a. Formulate a linear programming model to determine how GSI should schedule production for the new order so that the total production cost is minimized.b. Solve the model that you developed in part (a).c. Suppose that some of the previous orders at the Tampa plant could be rescheduled so as to free up additional capacity for the new order. Would this option be worthwhile? Explain.d. Suppose that the cost to produce a stiff shaft in Tampa had been incorrectly computed and that the correct cost is $5.30 per shaft. What effect if any would the correct cost have on the optimal solution developed in part (b)? What effect would it have on total productioncost?