RVW (Restored Volkswagens) buys 30 used VW's at each of two car auctions each week held at different locations. It then transports the cars to repair shops it contracts with. When they are restored to RVW's specifications, RVW sells 20 each to three different used car lots. There are various costs associated with the average purchase and transportation prices from each auction to each repair shop. Also there are transportation costs from the repair shops to the used car lots. RVW is concerned with minimizing its total cost given the costs in the table below. Repair Shops Used Car Lots S1 S2 L1 L2 L3 Auction 1 500 400 S1 350 400 600 Auction 2 550 350 S2 450 750 550

RVW (Restored Volkswagens) buys 30 used VW's at each of two car auctions each week held at different locations. It then transports the cars to repair shops it contracts with. When they are restored to RVW's specifications, RVW sells 20 each to three different used car lots. There are various costs associated with the average purchase and transportation prices from each auction to each repair shop. Also there are transportation costs from the repair shops to the used car lots. RVW is concerned with minimizing its total cost given the costs in the table below. Repair Shops Used Car Lots S1 S2 L1 L2 L3 Auction 1 500 400 S1 350 400 600 Auction 2 550 350 S2 450 750 550

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 76P

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Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100. The contract between Jean Hudson and Lemingtons works as follows. At the beginning of the season, Lemingtons reserves x units of capacity. Lemingtons must take delivery for at least 0.8x dresses and can, if desired, take delivery on up to x dresses. Each dress sells for 160 and Hudson charges 50 per dress. If Lemingtons does not take delivery on all x dresses, it owes Hudson a 5 penalty for each unit of reserved capacity that is unused. For example, if Lemingtons orders 450 dresses and demand is for 400 dresses, Lemingtons will receive 400 dresses and owe Jean 400(50) + 50(5). How many units of capacity should Lemingtons reserve to maximize its expected profit?
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RVW (Restored Volkswagens) buys 15 used VW's at each of two car auctions each week held at different locations. It then transports the cars to repair shops it contracts with. When they are restored to RVW's specifications, RVW sells 10 each to three different used car lots. There are various costs associated with the average purchase and transportation prices from each auction to each repair shop. Also, there are transportation costs from the repair shops to the used car lots. RVW is concerned with minimizing its total cost given the costs in the table below. Given the costs below, draw a network representation for this problem. Repair Shops Used Car Lots S1 S2 L1 L2 L3 Auction 1 550 500 S1 250 300 500 Auction 2 600 450 S2 350 650 450 Formulate this problem as a linear programming model. (Note: You do not need to solve the model.)
The Sav-Us Rental Car Agency has six lots in Nashville, and it wants to have a certain number of cars available at each lot at the beginning of each day for local rental. The agency would like a model it could quickly solve at the end of each day that would tell it how to redistribute the cars among the six lots in the minimum total time. The times required to travel between the six lots are as follows: To (min.) From 1 2 3 4 5 6 1 12 17 18 10 20 2 14 10 19 16 15 3 14 10 12 8 9 4 8 16 14 12 15 5 11 21 16 18 10 6 24 12 9 17 15 The agency would like the following number of cars at each lot at the end of the day. Also, shown is the number of available cars at each lot at the end of a particular day. Determine the optimal reallocation of rental cars. Lot (cars) Cars 1 2 3 4 5 6 Available 37 20 14 26 40 28…
University Square Apartments is a large apartment complex located close to the University. University Square Apartments are owned and managed by a local family, the Spencers. The Spencers have several rental properties in the area. University Square Apartments have several types of units, including four-bedroom, 3-bedroom, 2 bedroom, and one bedroom apartments. The most common unit is the two-bedroom, one-bathroom unit. You and Chris are both in your third year at the University. You met each other through mutual friends and share common interests in many areas. Approximately 4 months ago, you and Chris moved into unit 4C in University Square apartments. The two of you signed a one-year lease and moved into a 2-bedroom, one-bathroom apartment. The monthly rent, which you and Chris agreed to split each month, is $1050. In the past four months, you and Chris have experienced many problems. In the past week, the situation between you and Chris reached a boiling point. You normally send in…
RVW (Restored Volkswagens) buys 30 used VW's at each of two car auctions each week held at different locations. It then transports the cars to repair shops it contracts with. When they are restored to RVW's specifications, RVW sells 20 each to three different used car lots. There are various costs associated with the average purchase and transportation prices from each auction to each repair shop. Also there are transportation costs from the repair shops to the used car lots. RVW is concerned with minimizing its total cost given the costs in the table below. What should be shipped? Repair Shops Used Car Lots S1 S2 L1 L2 L3500 400 S1 350 400 600550 350 S2 450 750 550
RVW (Restored Volkswagens) buys 30 used VW's at each of two car auctions each week held at different locations. It then transports the cars to repair shops it contracts with. When they are restored to RVW's specifications, RVW sells 20 each to three different used car lots. There are various costs associated with the average purchase and transportation prices from each auction to each repair shop. Also there are transportation costs from the repair shops to the used car lots. RVW is concerned with minimizing its total cost given the costs in the table below. Repair Shops Used Car Lots S1 S2 L1 L2 L3500 400 S1 350 400 600550 350 S2 450 750 550
Universal Exports has four factories where it makes potato mashers. These are sent to each of four retail outlets. The cost (in thousand pesos) of shipping a case from each source to each destination is given below. Each of the factories can produce 100 units while the demand at A is 80 units, B is 70 units, C is 120 units, and D is 100 units. How many units must be transported from Factory 1 to retail outlet D?
BC Petrol manufactures three chemicals at its chemical plant in Kentucky: BCP1, BCP2, and BCP3. These chemicals are produced in two production processes known as zone and man. Running the zoning process for an hour costs $48 and yields three units of BCP1, one unit of BCP2, and one unit of BCP3. Running the man process for one hour costs $24 and yields one unit of BCP1 and one unit of BCP2. To meet customer demands, at least 20 units of BCP1, 10 units of BCP2, and 6 units of BCP3 must be produced daily. Assuming a linear relationship, use Excel Solver to determine the optimal mix of processes zone and man to minimize costs and meet BC Petrol's daily demands.