800 units of damage on medium targets. - Critical Damage Requirement: Inflict at least 4,800 units of critical damage. - Weight Constraint: Keep the total weight to no more than 2,600 pounds. ### Available Weapons: | Weapon | Cost (gold pieces) | Damage to Medium Targets | Critical Damage | Weight (pounds) | | -------------- | ------------------ | ------------------------ | --------------- | --------------- | | Axe (Throwing) | 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 | ### Input Fields: - **Axes**: - **Maces**: - **Spears**: ### Total Cost: - **How much will it cost?** ____ gold pieces Achlúk needs to strategically choose the right quantities of each weapon to meet the combat requirements while adhering to the budget and weight limitations. The above table details the cost, attack efficiency, and weight of each available weapon, aiding in this decision-making process. Analyze and decide the optimal combination to maximize the army's effectiveness.
Transcribed Image Text:**Rearming the Orc Army: Resource Allocation Challenge** Achlúk has faced an embarrassing defeat in Hobshire, prompting him to rearm his army of orcs with various weapons: axes, maces, and spears. The primary goal is to ensure effective rearmament within strict constraints to prepare for upcoming battles. ### Constraints: - Budget: Spend as little as possible. - Damage Requirement: Inflict at least 4,800 units of damage on medium targets. - Critical Damage Requirement: Inflict at least 4,800 units of critical damage. - Weight Constraint: Keep the total weight to no more than 2,600 pounds. ### Available Weapons: | Weapon | Cost (gold pieces) | Damage to Medium Targets | Critical Damage | Weight (pounds) | | -------------- | ------------------ | ------------------------ | --------------- | --------------- | | Axe (Throwing) | 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 | ### Input Fields: - **Axes**: - **Maces**: - **Spears**: ### Total Cost: - **How much will it cost?** ____ gold pieces Achlúk needs to strategically choose the right quantities of each weapon to meet the combat requirements while adhering to the budget and weight limitations. The above table details the cost, attack efficiency, and weight of each available weapon, aiding in this decision-making process. Analyze and decide the optimal combination to maximize the army's effectiveness.
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