Here is a 4 by 4 assignment problem.73 22 25 1068 59 88 1414 50 21 2667 30 46 17The problem is to meet the demand for minimal cost.Matrix after fixing each row:Matrix after fixing each column:|Continue to the optimal solution andfill in your value for minimum cost:rMatrix after covering rows 1, 3 and column 4 and performing Hungarian step:

Hungarian Method Hungarian method is an optimization technique to solve assignment problems.…

Answered: Here is a 4 by 4 assignment problem. 73…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Variable cells Cell Name $B$6 $C$6 $D$6 $E$2 Activity 1 Constraints $E$3 Activity 2 Cell Name $E$4 Activity 3 Resource A Resource B Resource C Final Reduced Value Cost 3 6 0 0 0 -7 30 6 18 0 Objective Allowable Allowable Coefficient Increase Decrease 30 20 7.78 20 O the shadow price is not valid. 40 20 O the shadow price is valid. Final Shadow Constraint Allowable Allowable Value Price R.H. Side Increase Decrease 30 O the original solution remains optimal. 40 23 50 7 10 50 17 10 1E+30 the problem must be resolved to find the optimal solution. 12.5 10 1E+30 22
Labors Hours Required (Hours/Unit) Department Product 1 Product 2 Hours Available Overtime Available Overtime Cost A 1 0.35 100 10 18 B 0.3 0.2 36 6 22.5 C 0.2 0.5 50 8 12 Profit Contribution/Unit 30 15 X1 X2 Production Constraints Used Available Dept A Hours Dept B Hours Dept C Hours Dept A Overtime (XA) Dept B Overtime (XB) Dept C Overtime (XC) Objective: Profit Suppose that 10, 6, and 8 hours of overtime may be scheduled in departments A, B, and C, respectively. The cost per hour of overtime is $18 in department A, $22.50 in department B, and $12 in department C. What are the optimal production quantities using the avallable overtime? What is the…
2. Maximize subject to p = x + 2y X +3y24 2x + y 18 x ≥ 0, y ≥ 0.
Use the Wagner–Whitin and Silver–Meal methods to find production schedules for the following dynamic lot-size problem: K $30, h $1, d1 40, d2 60, d3 10, d4 70, d5 20.
Exercises - Management Accounting Concepts and Techniques for Decision Making 16. The Call Company has an available 120 pieces of material M1 and 80 meters of material M2 to produce its products A and B: Product A Product B Unit Contribution Margin Required Materials: Material M1 P 3 P 4 2 pieces 4 meters 5 pieces 2 meters Material M2 REQUIRED: a. Objective function - involving maximization of the company's contribution margin. b. Non-negativity constraint for the decision variables с. Constraint function for Material M1 d. Constraint function for Material M2 e. Optimal product mix
Jody of Jody’s Custom Tailoring is considering expanding her growing business. The question is whether to expand with a bigger facility than she needs or with a small facility, knowing that she will have to reconsider expanding in three years. Jody has estimated the following chances for demand: The likelihood of demand being high is 0.50. The likelihood of demand being low is 0.50. She has also estimated profits for each alternative: Large expansion has an estimated profitability of either $200,000 or $100,000, depending on whether demand turns out to be high or low. Small expansion has a profitability of $80,000, assuming that demand is low. Small expansion with an occurrence of high demand would require considering whether to expand further. If the business expands at that point, the profitability is expected to be $120,000. If it does not expand further, the profitability is expected to be $70,000. Draw a decision tree and solve it. What should Jody’s Custom Tailoring do?
Problem 21-9 (Algo) Semans is a manufacturer that produces bracket assemblies. Demand for bracket assemblies (X) is 131 units. The following is the BOM in indented form: ITEM X A B C DESCRIPTION Bracket assembly wall board Hanger subassembly D Hanger casting E Ceramic knob Rivet head screw F Metal tong G Plastic cap Item Inventory X 23 A 18 B5 Below is a table indicating current inventory levels: 55 USAGE 1 C 25 4 2 2 1 5 2 D 200 170 1,100 G 90
The Ace Manufacturing Company has orders for three similar products. Product Min A s.t. B C 1 Machine 2 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. 3 A A B Product B с 4 2 3 Machine 1 Capacity Machine 2 Capacity Machine 3 Capacity Product A Orders Product B Orders Orders (units) Product C Orders 2,100 ≥ 0 for all i, j. 700 1,200 Capacity (units) 1,400 1,400 1,400 1 Use the transportation model to develop the minimum cost production schedule for the products and machines. (a) Show the linear programming formulation. (Let XA1 be the number of units of product A produced by machine 1, X;; be the number of units of product i produced by machine j, etc.) Xij Machine 2 $1.00 $1.30…
As the production planner for Xiangling Hu Products, Inc., you have been given a bill of material for a bracket that is made up of a base, 2 springs, and 4 clamps. The base is assembled from 2 clamps and 1 housing. Each clamp has 1handle and 1 casting. Each housing has 2 bearings and 2 shafts. There is no inventory on hand. Part 3 b) Determine the gross quantities needed of each item if you are to assemble 150 brackets. Base: enter your response here units (enter your response as a whole number). Spring: enter your response here units (enter your response as a whole number). Clamp: enter your response here units (enter your response as a whole number). Housing: enter your response here units (enter your response as a whole number). Handle: enter your response here units (enter your response as a whole number). Casting: enter your response here units (enter your response as a whole number). Bearing: enter…
The demand for subassembly Sis 100 units in week 7.Each unit ofS requires 1 unit ofT and 2 units ofU. Each unit ofT requires I unit ofY, 2 units ofW, and 1 unit of X. Finally, eachunit of U requires 2 units of Y and 3 units of Z. One firm manufacturesall items. It takes 2 weeks to make S, 1 week to make T, 2 weeks to make U, 2 weeks to make Y, 3 weeks to make W,I week to make X, 2 weeks to make Y, and I week to make Z.a) Construct a product structure. Identify all levels, parents, and components.b) Prepare a time-phased product structure.
PROBLEM-2 XYZ Company manufactures a number of products. One important product is Q. which consists of two internally manufactured items Rand S as in the figure below: R (1 Piece) ITEM Q R S Item Q is assembled in an assembly station, A 10; Item R is in work center WC 30, and item S is manufactured in work center WC 70. Operation data for product Q and items R and S are shown in the table: ITEM Q Week Gross Requirements Lot size Lot for lot 50 150 1 40 Q Work Center 2 80 A 10 WC 30 WC 70 3 40 S (3 Pieces) 4 30 Setup time (Hrs) 0 3.0 2.0 5 40 6 30 Runtime per piece Lead Time (weeks) (Hrs) 1.7 1.0 1.0 1 1 1 1 Determine "capacity requirements planning" stated for product Q in the work centers A 10, WC 30, and W 70 for the next weeks on the basis of material requirements planning carried out.
Fen Furnishingsproduces brass handles for the furniture industry in a four-stage process–Mixing,Moulding, Polishingand Packaging. Costs incurred in thePolishingDepartment during January are summarized as follows: January 1 Bal.Transfer from Moulding 20000 units $1,310,000 Direct Materials Added $391,600 Direct Labour $ 638,000 Manufacturing Overhead $307,400 Normal losses are estimated to be 2½% of input during theperiod. Inspection takes place duringthe processing operation, at which point damagedhandles are separated from good handles and sold as scrapto local furniture manufacturers at $85each. At inspection, 2,000 handleswere rejected as scrap. These units had reached the following degree of completion: Transfer from Moulding 100% Direct material added 40% Conversion costs 20%…

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