Mr. Healthnut likes to take daily vitamins. To save money, he purchases multivitamins, but unfortunately none of them have exactly what he wants in regards to Vitamin A, Iron and Calcium. The Centrum vitamin contains 125 units of Vitamin A, 75 units of Iron and 50 units of Calcium. The Geritol vitamin contains 250 units of Vitamin A, 0 units of Iron and 100 units of Calcium. His goal is to consume 500 units of Vitamin A, 150 units of Iron and 300 units of Calcium each day. Because of pressure from his wife, he insists on taking at least 1 Geritol per day as a minimum. The cost per vitamin is $.02 per Centrum pill and $.03 per Geritol pill. How many of each pill should he consume daily to ensure he meets his minimum goal at the lowest cost and what is that cost? Set up the linear programming problem and answer the following: 3a) How many Centrum pills should he consume daily? 3b) How many Geritol pills should he consume daily? 3c) How much will it cost each day for the pills? 3d) How much will the cost increase if the vitamin A minimum is increased by 1 unit?