1. a) Find the sensitivity ranges for the objective function coefficients 1 and 2 (10 points).

2. b) Find the sensitivity ranges for the right hand side coefficients1, 2 and 3 (30 points).

Problem 2 Holiday Meal Turkey Ranch is considering buying two different types of product to feed their turkeys. Each product contains, in varying proportions, some or all of the three nutritional ingredients essential for fattening turkeys. Brand Y costs $0.02 per pound. Brand Z costs $0.03 per pound. The rancher would like to determine the lowest-cost diet that meets the minimum monthly intake requirement for each nutritional requirement. The following table contains the relevant information about the composition of both brands, as well as the minimum monthly requirement for each nutritional ingredient per turkey. Composition of each lb of food Brand Y Brand Z Ingredient A 5 oz 4 oz 0.5 oz 10 oz 3 Oz Minimum monthly requirement 90 oz 48 oz 1.5 oz B 0 a) Find the sensitivity ranges for the objective function coefficients c1 and cz (10 points). b) Find the sensitivity ranges for the right hand side coefficientsq1, 92 and q3 (30 points). 20 18 Min Z = 0.02x1 + 0.03x2 Sct. 5x + 10x, > 90 (1) 4x1 + 3x2 2 48 (2) 0.5x1 > 1.5 (3) X1,82 20 16 14 12 Problem 2 10 Constraint (1) Constraint (2) Constraint (3) 00 6 Isoprofit line 2 6 8 10 12 14 16 18 20