(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= 0.06m + 0.07h subject to 500m + 100h 2 2400 300m + 150h 2 2700 100m + 150h 2 1500 m 20, 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 6 Maxivite pill(s) and 6 Healthovite pill(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 choice below, and if necessary, fill in the answer boxes to complete your choice. A. The walrus receives 1200 mg more iron, 0 mg more vitamin B-1, and 0 mg more vitamin B-2 than he needs. (Type whole numbers.) B. The walrus 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 walrus receive more than the minimum needed, still meet the other constraints, and minimize the cost? Explain. Choose the correct answer below. O A. 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 vitamin without affecting the total cost. O B. Replacing one of the Maxivite pills with an extra Healthovite pill would make it so the walrus does not receive more than the minimum needed of any vitamin without affecting the total cost. O C. It is 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. O D. 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 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. O E. In the solution for part (a), the walrus does not receive more than the minimum amount he needs of any vitamin.A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2700 mg of iron, 2100 mg of vitamin B-1, and 1500 mg of vitamin B-2. One Maxivite pill contains 500 mg of iron, 100 mg of vitamin B-1, and 50 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 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. V C= subject to 500m + 100h 100m + 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.)