Cost Minimization problem. Lost.

xxzerozz

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Jan 27, 2012
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Taking a class in Finite Mathematics and I am stumped on this problem.

Each day you must take at least 16 units of vitamin A, 5 units of vitamin B1, and 20 units of C. You can choose between pill 1, which cost $0.10 and contains 8 units of A, 1 unit of B1, and 2 units of C; and pill 2, which costs $0.20 and contains 2 units of A, 1 unit of B1, and 7 units of C. How many of each pill should you buy in order to minimize your cost?
Okay so what I have so far are the equations: w= 16x + 5y + 20z8x + 1y + 2z ≥ .102x + 1y +2z ≥ .20x , y , z ≥ 0 since there has to be a positive amount here.

I've put them into matrix form, and I am stuck.
I attempted slack variables but I got lost again. I really do not know what to do as the book shows examples but they aren't clicking in my head at all.
 
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