A diet is to contain at least 10 ounces of nutrientP, 12 ounces ofRand 20 ounces ofS. These nutrients are to beobtained from foodsA, BandC. Each pound ofAcosts 3 cents and contains Three ounces ofP, Two ounces ofRand Zero ounce ofS. Each pound ofBcosts 6 cents and contains one ounce ofP, Three ounces ofRand Threeounce ofS. Each pound ofCcosts 7 cents and contains Zero ounce ofP, one ounces ofRand five ounce ofS. Howmany pounds of each foods should be purchased if the stated dietary requirements are to be met at minimum cost ?[Do not use SIMPLEX method to solve this problem. Show all of your calculations in detail

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A diet is to contain at least 10 ounces of nutrientP, 12 ounces ofRand 20 ounces ofS. These nutrients are to beobtained from foodsA, BandC. Each pound ofAcosts 3 cents and contains Three ounces ofP, Two ounces ofRand Zero ounce ofS. Each pound ofBcosts 6 cents and contains one ounce ofP, Three ounces ofRand Threeounce ofS. Each pound ofCcosts 7 cents and contains Zero ounce ofP, one ounces ofRand five ounce ofS. Howmany pounds of each foods should be purchased if the stated dietary requirements are to be met at minimum cost ?[Do not use SIMPLEX method to solve this problem. Show all of your calculations in detail

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