BMCC is preparing a field trip for 400 students. The bus company has 10 buses of 50 seats each and 8 buses of 40 seats, but has only 9 drivers available. The rental cost for a large bus is $800 and $600 for a small bus. Calculate how many buses of each type should be used for the trip for the least possible cost Choose the corner point that satisfies the objective
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BMCC is preparing a field trip for 400 students. The bus company has 10 buses of 50 seats each and 8 buses of 40 seats, but has only 9 drivers available. The rental cost for a large bus is $800 and $600 for a small bus. Calculate how many buses of each type should be used for the trip for the least possible cost
- Choose the corner point that satisfies the objective
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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?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.The Toys-R-U Company has developed two new toys for possible inclusion in its product line for the upcoming Christmas season. Setting up the production facilities to begin production would cost $50,000 for toy1 and $80,000 for toy 2. Once these costs are covered, the toys would generate a unit profit of $10 for toy 1 and $15 for toy 2. The company has two factories that are capable of producing these toys. However, to avoid doubling the start-up costs, just one factory would be used, where the choice would be based on maximizing profit. For administrative reasons, the same factory would be used for both new toys if both are produced. Toy 1 can be produced at the rate of 50 per hour in factory 1 and 40 per hour in factory 2. Toy 2 can be produced at the rate of 40 per hour in factory 1 and 25 per hour in factory 2. Factory 1 and 2, respectively, have 500 hours and 700 hours of production time available before Christmas that could be used to produce these toys. It is not known…
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- 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?A company manufactures two products X1 and X2 on three machines A, B, and C. X1 require 1 hour on machine A and 1 hour on machine B and yields a revenue of Php 30. Product X2 requires 2 hours on machine A and 1 hour on machine B and 1 hour on machine C and yields revenue of PhP 50. In the coming planning period the available time of three machines A, B, and C are 2000 hours, 1500 hours and 600 hours respectively. Find the optimal product mix. Use MS Excel Solver.Instructions: Solve using Excel Solver. Create the linear programming model and get the optimal solution to the problem. (Follow the steps and format in the photo below) 1. A company manufactures two products X1 and X2 on three machines A, B, and C. X1 requires 1 hour on machine A and 1hour on machine B and yields a revenue of Php 30. Product X2 requires 2 hours on machine A and 1 hour on machine B and 1 hour on machine C and yields revenue of PhP 50. In the coming planning period the available time of three machines A, B, and C are 2000 hours, 1500 hours and 600 hours respectively. Find the optimal product mix.
- A company needs to locate three departments (I, II, and III) in the three areas (A, B, and C) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.40 per load per meter moved. An analyst has prepared the following distances and flow matrices: Distance (meters) Flows (loads per week) From/To A B C From/To I II III A - 30 40 I - 30 110 B - 60 II 90 - 70 C - III 70 60 - In what areas, A, B, and C, should departments I, II, and III be located that minimize the total cost of moving loads over…Sunseel Industries produces two types of raw materials, A and B, with a production cost of $4 and $8 per unit, respectively. The combined production of A and B must be at least 700 units per month. The factory is expected to produce at least 400 units of B and not more than 1200 units of A each month. The processing times for A and B are observed to be 5 hours and 4 hours, respectively. A total of 3000 production hours are available per month. Develop a linear program that Sunseel Industries can use to determine the number of units of each raw material to produce that will meet the demand and minimize the total cost.The Excel file President’s Inn Guest Database provides a list of customers, rooms they occupied, arrival and departure dates, number of occupants, and daily rate for a small bed-and-breakfast inn during one month. Room rates include breakfast and are the same for one or two guests; however, any additional guests must pay an extra $20 per person per day for breakfast. Parties staying for seven days or more receive a 10% discount on the room rate as well as any additional breakfast fees. Modify the spreadsheet to calculate the number of days that each party stayed at the inn and the total revenue for the length of stay.