D) Nonnegative constraints _________________________E) according to QM, the optimal solution of the above LP is X1= X2= X3=F) the optimal objective function value =___________( as given by QM)G) According to the optimal solution, how many pounds of mineral product should be put in the mix for a horse ?H) According to optimal solution, how many units of ingredient E contained in the mix for a horse ?

Paragraph Styles Page 315, #8-4. (20 pts) The Battery Park Stable feeds and houses the horses used to pull tourist-filled carriages through the streets of Charleston Ox historic waterfront area. The stable owner, an ex-racehorse trainer, recognizes the need to set a nutritional diet for the horses in his care. At the same time, he would like to keep the overall daily cost of feed to a minimum. The feed mixes available for the horses @ diet are an oat product, a highly enriched grain, and a mineral product. Each of these mixes contains a certain amount of five ingredients needed daily to keep the average horse healthy. The table on this page shows these minimum requirements, units of each ingredient per pound of feed mix, and costs for the three mixes. In addition, the stable owner is aware that an overfed horse is a sluggish worker. Consequently, he determines that 6 pounds of feed per day are the most that any horse needs to function properly_ Formulate this problem and solve for the optimal daily mix of the three feeds. Diet Requirements Oat Product Enriched Grain Mineral Product Mumining Daily Requirement Ingredients) (Units/LB) (Units/LB) (Units/LB) (Units) 0.5 co 0.5 Cost/LB 0.09 0.14 0.17 (a) Define variables (Give the complete meanings of the variables, indicating pounds of ounces, for one horse or for multiple horses.): XIF X, = X. = (b) Objective function in terms of variables: (pick one) Max or Min (objective function) (c) Constraints