GBC has 3 plants and 5 warehouses. Baked goods shipped from plants to warehouses in containers...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
GBC has 3 plants and 5 warehouses. Baked goods shipped from plants to warehouses in containers that consists of a standard assortment of GBC's baked goods. The # of containers available for shipment this week are: 180 - Pittsburgh; 280-Memphis; 150- Omaha This week's demand (# of containers): 120-Newark; 100 - Chicago; 160-Atlanta; 80- Dallas; 150 - LA Shipping costs per container are given in the table below Plants Shipping costs (hundred $) Pittsburgh Memphis Omaha Plants SUPPLY PRISUS 100 Mer 200 Newark Chicago Orista 150 10 13 6 9 Warehouses DEMAND Hart 120 Chicage 100 Dee 80 Warehouses Atlanta 5 Min 8 The following model has been developed to determine the minimum cost shipping plan 3 Dallas 12 Subject to: 5 150 Plant Warehouse LA 19 14 10 Chicago 180 O 150 Dallas Merophis 200 4 X11 + 6x12 +5X13 + 12 X14 + 19 X15+ 10 X21 +4X22 +8X23+ 5X24 +14 X25 + 13 X31 +9 X32 +3 X33+ 6X34 +10 X35 Pittsburgh 182 Adana 1 Supply Node S1: X11+ X12 + X13+ X14 + X15 = 180 Node S2: X21 + X22 + X23+ X24 + X25 = 280 Node S3: X31+X32 + X33+X34+X35 = 150 Consider the following 3 scenarios and specify how the LP model changes (refer both to the network structure/graph and the LP) Demand Node D1: X11+ X21 + X31 = 120 Node D2: X12 + X22+X32 = 100 Node D3: X13+ X23 + X33 = 160 Node D4: X14 + X24+X34 = 80 Node DS: X15+X25+X35 = 150 Non-Negativity: Xij 20 for 1-1,2,3 and j-1,2,3,4,5 Newark 120 B. What modifications would you make to the LP in (A) if the unit production costs varied by plant as shown in the following table (note that in this case total costs include shipping costs, production costs and storage costs): Min 4 X11 + + 10 X21 + + 13 X31 + Subject to: Supply Plants SUPPLY Plant 1: Pittsburgh 2: Memphis 3: Omaha 6 X12 + 4 X22 + 9 X32+ Pittsburgh 180 Memphis 280 Omaha 150 5 X13 + 8 X23 + 3 X33 + Production cost per unit $0.90 $0.75 $0.80 Demand Node D1: X11 + X21 + X31 = 120 Node D2: X12 + X22 + X32 = 100 Node D3: X13 + X23 + X33 = 160 Node D4: X14 + X24 + X34 = 80 Node D5: X15+X25+X35 = 150 12 X14 + 5 X24 + 6 X34 + Node S1: X11 + X12 + X13+ X14 + X15 Node S2: X21 + X22 + X23+ X24 + X25 Node S3: X31 + X32+ X33+ X34 + X35 19 X15 + 14 X25+ 10 X35 = 180 = 280 = 150 Non-Negativity: Xij≥0 for i-1,2,3 and j=1,2,3,4,5 Newark 120 Chicago 100 Atlanta 160 Dallas 80 LA 150 Warehouses DEMAND GBC has 3 plants and 5 warehouses. Baked goods shipped from plants to warehouses in containers that consists of a standard assortment of GBC's baked goods. The # of containers available for shipment this week are: 180 - Pittsburgh; 280-Memphis; 150- Omaha This week's demand (# of containers): 120-Newark; 100 - Chicago; 160-Atlanta; 80- Dallas; 150 - LA Shipping costs per container are given in the table below Plants Shipping costs (hundred $) Pittsburgh Memphis Omaha Plants SUPPLY PRISUS 100 Mer 200 Newark Chicago Orista 150 10 13 6 9 Warehouses DEMAND Hart 120 Chicage 100 Dee 80 Warehouses Atlanta 5 Min 8 The following model has been developed to determine the minimum cost shipping plan 3 Dallas 12 Subject to: 5 150 Plant Warehouse LA 19 14 10 Chicago 180 O 150 Dallas Merophis 200 4 X11 + 6x12 +5X13 + 12 X14 + 19 X15+ 10 X21 +4X22 +8X23+ 5X24 +14 X25 + 13 X31 +9 X32 +3 X33+ 6X34 +10 X35 Pittsburgh 182 Adana 1 Supply Node S1: X11+ X12 + X13+ X14 + X15 = 180 Node S2: X21 + X22 + X23+ X24 + X25 = 280 Node S3: X31+X32 + X33+X34+X35 = 150 Consider the following 3 scenarios and specify how the LP model changes (refer both to the network structure/graph and the LP) Demand Node D1: X11+ X21 + X31 = 120 Node D2: X12 + X22+X32 = 100 Node D3: X13+ X23 + X33 = 160 Node D4: X14 + X24+X34 = 80 Node DS: X15+X25+X35 = 150 Non-Negativity: Xij 20 for 1-1,2,3 and j-1,2,3,4,5 Newark 120 B. What modifications would you make to the LP in (A) if the unit production costs varied by plant as shown in the following table (note that in this case total costs include shipping costs, production costs and storage costs): Min 4 X11 + + 10 X21 + + 13 X31 + Subject to: Supply Plants SUPPLY Plant 1: Pittsburgh 2: Memphis 3: Omaha 6 X12 + 4 X22 + 9 X32+ Pittsburgh 180 Memphis 280 Omaha 150 5 X13 + 8 X23 + 3 X33 + Production cost per unit $0.90 $0.75 $0.80 Demand Node D1: X11 + X21 + X31 = 120 Node D2: X12 + X22 + X32 = 100 Node D3: X13 + X23 + X33 = 160 Node D4: X14 + X24 + X34 = 80 Node D5: X15+X25+X35 = 150 12 X14 + 5 X24 + 6 X34 + Node S1: X11 + X12 + X13+ X14 + X15 Node S2: X21 + X22 + X23+ X24 + X25 Node S3: X31 + X32+ X33+ X34 + X35 19 X15 + 14 X25+ 10 X35 = 180 = 280 = 150 Non-Negativity: Xij≥0 for i-1,2,3 and j=1,2,3,4,5 Newark 120 Chicago 100 Atlanta 160 Dallas 80 LA 150 Warehouses DEMAND
Expert Answer:
Related Book For 
Operations Management Sustainability And Supply Chain Management
ISBN: 9780135173626
13th Edition
Authors: Jay Heizer, Barry Render, Chuck Munson
Posted Date:
Students also viewed these general management questions
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
I want to get the Microsoft Project Plan make it in the Microsoft project for the following : Project Scope The Project Scope includes remodeling a Pet Grooming salon spanning seven hundred square...
