Suppose you are given the following linear programming model to maximize profit from a production plan, where x1 denotes the quantity of product 1 to make, etc. Max23x1+18x2+15x3 (profit) Subject to (Machine) 5x1+4x2+3x3160 minutes (Labor) 4x1+10x2+4x3200 hours (Materials) 2x1+2x2+4x3200 pounds (Product 2 max) x216 units (Non-negativity) x10,x20,x30 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 by the new optimal production plan? If 10 hours less of labor time were available, what would the overall total profit be at the new optimal production plan