Standard Maximization problem
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Standard Maximization problem

[From: ] [author: ] [Date: 11-09-06] [Hit: ]
100-packs, 600-packs) should she order if she want to maximize her revenue?I cant figure out P = ?,x, y,......
Company sells batteries at following prices: 50-pack for $10.00, 100-pack for $18.00, 600-pack for $96.00.
An owner of an electronics store wants to buy at most 1000 batteries and spend at most $175. She will resell for $4.00 per 4-pack (sell all the batteries). How many packs (50-packs, 100-packs, 600-packs) should she order if she want to maximize her revenue?
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I can't figure out "P = ?", I have
10x + 18y +96z <= 175
50x + 100y + 600z <= 1000
x, y, z >= 0

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She should buy four 100-packs, and one 600 pack for a total of 1000 batteries and pay $168.
Clearly the 50 pack is more expensive than the 100 pack (two 50-packs cost $20 as compare to a one 100-pack that costs only $18)
Maximization is over 50 x + 100 y + 600 z
Note that the solution above is optimal as the she can do is have revenue of $1000.
Because, each battery is sold for $1 and the constraint 50x + 100y + 600z <= 1000 indicates that revenue can not exceed $1000.
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keywords: Maximization,problem,Standard,Standard Maximization problem
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