b) The hard rock concrete company has plants in three locations and is currently working on thefour major construction projects, each located at different site. The shipping cost pertruckload of concrete, daily plant capacities, and the daily project requirements are providedin the table below:LocationABCProjectrequirementProject Ai.128140Project B411220Project C96450Project D56720Plantcapacities554530Formulate an initial feasible solution to hard rock transportation problem using VAMmethodii. Solve for the least cost of shipment using MODI method

The cost matrix is given below:Project AProject BProject CProject DPlant CapacityLocation…

Answered: b) The hard rock concrete company has…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.3: Assignment Models

Problem 14P

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summanzed below: WAREHOUSE FACTORY F1 9 12 7 18 6 8 13 9 21 20 7 10 11 12 7 F3 14 15 22 Factory output and warehouse supplies that must be maintained are as follows: Eachory Mnits produced/day Warehouse Daily Supply #1 35 1 15 #2 25 2. 12 #3 40 3. 22 24 32 4. 30 5. 20 Determine; a. The best possible factory-to-warehouse shipping program using Vogel's Approximation Method. b. What is the cost of this shipping program?
Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 –7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 What is the optimal objective function value for this problem?
Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 –7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 If the right-hand side of Resource B changes to 10, then the objective function value: Multiple Choice will decrease by $120. will decrease by $60. will decrease by $20. will remain the same. can only be discovered by resolving the problem.
Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 –7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 What is the allowable range for the right-hand-side for Resource C? Multiple Choice 18 ≤ RHSc ≤ ∞ ∞ ≤ RHSc ≤ 62 −2 ≤RHSc ≤ ∞ − ∞ ≤ RHSc ≤ 40 0 ≤ RHSc ≤ 22
Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 –7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 If the right-hand side of Resource A changes to 10, then the objective function value: Multiple Choice will decrease by $12.50. will decrease by $125. will decrease by $77.80. will remain the same. can only be discovered by resolving the problem.
Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 –7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 What is the allowable range for the right-hand-side for Resource C?
Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 –7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 Which parameter is most sensitive to an increase in its value?
2) A company is considering a plan to produce or buy/outsource a certain item used in the production of new type of cars. Making the item would involve annual lease costs of $150,000. Cost and volume estimates are as follows: Make Buy Annual fixed cost $150,000 None Variable cost/unit $60 $80 Annual volume 12,000 12,000 (units) a. Given these numbers, should the firm buy or make this item? b. There is a possibility that volume could change in the future. At what volume would the company be indifferent between making and buying?
Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 0 425 500 1E+30 425 $C$6 Activity 2 27.5 0.0 300 500 300 $D$6 Activity 3 0 250 400 1E+30 250 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Benefit A 110 0 60 50 1E+30 $E$3 Benefit B 110 75 110 1E+30 46 $E$4 Benefit C 137.5 0 80 57.5 1E+30 If the coefficient for Activity 1 in the objective function changes to $50, then the objective function value: Multiple Choice will decrease by $450. is $0. will decrease by $2750. will remain the same. can only be discovered by resolving the problem.
Production and sales estimates for March for Robin Co. are as follows: Estimated inventory (units), March 1 18,000 Desired inventory (units), March 31 21,600 Expected sales volume (units): Territory M 7,000 Territory L 8,000 Territory O 9,000 Unit sales price P15 The number of units expected to be manufactured in March is _______________________________________________ Show solution.
Jerusalem Medical Ltd., an Israeli producer of port-able kidney dialysis units and other medical products, develops a 4-month aggregate plan. Demand and capacity (in units) areforecast as follows:CAPACITYSOURCE MONTH 1 MONTH 2 MONTH 3 MONTH 4LaborRegular time 235 255 290 300Overtime 20 24 26 24Subcontract 12 15 15 17Demand 255 294 321 301The cost of producing each dialysis unit is $985 on regular time, $1,310 on overtime, and $1,500 on a subcontract. Inventory car-rying cost is $100 per unit per month. There is to be no beginning or ending inventory in stock and backorders are not permitted. Set up a production plan that minimizes cost using the transpor-tation method.
Nikos Anastopoulos of EMPROSS Strategic IT Consultants, leads the development of a new football stadium. He developed the activities, durations, and predecessor relationships in the following table for delivering company valuations. Activity A B C D E F G H 1 J K L ES ID EF ¤¯¯ SL SL LS Time LF Predecessor A, B C E F E D D, G, I 1 Duration in Weeks 5 3 8 3 4 10 8 18 20 7 5 10 6A. Draw the Network Diagram, and identify and discuss the project duration and the critical path using the following activity notation

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