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The Doan Modianos Manufacturing Company is putting out seven new electronic components. Each of Modianos eight plants has the capacity to add one more product to its current line of electronic parts. The unit manufacturing costs for producing the different parts at the eight plants are shown in the accompanying table How should Modianos assign the new products to the plants in order to minimize manufacturing costs? Plants Electronic Components C53 C81 D5 D44 E2 E35 G99 4 $0.10 $0.12 $0.13 $0.11 $0.10 $0.06 $0.16 $0.12 $0.05 $0.06 $0.04 $0.08 $0.04 $0.09 $0.06 $0.06 S0.32 $0.40 $0.31 $0.30 $0.42 S0.35 $0.36 $0.49 $0.17 $0.14 $0.19 $0.15 $0.10 $0.16 $0.19 $0.12 $0.06 $0.07 $0.10 $0.05 $0.08 $0.10 $0.11$0.05 $0.08 $0.10 $0.12 $0.08 $0.09 $0.10 $0.09 $0.06 $0.55 $0.62 $0.61 $0.70 $0.62 $0.63 $0.65 $0.59Determine the optimal assignments. Electronic Components C53 C81 D5 D44 E2 E35 G99 Plant

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Answer #1

Totals SUM(C3:J3) SUM(C4.J4) SUM(C5:J5) SUM(C6:16) SUM(C7:J7) SUM(C8 :J8) SUM(C919) C53 C81 D5 4 E35 G99 10 Totals SUM(C3:C9) SUMD3D9 SUM E3 E9) SUM(F3 F9) SUM(G3:G9) SUMH3 H9) SUM(I3I9) SUM(J3:J9) 12 13 14 15 16 17 E2 18 E35 19 20 21| Total cost-sUMPRODUCT(C3:19,C13:J19) C53 C81 D5 0.12 0.06 0.4 0.14 0.07 0.13 0.04 0.31 0.19 0.16 0.06 0.36 0.19 0.11 0.09 0.65 0.12 0.06 0.49 0.12 0.05 0.06 0.59 0.11 0.08 0.06 0.09 0.35 0.16 0.05 0.32 0.17 0.06 0.08 0.55 0.04 0.42 0.15 0.05 0.08 0.7 0.08 0.09 0.62 0.12 0.61 G99 0.62 0.63

Solution

Total cost = $1.18

Assignments

C53 --> Plant 6
C81 --> Plant 3
D5 --> Plant 4
D44 --> Plant 5
E2 --> Plant 2
E35 --> Plant 8
G99 --> Plant 1

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