Mark must take at least 32 units of vitamin A 13 units of vi

Mark must take at least 32 units of vitamin A, 13 units of vitamin B, and 71 units of vitamin C daily. He can choose between pill #1, which contains 8 units of A, 1 unit of B, and 2 units of C, or pill #2, which contains 2 units of A, 1 unit of B, and 7 units of C. Pill #1 costs $0.15 and pill #2 costs $0.30. How many of each pill should he buy in order to minimize his cost? What is his minimum cost? He should buy of pill #1 and of pill #2. The minimum cost is $. (Round to the nearest cent as needed.)

Solution

Given that Mark should take a minimum of

Vitamin A - 32 Units

Vitamin B - 13 Units

Vitamin C - 71Units

Pill #1 contains Vitamin A - 8 Units

Vitamin B - 1 Units

Vitamin C - 2 Units

Pill #2 contains Vitamin A - 2 Units

Vitamin B - 1 Units

Vitamin C - 7 Units

Here, we need to buy the pills inorder to minimiz the cost.

By making trials, it\'s found that 4 Pill#1 and 9 Pill#2 costs the minimum and satisfies the Mark\'s daily vitamin intake.

Therefore he should buy 4 of Pill#1 and 9 of Pill#2.

Cost of 4 Pill #1 is 4*0.15=0.6

Cost of 9 pill #2 is 9*0.30=2.7

Total cost is 0.6+2.7=3.3

Therefore,teh minimum cost is $3.3