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.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.