1. A special training diet is required for a high performing athletic animal at ACME Stables. Four diet foods are available for purchase. Food costs are 16.00 per 10 pounds of A, 5.20 per pound of B, 4.50 per 5 pounds of C, and 12.00 per 10 pounds of D. The diet requires a balance with both minimums and maximums on the amount consumed of the nutritional elements presence in the foods. The animal is large requiring a minimum of 3.0% of its 1200 pound body weight in food each day. The nutritional elements in the 4 foods as a percent of weight of the food are shown below for each nutritional element labeled 1 through 4 in this problem. Formulate and solve an LP model for the lowest cost diet for this animal at ACME. Element 1 Element 2 Element 3 Element 4 Food A 10% 5% 7.50% 2.50% B 3.50% 4.00% 6.00% 4.50% 8% 2.50% 1.50% 6.50% D 4.50% 2.00% 4% 1.50% Daily Min lbs 0.9 1.2 1.1 1.4 Daily Max lbs 1.8 2.1 3.4 2.5 a. How many pounds of A is part of the minimum cost diet? b. How many pounds (above the minimum) of extra intake of Element 3 are in the diet? c. What is the daily lowest cost for the diet? 1. A special training diet is required for a high performing athletic animal at ACME Stables. Four diet foods are available for purchase. Food costs are 16.00 per 10 pounds of A, 5.20 per pound of B, 4.50 per 5 pounds of C, and 12.00 per 10 pounds of D. The diet requires a balance with both minimums and maximums on the amount consumed of the nutritional elements presence in the foods. The animal is large requiring a minimum of 3.0% of its 1200 pound body weight in food each day. The nutritional elements in the 4 foods as a percent of weight of the food are shown below for each nutritional element labeled 1 through 4 in this problem. Formulate and solve an LP model for the lowest cost diet for this animal at ACME. Element 1 Element 2 Element 3 Element 4 Food A 10% 5% 7.50% 2.50% B 3.50% 4.00% 6.00% 4.50% 8% 2.50% 1.50% 6.50% D 4.50% 2.00% 4% 1.50% Daily Min lbs 0.9 1.2 1.1 1.4 Daily Max lbs 1.8 2.1 3.4 2.5 a. How many pounds of A is part of the minimum cost diet? b. How many pounds (above the minimum) of extra intake of Element 3 are in the diet? c. What is the daily lowest cost for the diet