Azookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2400 mg of iron, 2700 mg of vitamin B-1, and 1200 mg of vitamin B-2. One Maxivite pill contains 200 mg of iron, 200 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 $0.09. Complete parts (a)-(c) below. (a) What combination of Maxivite and Healthovite pills will meet the wairus's requirement at lowest cost? What is the lowest cost? Set up the linear programming problem. Let m represent the number of Maxivite pillas, h represent the number of Healthovite pills, and c represent the total cost in dollari subject to 200m+100h 200m+150h 75m +150h m20, h 20. (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 wairus's nutritional requirements is (Type integers or decimals) Maxivite pil(s) and Healthovite pill(s) at the lowest cost of $ (b) in the solution for part (a), does the wairus receive more than the minimum amount he needs of any vitamin? If so, which vitamin is it? Select the correct choice below, and if necessary, in the answer boxes to complete your choice OA The walrus receives mg more iron,mg more vitamin B-1, and mg more vitamin B-2 than he needs. (Type whole numbers.) OB. The wairus does not receive more than the minimum, amount he needs of any vitamin (c) is there a way for the zookeeper to avoid having the wairus receive more than the minimum needed, stil meet the other constraints, and minimize the cost? Explain. Choose the correct answer below OA It is not possible to find such a way. The comer point theorem states that because the feasible region is unbounded, the cost might not have a minimum. B. It is not possible to find such a way. The comer point theorem states that if the cost has a minimum, then it must occur at one or more comer points. This is the solution found in part (a), and that solution requires the walrus to receive more than the minimum needed of at least one vitamin

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Azookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2400 mg of iron, 2700 mg of vitamin B-1, and 1200 mg of vitamin B-2. One Maxivite pill
contains 200 mg of iron, 200 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
$0.09. Complete parts (a)-(c) below.
(a) What combination of Maxivite and Healthovite pills will meet the wairus's requirement at lowest cost? What is the lowest cost?
Set up the linear programming problem. Let m represent the number of Maxivite pillas, h represent the number of Healthovite pills, and c represent the total cost in dollari
subject to
200m+100h
200m+150h
75m +150h
m20, h 20.
(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 wairus's nutritional requirements is
(Type integers or decimals)
Maxvite pil(s) and Healthovite pill(s) at the lowest cost of $
amount he needs of any vitamin? If so, which vitamin is it? Select the correct choice below, and if necessary, in the
(b) in the solution for part (a), does the wairus receive more than the minimum
answer boxes to complete your choice
OA The walrus receives mg more iron,mg more vitamin B-1, and mg more vitamin B-2 than he needs.
(Type whole numbers.)
OB. The wairus does not receive more than the minimum, amount he needs of any vitamin
(c) is there a way for the zookeeper to avoid having the wairus receive more than the minimum needed, stil meet the other constraints, and minimize the cost? Explain. Choose the correct answer
below
OA It is not possible to find such a way. The comer point theorem states that because the feasible region is unbounded, the cost might not have a minimum.
B. It is not possible to find such a way. The comer point theorem states that if the cost has a minimum, then it must occur at one or more comer points. This is the solution found in part (a), and
that solution requires the walrus to receive more than the minimum needed of at least one vitamin
Transcribed Image Text:Azookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2400 mg of iron, 2700 mg of vitamin B-1, and 1200 mg of vitamin B-2. One Maxivite pill contains 200 mg of iron, 200 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 $0.09. Complete parts (a)-(c) below. (a) What combination of Maxivite and Healthovite pills will meet the wairus's requirement at lowest cost? What is the lowest cost? Set up the linear programming problem. Let m represent the number of Maxivite pillas, h represent the number of Healthovite pills, and c represent the total cost in dollari subject to 200m+100h 200m+150h 75m +150h m20, h 20. (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 wairus's nutritional requirements is (Type integers or decimals) Maxvite pil(s) and Healthovite pill(s) at the lowest cost of $ amount he needs of any vitamin? If so, which vitamin is it? Select the correct choice below, and if necessary, in the (b) in the solution for part (a), does the wairus receive more than the minimum answer boxes to complete your choice OA The walrus receives mg more iron,mg more vitamin B-1, and mg more vitamin B-2 than he needs. (Type whole numbers.) OB. The wairus does not receive more than the minimum, amount he needs of any vitamin (c) is there a way for the zookeeper to avoid having the wairus receive more than the minimum needed, stil meet the other constraints, and minimize the cost? Explain. Choose the correct answer below OA It is not possible to find such a way. The comer point theorem states that because the feasible region is unbounded, the cost might not have a minimum. B. It is not possible to find such a way. The comer point theorem states that if the cost has a minimum, then it must occur at one or more comer points. This is the solution found in part (a), and that solution requires the walrus to receive more than the minimum needed of at least one vitamin
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