Homework: 6.7 Systems of Linear Inequalities and Linear Prog Score: 0 of 1 pt 6.

Question

Homework: 6.7 Systems of Linear Inequalities and Linear Prog Score: 0 of 1 pt 6.7.69 12 of 13 (11 complen) My Score: 78.85%, 10.25 of 13pts Question Hep Anarrnalfaed to be mindfrom soybean meal and oats must oontain ? loast 120 tofpro-, 11 b of fat, und 10 bofmoral ash Each sack of seyboars ?STS andcontars 50 bor poten 6bdfat and Sb of prolein, & tb of fot, and 1 Ib of mineral ash How many sacks of each shouid be used to satisly the minimum requinements af minimum c of mineral nh Each sack of als costs $5 and contains 15 t What is the minimum cost ?(Rand to te ne-art) Enter your anewe box Ceck A cops loc

Explanation / Answer

Variables

1. optimal Soyabean meal sack = S

2. optimal Oats meal sack = T

constraints

1. protein requirement : 120 <= 50S+15T

2. fat requirement : 18 <= 6S+5T

3. mineral ash requirement : 10 <= 5S+T

4. S and T are non-negative integers

Objective

Minimize the cost: 15S+5T

Solution

so 1 sack of soyabean and 5 sacks of oat meals are required.

solved using excel solver

per sack total sack optimal qty protein fat mineral ash cost protein fat mineral ash cost soyabean 1 50 6 5 15 50 6 5 15 oats 5 15 5 1 5 75 25 5 25 total 125 31 10 40 min req. 120 18 10 constraint check 5 13 0

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