Practical Management Science
5th Edition
ISBN: 9781305734845
Author: WINSTON
Publisher: Cengage
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
thumb_up100%
Chapter 5, Problem 57P
Summary Introduction
To determine: The way to minimize the cost of meeting all demands.
Introduction: In linear programming, the 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
Trending nowThis is a popular solution!
Students have asked these similar questions
Green Vehicle Inc. manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/40 of a day and 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/50 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $300 and $220, respectively, per vehicle sold.
a) Define the objective function and constraint equations.
b) Graph the feasible region.
c) What is a maximum-profit daily production plan at the new factory?
d) How much profit will such a plan yield, assuming whatever is produced is sold?
green vehicule Inc. manufactures electric cars and small delivery trucks. it has just opened a new factory where the C1 car and the T1 truck can both be manufactured. to make either vehicle, processing in the assembly shop and the paint shop are required. It takes 1/40 of a day and 1/60 of a paint a truck of type T1 and a car of type C1 in the paint shop, respectively. it takes 1/50 of a day to assemble either type of vehicule in the assembly shop. A t1 truck and a C1 car yield profits of $300 and $220, respectively, per vehicule sold
Please see attached file.
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
- Create spreadsheets and use Solver to determine the correct volumes to be produced to minimize cost for the following problem. Your company has two trucks that it wishes to use on a specific contract. One is a new truck the company is making payments on, and one is an old truck that is fully paid for. The new truck’s costs per mile are as follows: 54₵ (fuel/additives), 24₵ (truck payments), 36₵ (driver), 12₵ (repairs), and 1₵ (misc.). The old truck’s costs are 60₵ (fuel/additives), 0₵ (truck payments), 32₵ (rookie driver), 24₵ (repairs), and 1₵ (misc.). The company knows that truck breakdowns lose customers, so it has capped estimated repair costs at $14,000. The total distance involved is 90,000 miles (to be divided between the two trucks).arrow_forwardA plant is being built to manufacture two product families A and B. The facility must produce 100,000 units of each family per year. Three technologies are available. Technology one costs $125,000 per system per year, and a system can produce 50,000 units of product A, or 25,000 units of product B. Technology two costs $65000 per year and can produce 45,000 of either product per year. A third technology exists that can only produce product B. The system could produce all 100,000 units for a cost of $180,000 per year. A. Find a good heuristic solution to the problem by first relaxing the integer restriction on purchasing processes and then rounding up the resultant acquisition variables. B. Other than expected cost, what factors should be considered?arrow_forwardthec Technologies Corporation (RTC) manufactures two radar models to monitor the speed of missiles. Deluxe model has an accuracy of plus or minus 2 km per hour, whereas standard model has an accuracy of plus or minus 3 km per hour. For the next week, the company has orders for 160 units of deluxe model and 240 units of standard model. Although RTC purchases all the electronic components used in both models, the plastic cases for both models are manufactured at a RTC plant in Chicago. Each deluxe model case requires 4 minutes of injection-molding time and 6 minutes of assembly time. Each standard model case requires 3 minutes of injection-molding time and 8 minutes of assembly time. For next week the Chicago plant has 960 minutes of injection-molding time available and 1728 minutes of assembly time available. The manufacturing cost is $10 per case for deluxe model and $6 per case for standard model. Depending upon demand and the time available at the C plant, RTC occasionally purchases…arrow_forward
- Heller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of equipment, capacity, and so on. The Dayton plant has weekly costs that can be expressed as a function of the number of gloves produced TCD(X) = x2 - X + 3 where X is the weekly production volume in thousands of units and TCD(X) is the cost in thousands of dollars. The Hamilton plant's weekly production costs are given by TCH(Y) = y2 + 2Y + 2 where Y is the weekly production volume in thousands of units and TCH(Y) is the cost in thousands of dollars. Heller Manufacturing would like to produce 5,000 gloves per week at the lowest possible cost. (a) Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility. min s.t. = 5 X, Y 2 0 (b) Use Excel Solver or LINGO to find the solution to your mathematical model to determine the optimal…arrow_forwardHeller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of equipment, capacity, and so