A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2700 mg of iron, 2400 mg of vitamin B-1, and 1800 mgof vitamin B-2, One Maxivite pill contains 500 mg of iron, 200 mg of vitamin B-1, and 100 mg of vitamin B-2, and costs $0.05. One Healthovite pill provides 100 mg ofiron, 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 pils, h represent the number of Healthovite pills, and c represent the total cost indollars.Minimize c= 0.05m + 0.06hsubject to 500m + 100h 2 2700200m + 150h 2 2400100m + 150h 2 1800m20, 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 pilts that moets the walrus's nutritionai requirements is 6 Maxivito pills) and 8 Healthovite pil(s) at the lowest cost of $ 0.78.(Type integers or decimals.)(b) in the solution for part (a), does the walrus receive more than the minimum amount he needs of any vitamin? If so, which vitamin is it? Select the correct choicebelow, and if necessary, fill in the answer boxes to complete your choice.A. The walrus receives 1100 mg more iron, O mg more vitamin B-1, and o 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.(e) is there a way for the zookeeper to avoid having the walrus receive more than the minimum needed, stil meet the other constraints, and minimize the cost?Explain. Choose the correct answer below,OA Replacing one of the Maxivite pils with an extra Healthovite pill would make it so the walrus does not receive more than the minimum needed of any vitaminwithout affecting the total cost.OB. Replacing one of the Healthovite pills with an extra Maxivite pill would make it so the walrus does not receive more than the minimum needed of any vitaminwithout affecting the total cost.OC. tis not possible to find such a way. The corner point theorem states that because the feasible region is unbounded, the cost might not have a minimum,It is not possible to find such a way. The corner point theorem states that if the cost has a minimum, then it must occur at one or more corner points. This isthe solution found in part (a), and that solution requires the walrus to receive more than the minimum needed of at least one vitamin.OE. In the solution for part (a), the walrus does not receive more than the minimum amount he needs of any vitamin.

Name: A zookeeper has a walrus with a nutritional deficiency. She wants to
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2700 mg of iron, 2400 mg of vitamin B-1, and 1800 mgof vitamin B-2, One Maxivite pill contains 500 mg of iron, 200 mg of vitamin B-1, and 100

Question

Accepted Answer

The given problem is:
Min c=0.05m+0.06h
subject to
500m+100h≥2700200m+150h≥2400100m+150h≥1800m,h≥0