Practical Management Science
5th Edition
ISBN: 9781305250901
Author: Wayne L. Winston, S. Christian Albright
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 5, Problem 68P
Summary Introduction
To determine: The way to minimize the sum of purchasing and shipping cost.
Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Determine how many products to ship from each factory to each warehouse, or from each factory to
each warehouse and direct to each end customer, to minimize shipping cost while meeting warehouse
demands and not exceeding factory supplies
Explain the above scenario using the problem given below:
Warehouse
Capucity
Factory
w,
W,
W.
(Supply)
21
16
25
13
F.
F,
17
18
14
23
13
32
27
18
41
19
Requirement 6
(Demand)
10
12
15
43
Use least cost Method to solve the problem.
Using Transportation method
Give typed full explanation
The Awesome Skis Company has manufacturing plants in Portland, Oregon and Toronto, Ontario. You have been given the job of coordinating distribution of the latest model, the Superslide, to outlets in Lake Tahoe and Whistler. The Portland plant, when operating at full capacity, can manufacture 620 pairs Superslide skis per week, while the Toronto plant, beset by labor disputes, can produce only 410 pair of skis per week. The outlet in Lake Tahoe orders at least 500 pairs Superslide skis per week, while Whistler orders at least 530 pairs of skis per week.
Transportation costs are as follows:
Portland to Lake Tahoe: $10 per pair of skis; Portland to Whistler: $5 per pair of skis.
Toronto to Lake Tahoe: $20per pair of skis; Toronto to Whistler: $10 per pair of skis.
(a) You want to ship as many skis as you can filling all the orders and yet, you want to minimize your costs. If so, how many skis should be shipped from each manufacturing plant to each…
Chapter 5 Solutions
Practical Management Science
Ch. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 5PCh. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 8PCh. 5.2 - Prob. 9PCh. 5.3 - Prob. 10P
Ch. 5.3 - Prob. 11PCh. 5.3 - Prob. 12PCh. 5.3 - Prob. 13PCh. 5.3 - Prob. 14PCh. 5.3 - Prob. 15PCh. 5.3 - Prob. 16PCh. 5.3 - Prob. 17PCh. 5.3 - Prob. 18PCh. 5.4 - Prob. 19PCh. 5.4 - Prob. 20PCh. 5.4 - Prob. 21PCh. 5.4 - Prob. 22PCh. 5.4 - Prob. 23PCh. 5.4 - Prob. 24PCh. 5.4 - Prob. 25PCh. 5.4 - Prob. 26PCh. 5.4 - Prob. 27PCh. 5.4 - Prob. 28PCh. 5.4 - Prob. 29PCh. 5.5 - Prob. 30PCh. 5.5 - Prob. 31PCh. 5.5 - Prob. 32PCh. 5.5 - Prob. 33PCh. 5.5 - Prob. 34PCh. 5.5 - Prob. 35PCh. 5.5 - Prob. 36PCh. 5.5 - Prob. 37PCh. 5.5 - Prob. 38PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - Prob. 72PCh. 5 - Prob. 73PCh. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77PCh. 5 - Prob. 80PCh. 5 - Prob. 81PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - Prob. 85PCh. 5 - Prob. 86PCh. 5 - Prob. 87PCh. 5 - Prob. 2C
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- Elyssa's Elegant Eveningwear (EEE) needs to ship finished goods from its manufacturing facility to its distribution warehouse. Annual demand for EEE is 2400 gowns. EEE can ship the gowns via regular parcel service (3 days transit time), premium parcel service (1 day transit time), or via public carrier (7 days transit time). Calculate the average annual transportation inventory for each alternative.arrow_forwardGiven the following information set up the problem in a transportation table and solve for the minimum-cost plan: Demand Capacity Regular Overtime Subcontract Beginning inventory Costs Regular time Overtime Subcontract Inventory carrying cost Back-order cost PERIOD 1 2 3 550 700 750 500 500 500 50 50 50 120 120 100 100 $60 per unit $80 per unit $90 per unit $1 per unit per month. $3 per unit per month Answer is complete but not entirely correct. $ Minimum total cost 126,650arrow_forwardGive examples of the term "Carrying Capacity" and how it's used.arrow_forward
- Your regular trucking company that you use to move LTL freight from Winnipeg to Duluth, Minnesota, 1s suddenly on strike. You call other trucking companies but cannot get space What could you have done to avoid this situation? 1. Regularly use more than one carrier to create a bank of possible carriers to handle your business 2. Always book space with your truckers in advance 3. Use a pool car operator and hope they have next-day service to Duluth 4. Nothing can be donearrow_forwardAcadia Logistics anticipates that it will need more distribution center space to accommodate what it believes will be a significant increase in demand for its final-mile services. Acadia could either lease public warehouse space to cover all levels of demand or construct its own distribution center to meet a specified level of demand, and then use public warehousing to cover the rest. The yearly cost of building and operating its own facility, including the amortized cost of construction, is $15.00 per square