on. The Dayton plant has weekly costs that can be expressed as a function of the number of gloves produced TCD(X) = x² - X + 9 where X is the weekly production volume in thousands of units and TCD(X) is the cost in thousands of dollars. The Hamilton plant's weekly production costs are given by TCH(Y) = y² + 2Y + 6 where Y is the weekly production volume in thousands of units and TCH(Y) is the cost in thousands of dollars. Heller Manufacturing would like to produce 9,000 gloves per week at the lowest possible cost. (a) Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility. X²-X+9+²+2Y+6 min s.t. X+Y X, Y 20 = 9 (b) Use Excel Solver or LINGO to find the solution to your mathematical model to…arrow_forwardA company has one machine which can be used to make product Alpha and product Beta. Each unit of product Alpha requires 45 minutes of machine time, while each unit of product Beta requires 37 minutes of machine time. The machine can be used for 8 hours per day and 5 days per week. Next week the company will produce 23 units of product Alpha. After completing the production of Alpha, the company will produce product Beta. How many units of product Beta can be produced next week? Use at least 4 decimals.You must showm your calculation steps and brief explanation on your Excel spreadsheets.arrow_forward
- A farm consists of 600 acres of land, of which 500 acres will be planted with corn, soybeans, and wheat, according to these conditions: At least half of the planted acreage should be in corn No more than 200 acres should be soybeans The ratio of corn to wheat planted should be 2:1 It costs $20 an acre to plant corn, $15 an acre to plant soybeans, and $12 an acre to plant wheat Formulate this problem as an LP model that will minimize planting cost while achieving the specified conditions.arrow_forwardA library must build shelving to shelve 200 4-inch highbooks, 100 8-inch high books, and 80 12-inch high books. 8.3 Maximum-Flow Problems 419Each book is 0.5 inch thick. The library has several ways tostore the books. For example, an 8-inch high shelf may bebuilt to store all books of height less than or equal to 8inches, and a 12-inch high shelf may be built for the 12-inchbooks. Alternatively, a 12-inch high shelf might be built tostore all books. The library believes it costs $2,300 to builda shelf and that a cost of $5 per square inch is incurred forbook storage. (Assume that the area required to store a bookis given by height of storage area times book’s thickness.)Formulate and solve a shortest-path problem that couldbe used to help the library determine how to shelve thebooks at minimum cost. (Hint: Have nodes 0, 4, 8, and 12,with cij being the total cost of shelving all books of height i and j on a single shelf.)arrow_forwardA firm makes tow products X and Y and has a total production capacity of 9 tonnes per day, X and Y requiring the same production capacity. The firm has a permanent contract to supply as least 2 tonnes of x and at least 3 tonnes of Y per day to another company. Each tonne of X requires 20 machine-hours production time and each tonne of Y requires 50 machine-hours production time. The daily maximum possible number of machine- hours is 360. All the firm's output can be sold, and the profit made is Rs. 80 per tonne of X and Rs. 120 per tonne of Y. It is required to determine the production schedule for maximum profit and to calculate this profit. Use graphical method to get your solution.arrow_forward
- Which of the following statements concerning the transshipment problem is false? There can be constraints on the number of units shipped into a destination point. O Any units shipped from one origin point must all go to the same destination point. O The transshipment problem can be solved with linear programming. O There can be constraints on the number of units shipped out of an origin point.arrow_forwardCan some help me solve this problem, it is kinda confusing. Thank youarrow_forwardFive to six times a year, Kicker puts on tent sales in various cities throughout Oklahoma and the surrounding states. The tent sales are designed to show Kicker customers new products, engender enthusiasm about those products, and sell soon to be out-of-date products at greatly reduced prices. Each tent sale lasts one day and requires parking lot space to set up the Kicker semitrailer; a couple of show cars; a disc jockey playing music; a tent to sell Kicker merchandise, distribute brochures, and so on. Last year, the Austin, TX tent sale was held in a corner of the parking lot outside the city exhibition hall where the automotive show was in progress. Because most customers were interested more in the new model cars than in the refurbishment of their current cars, foot traffic was low. In addition, customers did not want to carry speakers and amplifiers all the way back to where they had originally parked. Total direct costs for this tent sale were $14,300. Direct costs…arrow_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,