Question: Hi, question on how to solve problem #2 in case problem 1: WORKLOAD BALANCING from the book Quantitative Methods for Business , by David R.

Hi, question on how to solve problem #2 in case problem 1: WORKLOAD BALANCING from the book Quantitative Methods for Business, by David R. Anderson Edition: 12^th

# 2. Suppose that the management also states that the number of DI-910 printers produced must be at least as great as the number of DI-950 units produced. Assuming that the objective is to maximize the total contribution to profit for an 8 hour shift, how many units of each printer should be produced? (including linear programming model and graphical soultion)

Hi, question on how to solve problem #2 in case problem 1:

Case Problem 1 WORKLOAD BALANCING Digital Imaging (DD produces color printers for both the professional and consumer markets. The DI consumer division recently introduced two new color printers. The 10 model can produce a 4" x 6" borderless color print in approximately 37 seconds. The more sophisticated and faster DI-950 can even produce a 13" x 19" borderless color ial projections show profit contributions of $42 for each DI-910 and $87 for each DI-950 The printers are assembled, tested, and packaged at DI's plant located in New Bern, North Carolina. This plant is highly automated and uses two manufacturing lines to pro- duce the printers. Line 1 performs the assembly operation with times of 3 minutes per DI-910 printer and 6 minutes per DI-950 printer. Line 2 performs both the testing and packaging operations. Times are 4 minutes per DI-910 printer and 2 minutes per DI-950 printer. The shorter time for the DI-950 printer is a result of its faster print speed. Both manufacturing lines are in operation one 8-hour shift per day. 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 recom- mendations. Include (but do not limit your discussion to) a consideration of the following l. The recommended number of units of each printer to produce to maximize the total contribution to profit for an 8 shift. What reasons might management have for not implementing your recommendation? Suppose that management also states that the number of DI-910 printers produced must be at least as great as the number of DI-950 units produced. Assuming that the objective is to maximize the total contribution to profit for an 8-hour shift, how many units of each printer should be produced

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