A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2300 mg of iron, 2700 mg of vitamin B-1, and 1200 mg of vitamin B-2. One Maxivite pill contains 300 mg of iron, 300 mg of vitamin B-1, and 50 mg of vitamin B-2, and costs $0.06. One Healthovite pill provides 100 mg of iron, 150 mg of vitamin B-1, and 150 mg of vitamin B-2, and costs $0.04. 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. subject to 300m + 100h s 300m + 150h 50m + 150h m20, h 2 0. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.)
A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2300 mg of iron, 2700 mg of vitamin B-1, and 1200 mg of vitamin B-2. One Maxivite pill contains 300 mg of iron, 300 mg of vitamin B-1, and 50 mg of vitamin B-2, and costs $0.06. One Healthovite pill provides 100 mg of iron, 150 mg of vitamin B-1, and 150 mg of vitamin B-2, and costs $0.04. 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. subject to 300m + 100h s 300m + 150h 50m + 150h m20, h 2 0. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.)
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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Transcribed Image Text:A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2300 mg of iron, 2700 mg of vitamin B-1,
and 1200 mg of vitamin B-2. One Maxivite pill contains 300 mg of iron, 300 mg of vitamin B-1, and 50 mg of vitamin B-2, and costs $0.06. One
Healthovite pill provides 100 mg of iron, 150 mg of vitamin B-1, and 150 mg of vitamin B-2, and costs $0.04. 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.
C=
subject to
300m + 100h
300m + 150h
50m + 150h
m20, h 2 0.
(Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.)
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