Yourdoctor has asked you to take 5 units of vitamin A, 13units of vitamin B and2

Question

Yourdoctor has asked you to take 5 units of vitamin A, 13units of vitamin B and23 unitsof vitamin

Cevery day. There are three brands available in your local pharmacywhich contain the following units of

vitamins A, B, C asindicated.

                      vitamin A      vitaminB       vitaminC

Brand1             1                  2                 4

Brand2             1                    1            3

Brand3            0                 1               1

(a) Findall combination of pills that provide you with the exact dailyrequirement (no partial

pills!).

(b) Ifbrands 1, 2, and 3 cost $0.90, $0.60, and $1.50 per pillrespectively, find the least expensive

treatment and its cost.

Explanation / Answer

So you choose Brand 1 and take 5 of them. That will giveyou 5 units of Vit. A, 10 of Vit. B, and 20 of Vit. C. Youare short of 3 units of Vit. B and 3 units of Vit C. So, youbuy brand 3 along with Brand 1. Then you take 3 of that. That will give you the exact dosage and that is the leastexpensive combination.

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