Find the minimum cost.
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The Janie Gioffre Drapery Company makes three types of draperies at two different locations. At location I, it can make 10 pairs of deluxe drapes, 20 pairs of better drapes, and 13 pairs of standard drapes per day. At location II, it can make 20 pairs of deluxe, 50 pairs of better, and 6 pairs of standard per day. The company has orders for 3000 pairs of deluxe drapes, 6300 pairs of better drapes, and 1800 pairs of standard drapes. If the daily costs are $750 per day at location I and $900 per day at location II, how many days should Janie
location I | days | |
location II | days |
Find the minimum cost.
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- Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?TMA manufactures 37-in. high definition LCD televisions in two separate locations, Locations I and II. The output at Location I is at most 6000 televisions/month, whereas the output at Location II is at most 5000 televisions/month. TMA is the main supplier of televisions to the Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 3000 and 4000 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows. To Pulsar Factories From TMA City A City B Location I $5 $3 Location II $6 $9 TMA will ship x televisions from Location I to city A and y televisions from Location I to city B. Find a shipping schedule that meets the requirements of both companies while keeping costs to a minimum. (x, y) =…PT Ceria wants to assign its flagship manager to five offices located in five different countries that are currently experiencing problems. The five countries are Singapore, Japan, philippines, Hongkong and Vietnam. However, before being sent, each manager was tested on their estimated ability to resolve problems in each country, and as a result of these tests obtained data on the amount of time (days) each manager needed to resolve the issue in each country, which is described in the table below. Singapore Japan Philiphines Hongkong Vietnam Abi 18 26 16 18 11 Adi 15 21 8 20 13 Ali 46 18 9 15 17 Ami 12 15 10 8 14 Ani 16 20 13 9 46 Based on the data above, what assignment should the company make if the company intends to minimize the number of days it takes to resolve the problem in all five countries? Analyze your answers!
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- The director of Burtonsville Civil Defense Agency has been ordered to draw up a disaster plan for assigning casualties to hospitals in the event of a serious earthquake. For simplicity, we will assume that causalities will occur at two points in the city and will be transported to three hospitals. It is estimated that there will be 300 casualties at point A and 200 at point B. Travel times to hospitals 1, 2, and 3 are 25, 15, and 10 minutes, respectively; from point B they are 20, 5, and 15 minutes. Hospital capacities for emergency cases are 250, 150, and 150 patients. How should the victims be assigned to hospitals to minimize the total time lost in transporting them? Disaster Point Hospital Total Casualties 1 2 3 A 25 15 10 300 B 20 5 15 200 Maximum Capacity 250 150 150 Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You…Al, Barbara, Carol, and Dave have joined together to purchase two season tickets to the Giants’ home football games. Because there are eight home games, each person will get tickets to two games. Each person has ranked the games they prefer from 1 to 8, with 1 being most preferred and 8 least preferred, as follows: Determine the two games each person should get tickets for that will result in the groups’ greatest degree of satisfaction. Do you think the participants will think your allocation is fair?Federal Rent-a-Car is putting together a new fleet. It is considering package offers from three car manufacturers. Fred Motors is offering 5 small cars, 5 medium cars, and 10 large cars for $500,000. Admiral Motors is offering 5 small, 10 medium, and 5 large cars for $400,000. Chrysalis is offering 10 small, 5 medium, and 5 large cars for $300,000. Federal would like to buy at least 650 small cars, at least 500 medium cars, and at least 650 large cars. How many packages should it buy from each car maker to keep the total cost as small as possible? Fred Motors packages Admiral Motors packages Chrysalis packages What will be the total cost?$
- Show your step-by-step process using THE SPECIAL PURPOSE LINEAR PROGRAMMING: MODI TRANSPORTATION METHOD to solve this problem. XYZ Incorporated has received a contract to supply gravel to three new road projects located at three different locations. Project A needs 174 truckloads, Project B needs 204 truckloads, and Project C needs 143 truckloads. The company has three gravel warehouses located in three different places. Warehouse 1 has 158 truckloads available, warehouse 2 has 184, and warehouse 3 has 179. The cost of transportation from the warehouse to the projects are: from warehouse 1 to Projects A, B, C = Php 4, Php 8, Php 8 per truckload respectively. From warehouse 2 to Projects A, B, C = Php 16, Php 24, Php 16 per truckload respectively. From warehouse 3 to Projects A, B, C = Php 8, Php 16, Php 24 per truckload respectively. The objective is to design a plan of distribution that will Minimize the cost of transportation.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?Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (i.e., a machine-paced line flow). Each worker must perform at least one task. There exists unlimited demand unless stated otherwise. Time to Complete Task (seconds): Task 1: 30 Task 2: 25 Task 3: 15 Task 4: 20 Task 5: 15 Task 6: 20 Task 7: 50 Task 8: 15 Task 9: 20 Task 10: 25 Task 11: 15 Task 12: 20 The current conveyor-paced assembly-line configuration assigns the workers in the following way: • Worker 1: Tasks 1, 2, 3 • Worker 2: Tasks 4, 5, 6 • Worker 3: Tasks 7, 8, 9 • Worker 4: Tasks 10, 11, 12 What is the direct labor content (in seconds per unit)?