c. Suppose that 2500, and 4000 minutes of overtime may be scheduled in departments B, and C, respectively. The cost per hour of overtime is $30 in department B, and $120 in department C. Formulate a linear programming model that can be used to determine the optimal production quanties if overtime is made available. (1. Solve the new model and determine the optimal production quanties of products. Give the values of the decision variables, slacks, and the value of the objective function