**Problem 4: Vitamin Pill Optimization**A patient takes vitamin pills daily. The requirements are at least 180 IU of vitamin A, 3 mg of vitamin B1, and 60 mg of vitamin C. The options are:- **Pill 1**: Contains 120 IU of vitamin A, 1 mg of vitamin B1, and 10 mg of vitamin C, costing 10¢ per pill.- **Pill 2**: Contains 30 IU of vitamin A, 1 mg of vitamin B1, and 40 mg of vitamin C, costing 30¢ per pill.**Objective**: Determine the number of each pill to minimize the total cost.**Question (a)**: How many of each pill should be purchased to minimize the cost? What is the minimum cost?- **Solution**: He should buy [ ] of pill 1 and [ ] of pill 2. The minimum cost is [ ] $.(Simplify your answers. Type integers or decimals.)

Name: **Problem 4: Vitamin Pill Optimization**A patient takes vitamin pills
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Description: **Problem 4: Vitamin Pill Optimization**A patient takes vitamin pills daily. The requirements are at least 180 IU of vitamin A, 3 mg of vitamin B1, and 60 mg of vitamin C. The options are:- **Pill 1**: Contains 120 IU of vitamin A, 1 mg of vitamin B

Let the number of pills ordered be x1 for pill 1 and x2 for pill 2 minz=0.10x1+0.30x2such…

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4- A patient takes vitamin pills. Each day he must have at least 180 IU of vitamin A, 3 mg of vitamin B1, and 60 mg of vitamin C. He can choose between pill 1, which contains 120 IU of vitamin A, 1 mg of vitaminB1, and 10 mg of vitamin C, and pill 2, which contains 30 IU of vitamin A, 1 mg of vitamin B1, and 40 mg of vitamin C. Pill 1 costs 10¢, and pill 2 costs 30¢. Complete parts a and b below. a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? Lle obould buy of nill 1 and of pill 2. The minimum cost is $.

4- A patient takes vitamin pills. Each day he must have at least 180 IU of vitamin A, 3 mg of vitamin B1, and 60 mg of vitamin C. He can choose between pill 1, which contains 120 IU of vitamin A, 1 mg of vitaminB1, and 10 mg of vitamin C, and pill 2, which contains 30 IU of vitamin A, 1 mg of vitamin B1, and 40 mg of vitamin C. Pill 1 costs 10¢, and pill 2 costs 30¢. Complete parts a and b below. a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? Lle obould buy of nill 1 and of pill 2. The minimum cost is $.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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**Problem 4: Vitamin Pill Optimization**

A patient takes vitamin pills daily. The requirements are at least 180 IU of vitamin A, 3 mg of vitamin B1, and 60 mg of vitamin C. The options are:

- **Pill 1**: Contains 120 IU of vitamin A, 1 mg of vitamin B1, and 10 mg of vitamin C, costing 10¢ per pill.
- **Pill 2**: Contains 30 IU of vitamin A, 1 mg of vitamin B1, and 40 mg of vitamin C, costing 30¢ per pill.

**Objective**: Determine the number of each pill to minimize the total cost.

**Question (a)**: How many of each pill should be purchased to minimize the cost? What is the minimum cost?

- **Solution**: He should buy [ ] of pill 1 and [ ] of pill 2. The minimum cost is [ ] $.

(Simplify your answers. Type integers or decimals.)

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