3. All-Natural Coop makes three breakfast cereals, A, B, and C, from four ingredients:

rolled oats, raisins, shredded coconuts, and slivered almonds. The daily availabilities of the ingredients are 5 tons, 2 tons, 1 ton, and 1 ton, respectively. The corresponding costs per ton are $100, $120, $110, and $200. Cereal A is a 50:5:2 mix of oats, raisins, and almond.

Cereal B is a 60:2:3 mix of oats, coconut, and almond. Cereal C is a 60:3:4:2 mix of oats, raisins, coconut, and almond. The cereals are produced in jumbo 5-lb sizes. All-Natural sells A, B, and Cat $2, $2.50, and $3.00 per box, respectively. The minimum daily demand for cereals A, B, and Cis 500,600, and 500 boxes. Determine the optimal production mix of the cereals and the associated amounts of ingredients.