A biologist has 400 kg of nutrient A, 600 kg of nutrient B, and 300 kg of nutrient C. These nutrients will be used to make 4 types of food, whose contents (in percent per kilogram of food) and whose 'growth values' are shown on the right. Set up the initial simplex tableau that would be used to determine how many kilograms of each food should be produced in order to maximize total growth. ABC Growth Value 0088 Q R S 0 12.5 87.5 20 62.5 12.5 100 80 25 0 100 901 70 50 Let x be the number of kilograms of food type P. Let x2 be the number of kilograms of Q. Let x3 be the number of kilograms of R, and let x, be the number of kilograms of S. What is the objective function? z= 100 x + 90 x2 + 70 x3 + 50 x4 Set up the initial simplex tableau for the problem. x1 x2 x3 X4 S1 S2 S3 0 0 1 0 0400 0 0.2 0.625 0.125 0 1 0 0.8 0.25 0 0 0 1 -70 -50 0 0 0 (Type an integer or decimal for each matrix element.)