A patient takes vitamin pills. Each day he must have at least 300 IU of vitamin A, 8 mg of vitamin B1, and 80 mg of vitamin C. He can choosebetween pill 1, which contains 120 IU of vitamin A, 2 mg of vitamin B1, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 2mg of vitamin B1, and 50 mg of vitamin C. Pill 1 costs 30¢, and pill 2 costs 60¢. 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?He should buyof pill 1 and of pill 2. The minimum cost is $(Simplify your answers. Type integers or decimals.)

We will construct a linear programming problem according to the given conditions and solve it using…

Answered: A patient takes vitamin pills. Each day…

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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About 1/3 of Samuel’s paycheck goes to housing, 1/6 goes to utility bills, 1/8 goes for his car, and 1/5 goes for food. How much of his paycheck is left for entertainment?
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Hello Dolly, Inc. crafts three styles of dolls: Lexi, Maysy, and Dizzy. Each doll requires sewing time, painting time, and supplies. Sewing machines are available for only 118 hours, only 2805 hours are available for painting, and 390.5 lbs. of supplies are available. Each Lexi doll requires 0.2 hours of sewing, 9 hours of painting, and 0.7 lbs. of supplies. Each Maysy doll requires 0.4 hours of sewing, 10 hours of painting, and uses 0.9 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 7 hours of painting, and 2 pounds of supplies. If the company earns a profit of $145 per Lexi doll, $155 per Maysy doll, and $150 per Dizzy doll, how many of each doll should the company produce to maximize profit? How much profit will result? (Use for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of Dizzy dolls.) Maximize P = subject to ≤118 ≤2805 <390.5 Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes…
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