letters A-C

15. Given this linear programming model, solve the model and then answer the questions that follow, Maximize Z=12x1+18x2+15x3 where x1= the quantity of product 1 to make, etc. Subject to: Machine 5x1+4x2+3x3160 minutes Labor 4x1+10x2+4x3288 hours Materials 2x1+2x2+4x3200 pounds Product 216 units x1,x2,x30 a. Are any constraints binding? If so, which one(s)? b. If the profit on product 3 were changed to $22 a unit, what would the values of the decision variables be? The objective function? Explain. c. If the profit on product I were changed to $22 a unit, what would the values of the decision variables be? The objective function? Explain