Workload Balancing

818 WordsApr 21, 20134 Pages
Workload Balancing Managerial Report Perform an analysis for Digital Imaging in order to determine how many units of each printer to produce. Prepare a report to DI’s president presenting your findings and recommendations. Include (but do not limit your discussion to) a consideration of the following: Printer | Variable | Profit | Line 1 Assembly (mins) | Line 2 Packaging (mins) | mins available per day | D1-910 | "X91" | $42 | 3 | 4 | 480 | D1-950 | "X95" | $87 | 6 | 2 | 480 | 1. The recommended number of units of each printer to produce to maximize the total contribution to profit for an 8-hour shift. What reasons might management have for not implementing your recommendation? To maximize profit with the time…show more content…
Profitability has decreased even further following this strategy. Decision Variables | | | | | | X91 | 98 | | | X95 | 31 | | | | | | | Objective Function | | | | | | max | (42*x91)+(87*x95) | 6813 | | | | | | | Constraints | | | | | Line 1 Time | 3*x91+6*x95 | <= | 480 | 480 | Line 2 Time | 4*x91+2*x95 | <= | 480 | 454 | Balance Line Times | (3*x91+6*x95)-(4*x91+2*x95) | <= | 30 | 26 | 5. Suppose that in part (1) management specified the objective of maximizing the total number of printers produced each shift rather than total profit contribution. With this objective, how many units of each printer should be produced per shift? What effect does this objective have on total profit and workload balancing? If management should focus on quantity maximization, it should produce 106 D1-910 printers and 27 D1-950s. This strategy would create a maximum of 133 total units and would effectively balance the workload, but it wouldn’t maximize profitability. Decision Variables | | | | | | | X91 | 106 | | | | X95 | 27 | | | | | | | Objective Function | | | | | | max | X91+X95 | 133 | | | Profit = | (42*x91)+(87*x95) | 6801 | | Constraints | | | | | Line 1 Time | 3*x91+6*x95 | <= | 480 | 480 | Line 2 Time | 4*x91+2*x95 | <= | 480 | 478 | Graphical solutions for appropriate questions. (1) Max Point: X91=0,
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