Marty McDonald takes vitamin pills. Each day, he must have at least 3200 IU of vitamin A, 5mg of vitamin B1, and 200 mg of vitamin C. He can use a combination of pill 1 and pill 2. Pill 1 contains 1600 IU of vitamin A, 1mg of vitamin B1, and 20mg of vitamin C. Pill 2 contains 400IU of vitamin A, 1mg of vitamin B1, and 70mg of vitamin C. Each Pill 1 costs 10cents and each Pill 2 costs 20cents. How many of each pill should he buy in order tominimizehis costs?
Marty McDonald takes vitamin pills. Each day, he must have at least 3200 IU of vitamin A, 5mg of vitamin B1, and 200 mg of vitamin C. He can use a combination of pill 1 and pill 2. Pill 1 contains 1600 IU of vitamin A, 1mg of vitamin B1, and 20mg of vitamin C. Pill 2 contains 400IU of vitamin A, 1mg of vitamin B1, and 70mg of vitamin C. Each Pill 1 costs 10cents and each Pill 2 costs 20cents. How many of each pill should he buy in order tominimizehis costs?
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Marty McDonald takes vitamin pills. Each day, he must have at least 3200 IU of vitamin A, 5mg of vitamin B1, and 200 mg of vitamin C. He can use a combination of pill 1 and pill 2. Pill 1 contains 1600 IU of vitamin A, 1mg of vitamin B1, and 20mg of vitamin C. Pill 2 contains 400IU of vitamin A, 1mg of vitamin B1, and 70mg of vitamin C. Each Pill 1 costs 10cents and each Pill 2 costs 20cents.
How many of each pill should he buy in order tominimizehis costs?
Expert Solution
Step 1
Daily vitamins:
| Vitamins to be taken daily | Vitamin A | Vitamin B1 | Vitamin c |
| Minimum requirement of vitamins | 3200 IU | 5 mg | 200 mg |
| Pill 1 | 1600 IU | 1 mg | 20 mg |
| Pill 2 | 400 IU | 1 mg | 70 mg |
Cost of the pill:
Pill 1 cost = 10 cents
Pill 2 cost = 20 cents
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