Answer questions 45 based on the following information: A small firm makes three products, which all follow the same three-step (milling, inspection, and drilling) process. Product A requires 6 minutes of milling, 5 minutes of inspection, and 4 minutes of drilling; product B requires 2.5 minutes of milling, 2 minutes of inspection, and 2 minutes of drilling; and product C requires 5 minutes of milling, 4 minutes of inspection, and 8 minutes of drilling. The firm has 20 hours available during the next period (next week) for milling, 15 hours for inspection, and 24 hours for drilling. Product A contributes $6.00 per unit to profit, product B contributes $4.00 per unit, and product C contributes $10.00 per unit. 1 hour has 60 minutes. The firm needs to determine the quantities of products A, B, and C to maximize the total profit. Below is the Linear Programming formulation of the problem. x1=numberofproductA,x2=numberofproductB,x3=numberofproductC.Max6x1+4x2+10x3 Subject to: 6x1+2.5x2+5x312005x1+2x2+4x39004x1+2x2+8x31440x1,x2,x30MillingInspectionDrilling Below is the sensitivity report when solving the above problem using excel. Below is the sensitivity report when solving the above problem using excel. The unit profit of product C increases from $10 to $15. Will the optimal solution (the optimal quantities of Product A, Product B, and Product Cl change? The change is outside the range of optimality and, thus, recalculation is needed. No. The current solution wil remain optimal