foot. The yearly cost of leasing public warehouse space is $24.50 per square foot. E Click the icon to view the expected demand requirements. a. The expected value of leasing public warehouse space as required by demand is S (Enter your response as a whole number.) More Info Requirements (in sq. ft) Probability 230,000 430,000 630,000 830,000 0.35 0.4 0.2 0.05 Print Donearrow_forwardes Problem 11-4 (LO2) An appliance manufacturer has a plant near Toronto that receives small electric motors from a manufacturer located in Winnipeg. The demand for motors is 118,000 units per year. The cost of each motor is $125. The motors are purchased in lots of 3.400 units. The ownership of motors transfers to the appliance manufacturer in Winnipeg. The question is which mode of transportation, truck or train, the appliance manufacturer should use to bring the motors from Winnipeg to Toronto. The railroad company charges $3 per motor. and it takes approximately seven days by train. The trucking company charges $5 per motor, but it takes only three days. The appliance manufacturer will keep 1,400 units as safety stock if a truck is used and 2.500 units as safety stock if a train is used for transportation. Assume 365 days per year. If the holding cost rate is 25 percent of unit cost per year, which mode of transportation will minimize total transportation and in-transit and safety…arrow_forward
- Ram Roy’s firm has developed the following supply, demand, cost, and inventory data. Allocate production capacity to meet demand at a minimum cost using the transportation method. What is the cost? Assume that the initial inventory has no holding cost in the first period and backorders are not permitted. Initial Inventory 20 Units Regular Time cost per unit $100 Overtime cost per unit $160 Sub contract cost per unit $250 Carrying cost per unit per month $6 Supply Table Period Regular Time Overtime Subcontract Demand Forecast 1 30 15 5 40 2 30 15 5 45 3 40 15 5 55arrow_forwardEvaluate an alternative that involves consolidating all 20-foot container volumes and using only a single consolidation center in Shanghai/Ningbo. Assume that all the existing 20-foot container volumes and the existing consolidation center volumes are sent to this single consolidation center by suppliers. This new consolidation center volume would be packed into 40-foot containers, filled to 96 percent, and shipped to the United States. The existing 40-foot volume would still be shipped direc t from the suppliers at 85 percent capacity utilization.arrow_forwardConsider the transportation problem having the following parameter table: Source Demand 12 2 Destination 1 8 6 3 2 54 3 Supply 4 2 (a) Use the northwest corner rule to obtain an initial BF solution, and then solve this problem manually by the transportation simplex method. (Keep track of your time.) (b) Reformulate this problem as a general linear programming problem, and then solve it manually by the simplex method. Keep track of how long this takes you, and contrast it with the computation time for part (a).arrow_forward
- 13.2 A company manufactures component parts for machine tools in North America and ships them to Southeast Asia for assembly and sale in the local market. The components are shipped by sea, transit time averages 6 weeks, and the shipping costs $2700 per shipment. The company is considering moving the parts by air at an estimated cost of $7500; the shipment taking 2 days to get there. If inventory in transit for the shipment costs $125 per day, should they ship by air?arrow_forwardPeaches are to be transported from three orchard regions to two canneries. Intermediate stops at a consolidation station are possible. Orchard Supply Station Cannery Capacity Riverside 1200 Waterford Sanderson 2500 Sunny Slope 1500 Northside Millville 3000 Old Farm 4000 Shipment costs are shown in the table below. Where no cost is given, shipments are not possible. Where costs are shown, shipments are possible in either direction. R SS OF W N S M Riverside 5 Sunny Side 4 5 Old Farm 6 3 Waterford 2 4 Northside 5 9 Sanderson Millville Solve the network model for this problem, indicating how much product should move across each route. use spreadsheet as your…arrow_forwardRam Roy's firm has developed the following supply, demand, cost, and inventory data. Allocate production capacity to meet demand at a minimum cost using the transportation method. What is the cost? Assume that the initial inventory has no holding cost in the first period and backorders are not permitted. supply available period initial inventory regular-time cost per unit Overtime cost per unit subcointract cost per unit carrying cost per unit per month 1 2 3 Regular Tim overtime subcontrac demand forecast 30 35 30 15 $ LA LA LA L $ $ $ 90.00 110.00 120.00 3.00 15 10 10 5 5 5 50 50 40arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,