A nut packager has on hand 100 kg of peanuts, 50 kg of cashew nuts and 70 kg macademian nuts. He can sell 2 kinds of mixture of these nuts, a cheap mix is of 1 peanut, 7 cashew nuts, and 3 macademian nuts and a party mix is of 5 peanuts, 2 cashew nuts, and 1 macademian nut. He can sell the party mix at P3 per kg and cheap mix at P5 per kg. How many kilos of each should he make in order to maximize the amount he can obtain.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A nut packager has on hand 100 kg of peanuts, 50 kg of cashew nuts
and 70 kg macademian nuts. He can sell 2 kinds of mixture of these
nuts, a cheap mix is of 1 peanut, 7 cashew nuts, and 3 macademian
nuts and a party mix is of 5 peanuts, 2 cashew nuts, and 1
macademian nut. He can sell the party mix at P3 per kg and cheap mix
at P5 per kg. How many kilos of each should he make in order to
maximize the amount he can obtain.
Transcribed Image Text:A nut packager has on hand 100 kg of peanuts, 50 kg of cashew nuts and 70 kg macademian nuts. He can sell 2 kinds of mixture of these nuts, a cheap mix is of 1 peanut, 7 cashew nuts, and 3 macademian nuts and a party mix is of 5 peanuts, 2 cashew nuts, and 1 macademian nut. He can sell the party mix at P3 per kg and cheap mix at P5 per kg. How many kilos of each should he make in order to maximize the amount he can obtain.
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