Introduction In the popular computer game League of Legends, a player’s Effective Health, E, when defending...

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Introduction In the popular computer game League of Legends, aplayer’s Effective Health, E, when defending against physicaldamage is given by E = H(1 + 0.02A) where H and A denote theplayer’s chosen units of health and armor, respectively.Furthermore, a unit of health costs 4 gold pieces and a unit ofarmor costs 24 gold pieces. If you have 3,600 gold pieces to spendand you need to maximise the effectiveness E of your health andarmor to survive as long as possible against enemy attacks, howmuch of each should you buy?
A3. Thirty minutes into the game, you have 2,000health and 40 armor. You have 1,800 gold pieces to spend, and againhealth costs 4 gold per unit and armor costs 24 gold per unit. Ifthe goal is still to maximise the effectiveness E of your resultinghealth and armor (after purchase), how much of each should you buywith your 1,800 gold pieces (show your work).

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1 Let us assume that you buy units of healthTherefore you can buy assuming you would like to spend your entire money Effectivehealth is We want to maximize this See Answer

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