A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2100 mg of iron, 2400 mg of vitamin B-1, and 1500 mg of vitamin B-2. One Maxivite pill contains 300 mg of iron, 200 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 $0.05. 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 200m + 150h 50m + 150h 10 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.) (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 mg more iron, mg more vitamin B-1, and mg more vitamin B-2 than he needs. (Type whole numbers.) O 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. 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 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 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 least one vitamin. D. 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 E. In the solution for part (a), the walrus does not receive more than the minimum amount he needs of any vitamin.(a) What combination of Maxivite and Healthovite pi Set up the linear programming problem. Let m repre CE - 100h - 150h Maximize 150h 20, h 2 0. Minimize nals for any numbers in the ex The best combination of pills that meets the walrus's (Type integers or decimals.) (b) In the solution for part (a), does the walrus receiCE subject to 300m + 100h 200m + 150h 50m + 150h m 20, h 2 (Use integers or decimals fo : in the expressions. [ The best combination of pills e walrus's nutritional (Type integers or decimals.) (b) In the solution for part (a Irus receive more tha O A. The walrus receives ron. mg more vita (Type whole numbers.)