# (Solved Homework): Consider a process consisting of five resources that are operated eight hours per…

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Consider a process consisting of five resources that are operated eight hours per day. The process works on three different products, A, B, and C. Demand for the three different products is as follows: product A, 40 units per day: product B, 50 units per day: and product C, 60 units per day. a. What is the bottleneck? Resource 1 Resource 2 Resource 3 Resource 4 Resource 5 What is the flow rate for Flow A assuming that demand must be served in the mix described above (i.e., for every four units of A, there are five units of B and six units of C)? units per day c. What is the flow rate for Flow B assuming that demand must be served in the mix described above (i.e., for every four units of A, there are five units of B and six units of C)? units per day d. What is the flow rate for Flow C assuming that demand must be served in the mix described above (i.e., for every four units of A, there are five units of B and six units of units per day C)? units per day

 Resource Number of workers Total minutes available Processing time for A (minutes) Processing time for B (minutes) Processing time for C (minutes) 1 2 960 5 5 5 2 2 960 4 4 5 3 1 480 15 0 0 4 1 480 0 3 3 5 2 960 6 6 4 Total 30 18 17 Demand per day 40 50 60 Resource Number of workers Time available (minutes ) time required to meet demand (minutes) Total time required (minutes) Difference – Available – Required time (minutes) Product A Product B Product C 1 2 960 200 250 300 750 210 2 2 960 160 200 300 660 300 3 1 480 600 0 0 600 -120 4 1 480 0 150 180 330 150 5 2 960 240 300 240 780 180 Total 1200 900 1020 time required per unit 30 18 17 b. Flow rate for A (number of units produced in the mix when 1 unit of A is produced) 1 0.6 0.57 c. Flow rate for B (number of units produced in the mix when 1 unit of B is produced) 0.6 1 0.94 d. Flow rate for C (number of units produced in the mix when 1 unit of C is produced) 0.57 0.94 1.00

a. Resource 3 is the bottleneck since the Required time is in excess of the available time, therefore, causing wait time for the subsequent process steps

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formula table

 Resource Number of workers Total minutes available Processing time for A (minutes) Processing time for B (minutes) Processing time for C (minutes) 1 2 =+B2*8*60 5 5 5 2 2 =+B3*8*60 4 4 5 3 1 =+B4*8*60 15 0 0 4 1 =+B5*8*60 0 3 3 5 2 =+B6*8*60 6 6 4 Total =SUM(D2:D6) =SUM(E2:E6) =SUM(F2:F6) Demand per day 40 50 60 Resource Number of workers Time available (minutes ) time required to meet demand (minutes) Total time required (minutes) Difference – Available – Required time (minutes) Product A Product B Product C 1 2 =+B13*8*60 =+\$D\$9*D2 =+\$E\$9*E2 =+\$F\$9*F2 =SUM(D13:F13) =+C13-G13 2 2 =+B14*8*60 =+\$D\$9*D3 =+\$E\$9*E3 =+\$F\$9*F3 =SUM(D14:F14) =+C14-G14 3 1 =+B15*8*60 =+\$D\$9*D4 =+\$E\$9*E4 =+\$F\$9*F4 =SUM(D15:F15) =+C15-G15 4 1 =+B16*8*60 =+\$D\$9*D5 =+\$E\$9*E5 =+\$F\$9*F5 =SUM(D16:F16) =+C16-G16 5 2 =+B17*8*60 =+\$D\$9*D6 =+\$E\$9*E6 =+\$F\$9*F6 =SUM(D17:F17) =+C17-G17 Total =SUM(D13:D17) =SUM(E13:E17) =SUM(F13:F17) time required per unit 30 18 17 b. Flow rate for A (number of units produced in the mix when 1 unit of A is produced) =D19/30 =+E19/D19 =+F19/D19 c. Flow rate for B (number of units produced in the mix when 1 unit of B is produced) =+E19/D19 =+E19/18 =+F19/E19 d. Flow rate for C (number of units produced in the mix when 1 unit of C is produced) =+F19/D19 =+F19/E19 =+F19/F19

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