A diet is to contain at least 10 ounces of nutrient P, 12 ounces of R and 20 ounces of S. These nutrients are to be obtained from foods A; B and C. Each pound of A costs 3 cents and contains Three ounces of P, Two ounces of R and Zero ounce of S. Each pound of B costs 6 cents and contains one ounce of P, Three ounces of R and Three ounce of S. Each pound of C costs 7 cents and contains Zero ounce of P, one ounces of R and five ounce of S. How many 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]
A diet is to contain at least 10 ounces of nutrient P, 12 ounces of R and 20 ounces of S. These nutrients are to be obtained from foods A; B and C. Each pound of A costs 3 cents and contains Three ounces of P, Two ounces of R and Zero ounce of S. Each pound of B costs 6 cents and contains one ounce of P, Three ounces of R and Three ounce of S. Each pound of C costs 7 cents and contains Zero ounce of P, one ounces of R and five ounce of S. How many 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]
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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A diet is to contain at least 10 ounces of nutrient P, 12 ounces of R and 20 ounces of S. These nutrients are to be obtained from foods A; B and C. Each pound of A costs 3 cents and contains Three ounces of P, Two ounces of R and Zero ounce of S. Each pound of B costs 6 cents and contains one ounce of P, Three ounces of R and Three ounce of S. Each pound of C costs 7 cents and contains Zero ounce of P, one ounces of R and five ounce of S. How many 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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