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A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2200 mg of iron, 2400 mg of vitamin B-1, and 1500 mg of vitamin B-2. One Maxivite pill contains 400 mg of iron, 300 mg of vitamin B-1, and 75 mg of vitamin B-2, and costs $0.07. One Healthovite pill provides 100 mg of iron, 150 mg of vitamin B-1, and 150 mg of vitamin B-2, and costs $0.06. Complete parts (a)-(c) below. (a) What combination of Maxivite and Healthovite pills will meet the walrus's requirement at lowest cost? What is the lowest cost? Set up the linear programming problem. Let m represent the number of Maxivite pills, h represent the number of Healthovite pills, and c represent the total cost in dollars. Minimize c= 0.07m + 0.06h subject to 400m + 100h 2 2200 300m + 150h 2400 75m + 150h 2 1500 m20, h 2 0. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) The best combination of pills that meets the walrus's nutritional requirements is Maxivite pill(s) and Healthovite pill(s) at the lowest cost of $ (Type integers or decimals.)

A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2200 mg of iron, 2400 mg of vitamin B-1, and 1500 mg of vitamin B-2. One Maxivite pill contains 400 mg of iron, 300 mg of vitamin B-1, and 75 mg of vitamin B-2, and costs $0.07. One Healthovite pill provides 100 mg of iron, 150 mg of vitamin B-1, and 150 mg of vitamin B-2, and costs $0.06. Complete parts (a)-(c) below. (a) What combination of Maxivite and Healthovite pills will meet the walrus's requirement at lowest cost? What is the lowest cost? Set up the linear programming problem. Let m represent the number of Maxivite pills, h represent the number of Healthovite pills, and c represent the total cost in dollars. Minimize c= 0.07m + 0.06h subject to 400m + 100h 2 2200 300m + 150h 2400 75m + 150h 2 1500 m20, h 2 0. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) The best combination of pills that meets the walrus's nutritional requirements is Maxivite pill(s) and Healthovite pill(s) at the lowest cost of $ (Type integers or decimals.)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2200 mg of iron, 2400 mg of vitamin B-1, and 1500 mg of vitamin B-2. One Maxivite pill contains 400 mg of iron, 300 mg of vitamin B-1, and 75 mg of vitamin B-2, and costs $0.07. One Healthovite pill provides 100 mg of iron, 150 mg of vitamin B-1, and 150 mg of vitamin B-2, and costs $0.06. Complete parts (a)-(c) below. ..... (a) What combination of Maxivite and Healthovite pills will meet the walrus's requirement at lowest cost? What is the lowest cost? Set up the linear programming problem. Let m represent the number of Maxivite pills, h represent the number of Healthovite pills, and c represent the total cost in dollars. Minimize c= 0.07m + 0.06h subject to 400m + 100h 2 2200 300m + 150h 2 2400 75m + 150h 2 1500 m20, h 2 0. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) The best combination of pills that meets the walrus's nutritional requirements is Maxivite pill(s) and Healthovite pill(s) at the lowest cost of $ (Type integers or decimals.)
Transcribed Image Text:A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2200 mg of iron, 2400 mg of vitamin B-1, and 1500 mg of vitamin B-2. One Maxivite pill contains 400 mg of iron, 300 mg of vitamin B-1, and 75 mg of vitamin B-2, and costs $0.07. One Healthovite pill provides 100 mg of iron, 150 mg of vitamin B-1, and 150 mg of vitamin B-2, and costs $0.06. Complete parts (a)-(c) below. ..... (a) What combination of Maxivite and Healthovite pills will meet the walrus's requirement at lowest cost? What is the lowest cost? Set up the linear programming problem. Let m represent the number of Maxivite pills, h represent the number of Healthovite pills, and c represent the total cost in dollars. Minimize c= 0.07m + 0.06h subject to 400m + 100h 2 2200 300m + 150h 2 2400 75m + 150h 2 1500 m20, h 2 0. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) The best combination of pills that meets the walrus's nutritional requirements is Maxivite pill(s) and Healthovite pill(s) at the lowest cost of $ (Type integers or decimals.)
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