all one question

Given this linear programming model, solve the model and then answer the questions that follow. 12x1 + 18x2+ 15x3 where x1 the quantity of product 1 to make etc. Maximize Subject to s Machine Labor 5x1 + 4x2 4x1 + 10x2 + 2x2 160 minutes 288 hours s Materials 2x1 200 pounds 16 units 0 Product 2 a-1. Are any constraints binding? Yes No a-2. If so, which one(s)? Machine and materials. Machine and labor O Materials O Labor O None + 3x3 + 4x3 + 4x3 s x2 5 x1, x2, x32 b-1. If the profit on product 3 changed to $22 a unit would the decision variables' values change? Yes b-2. What would the new value of the objective function be? The objective function value Z c-1. If the profit on product 1 changed to $22 a unit, would the decision variables' values change? Yes No c-2. Will the objective function value change, based on the change in C-1? Yes No d-1. If 10 hours less of labor time were available, would the decision variables values change? Yes No d-1. If 10 hours less of labor time were available, would the decision variables values change? Yes No d.2. Will the objective function value change, based on the change in d-1? Yes O No e. If the manager decided that as many as 20 units of product 2 could be produced instead of 16), how much additional profit would be generated? $0 $4 $16 O $72 be generated? $0 $4 $16 $72 f-1. If profit per unit on each product increased by $1, would the optimal values of the decision variables change? Yes O No -2. What would be the new value of the objective function? The objective function value z Next