Given this linear programming model, solve the model and then answer the questions that follow. 12x + 18x7+ 15x3 where x - the quantity of product 1 to make etc. Maximize Subject to 551 Machine Labor Materials Product 2 4x 2x + 4x2 + 3xa s 160 minutes + 10x2 + 4x s 288 hours + 2x2 + 4x s 200 pounds x2 16 units *1. 2. 32 0 a-1. Are any constraints binding? Yes O No a-2. If so, which one(s)? Machine and materials O Machine and labor O Materials O Labor O None b-1. If the profit on product 3 changed to $22 a unit, would the decision variables' values change? a Yes No 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 O 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 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 O $16 O $72 f-1. If profit per unit on each product increased by $1, would the optimal values of the decision variables change? O Yes O No f-2. What would be the new value of the objective function? The objective function value Z