-
Rowe Inc. has been in operations for approximately 5 years. It is a private company, so the company prepares financial statements once a year. The company has no plans in the near future to go...
-
Brennan Physiotherapies had a beta of 0.85. Reasonable estimates for the RF and the required rate of return on the market, R(Rm) were 7% and 15%, respectively. What is the required rate of return on...
-
On March 1, 2016, Rock Canyon Golf Course issued $750,000 of 10-year, 9 percent bonds payable. The bonds were sold for $765,000. The bonds pay interest each August 31 and February 28, and any...
-
Chorus Aviation Inc. is a Canadian aviation holding company that provides, through Jazz Aviation LP, a "significant part of Air Canada's domestic and transborder network." Chorus indicates in Note 1...
-
On the Internet, find sites describing examples of the bill-and-hold technique.
-
The Pacific Manufacturing Company operates a job-order costing system and applies overhead cost to jobs on the basis of direct labor cost. In computing an overhead rate for the year, the companys...
-
Question 1 (4 Marks) Richard must decide how to allocate the capital in his portfolio. Richard has $58,000 available to invest. He finds the rates of return for four stocks for the past 12 years and...
-
Sadie Cuono started her own consulting firm, Cuono Consulting, on May 1, 2020. The trial balance at May 31 is as follows. In addition to those accounts listed on the trial balance, the chart of...
-
Free Cash Flow In the current year, Huion Ltd. invested 25,000 in working capital and 55,000 as capital expenditure. It had depreciation expenses of 9800. The net operating profit is 3,44,430. Based...
-
Mary Smith has just reported for duty and is reviewing the patients she will have during the evening shift. One of them, Ida Monroe, is on isolation for an infectious disease. Dr. Jerome comes into...
-
Suppose you have a Cellular loT system with the following parameters: An eNB with EIRP power of 42 dBm. The receiver is an loT device with effective bandwidth of BW= 180 kHz and requires a minimum...
-
Your task for this part of the case is to conduct a comprehensive financial analysis of Royal Caribbean Cruises and to compare their performance with Carnival Cruises. Excerpts from Royal Caribbean's...
-
A non-dividend-paying stock is currently traded at $50 and the one-month simple risk-free interest rate is 1%. Based on the Black-Scholes-Merton model, a one-month European call on this stock with...
-
On January 1, 2024, the Excel Delivery Company purchased a delivery van for $33,300. At the end of its five-year service life, it is estimated that the van will be worth $3,000. During the five-year...
-
The purchase of equipment financed by a longminusterm notes payable is an example of a(n) ________. Question content area bottom Part 1 A. financing activity B. nonminuscash investing and financing...
-
a) Show that (a, b) := {{a}, {b}} does not satisfy the ordered pair axiom. b) Determine whether each of the following statements is true or false. (Give a reason in each case): (i) {a, b} C (a, b)....
-
Draw a process chart for the activities of a receptionist handling the check-in process at a hotel.
-
What are three ways in which Lean and quality are related?
-
Union Furniture is a famous furniture store in Dubai. The company orders one of its bedroom models from Malaysia. The yearly demand for the bedroom is 200 units. The selling price is AED 5,000 per...
-
A Rowland has the following purchases for the month of June 19X9: Required: (a) Enter up the purchases journal for the month. (b) Post the items to the suppliers accounts. (c) Transfer the total to...
-
C Phillips, a sole trader, has the following purchases and sales for March 19X9: Required: (a) Prepare the purchases and sales journals of C Phillips from the above. (b) Post the items to the...
-
A Henriques has the following purchases and sales for May 19X6: Required: (a) Write up sales and purchases journals. (b) Post the items to the personal accounts. (c) Post the totals of the journals...
Study smarter with the SolutionInn App