Busi. 410 HW 1

# Busi. 410 HW 1 - S1 S2 S3 S4 Min 400 270 400 65 Cost 14560...

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Unformatted text preview: S1 S2 S3 S4 Min. 400 270 400 65 Cost 14560 Subject to: 20 Demand 1 280 >= 20 10 Demand 2 400 >= 10 20 Demand 3 380 >= 10 20 5 Demand 4 420 >= Actual value 14 12 13 8 Solution 1. The goal is t o minimize t he t otal cost of hir ing. 2. Decision var iables: let S1=the student s hired in week 1, let S2=st udents hired in week 2, let S3=students hired in week 3, and let S4=student s hired in week 4 3. Min. \$400(S1) + \$270(S2) + \$400(S3) + \$65(S4) 4. Const raint s:-Demand in Week 1: 20(S1) >= 280-Demand in Week 2: 20(S1) + 10(S2) >= 400-Demand in Week 3: 10(S2) + 20(S3) >= 380-Demand in Week 4: 10(S2) + 20(S3) + 5(S4) >= 420 280 400 380 420 Total needed Microsoft Excel 12.0 Answer Report Worksheet: [Busi. 410 HW 1.xls]1 Report Created: 9/12/2010 11:35:49 PM Target Cell (Min) Cell Name Original Value Final Value \$N\$2 Cost 1135 14560 Adjustable Cells Cell Name Original Value Final Value \$I\$9 S1 1 14 \$J\$9 S2 1 12 \$K\$9 S3 1 13 \$L\$9 S4 1 8 Constraints Cell Name Cell Value Formula Status Slack \$N\$4 Demand 1 280 \$N\$4>=\$P\$4 Binding \$N\$5 Demand 2 400 \$N\$5>=\$P\$5 Binding \$N\$6 Demand 3 380 \$N\$6>=\$P\$6 Binding \$N\$7 Demand 4 420 \$N\$7>=\$P\$7 Binding H B C Max. 0.3 0.5 0.4 Profit 764 Subject to: 0.4 0.6 0.5 Assembly minutes 960 <= 1 Minimum H 980 >= 1 Minimum B 780 >= 1 Minimum C 200 >= 1 1 1 Total sandwiches needed 1960 >= 1-1-1 Increased demand for H 0 >= Actual used 980 780 200 Solution 1. The goal is t o maximize profit s from sandwich product ion. 2. Decision var iables: let H =ham and cheese, let B=bologna, and let C=chicken salad 3. Max. \$.3(H ) + \$.5(B) + \$.4(C) 4. Const raint s:-Assembly minut es: .4(H ) + .6(B) + .5(C) <= 960-Minimum H: H >= 200-Minimum B: B>= 200-Minimum C: C >= 200-I ncreased demand for H: H-B-C >= 0-Total sandwiches needed: H + B + C >= 1500 960 200 200 200 1500 Total available Microsoft Excel 12.0 Answer Report Worksheet: [Busi. 410 HW 1.xls]Problem 2 Report Created: 9/13/2010 12:00:13 AM Target Cell (Max) Cell Name Original Value Final Value \$M\$2 Profit 1.2 764 Adjustable Cells Cell Name Original Value Final Value \$I\$11 H 1 980 \$J\$11 B 1 780 \$K\$11 C 1 200 Constraints Cell Name Cell Value Formula Status Slack \$M\$4 Assembly minutes 960 \$M\$4<=\$O\$4 Binding \$M\$5 Minimum H 980 \$M\$5>=\$O\$5 Not Binding 780 \$M\$6 Minimum B 780 \$M\$6>=\$O\$6 Not Binding 580 \$M\$7 Minimum C 200 \$M\$7>=\$O\$7 Binding \$M\$8 Total sandwiches needed...
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## This note was uploaded on 06/07/2011 for the course BUSI 410 taught by Professor Massa during the Fall '09 term at UNC.

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Busi. 410 HW 1 - S1 S2 S3 S4 Min 400 270 400 65 Cost 14560...

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