a. Set up the equations that can be solved to maximize the profit per week. (Leave no cells blank - be certain to enter "0" wherever required.) Maximize = X1+ X2+ X3 s.t Milling Lathes Grinders Sales X1 X1 X1 X2 X2 X2 X2 X35 X35 X35 X3 X1, X2, X3 X1 b. Solve these equations using the Excel Solver. (Leave no cells blank.be certain to enter "0" wherever required. Round your answers to the nearest whole number.) Decision for X1 Decision for X2 Decision for 3 Total profit Resources Used Milling Lathos Grinders Sales Problem A-3 (Algo) A manufacturing firm has discontinued production of a certain unprofitable product line. Considerable excess production capacity was created as a result. Management is considering devoting this excess capacity to one or more of three products: X1. X2, and X3. Machine hours required per unit are MACHINE TYPE Milling machine Lathe Grinder PRODUCT X1 X2 X3 1156 1 1 2 2 4 1 The available time in machine hours per week is Milling machines Lathes Grinders MACHINE HOURS PER WEEK B60 630 290 The salespeople estimate they can sell all the units of X and X2 that can be made. But the sales potential of X3 is 110 units per week maximum Unit profits for the three products are UNIT PROFITS $ 7 8 X1 X2 X3 10 C. How much of each constraint or resource is unused? (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to the nearest whole number.) Hours Slack Variables S1 S2 S3 S4 d-1. Would the machines work at capacity? Milling machines Lathes Grinders d-2. Will X3 be at maximum sales capacity? Yes No e. Suppose that an additional 250 hours per week can be obtained from the milling machines by working overtime. The incremental cost would be $2.25 per hour. What would be the allowable increase (from the excel sensitivity report) in overtime when compared to additional hours that can be obtained? (Round "shadow price" to 2 decimal places and the rest to the nearest whole number.) The allowable Increase (from the Excel sensitivity report) in overtime is the additional hours that can be obtained