General Ford produces cars in Los Angeles and Detroit and has a warehouse inAtlanta. The company supplies cars to customers in Houston and Tampa. Thecosts of shipping a car between various points are listed as the table below.where a blank means that a shipment is not allowed. Los Angeles can produce upto 1600 cars, and Detroit can produce up to 3200 cars. Houston must receive1800 cars, and Tampa must receive 2900 cars.1. Determine how to minimize the cost of meeting demands in Houston andTampa.2. Modify the answer to part a if no shipments through Atlanta are allowed.FromLADetroitAtlantaHoustonTampaToLA Detroit$97$94$87$129$147$100$103$145Atlanta Houston$95$125$103$110$95$88$60$103Tampa$156$148$56$100

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. Department Fabricating Finishing Labor-Hours per Ski The maximum profit is S Trick Ski 9 1 Slalom Ski 6 1 Maximum Labor-Hours Available per Day 297 36 If the profit on a trick ski is $30 and the profit on a slalom ski is $60, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? The maximum occurs when trick skis and slalom skis are produced.
Dr. Gurzick owns a computer store and is looking to determine an optimal amount of inventory. He sells laptops, pcs, and tablets. each laptop uses 1 processor, 1 hard drive, 3 sticks of ram, and 1 power supply. they sell for 300. each pc uses 2 processor, 2 hard drive, 3 sticks of ram, and 1 power supply. they sell for 500. each tablet uses 1 processor, 0 hard drives, 2 sticks of ram, and 1 power supply. they sell for 200. on hand I have 500 processors, 300 hard drives, 1000 sticks of ram, and 500 power supplies. Develop a linear programming model for this problem indicating what inventory should be selected to maximize profit by using excel.
A supplier ships goods from Richmond, VA to three market places in 3 cities (Chicago, IL; Athens, GA; St. Luis, MO). The supplier can ship every day, every other day, or every third day. There is a penalty of $0.30/cwt for each day delayed. Consolidating shipments allows for lower transportation costs from larger loads, but incurs penalty costs due to the delay. Transportation Rate (S/cwt) Shipment City Weight/day LTL 50,000 lb 50000 lb Chicago, IL 18,000 lb (180 cwt) 1.50 1.25 Athens, GA 15,000 lb (150 cwt) 1.35 1.00 St. Luis, MO 12,000 lb (120 cwt) 2.00 1.50 Total 45,000 Ib = 450 cwt Find what is the cost for the following: Shipping Every Day Shipping on the alternate Day (every two days) Shipping every three Day
11. A small country exports soybeans and flowers. Soybeans require 8 workers per acre, flowers require 12 workers per acre and 100,000 workers are available. Government contracts require that there be at least 3 times as many acres of soybeans as flowers planted. It costs $250 per acre to plant soybeans and $300 per acre to plant flowers, and there is a budget of $3 million. If the profit from soybeans is $1,800 per acre and the profit from flowers is $2,000 per acre, how many acres of each crop should be planted to maximize profit? Then find the maximum profit.
16. A city bus system carries 4000 passengers a day throughout a large city. The cost to ride the bus is $1.50 per person. The owner realizes that 100 fewer people would ride the bus for each $0.25 increase in fare, and 100 more people would ride for each $0.25 decrease in fare. If the capacity of the bu s system is 5000 passengers, what should the bus system charge to produce the largest possible revenue?
A supplier ships goods from Richmond, VA to three market places in 3 cities (Chicago, IL; Athens, GA; St. Luis, MO). The supplier can ship every day, every other day, or every third day. There is a penalty of $0.30/cwt for each day delayed. Consolidating shipments allows for lower transportation costs from larger loads, but incurs penalty costs due to the delay. Transportation Rate (S/cwt) Shipment City Weight/day LTL 50,000 lb 50000 lb Chicago, IL 18,000 lb (180 cwt) 1.50 1.25 Athens, GA 15,000 lb (150 cwt) 1.35 1.00 St. Luis, MO 12,000 lb (120 cwt) 2.00 1.50 Total 45,000 Ib = 450 cwt Find what is the cost for the following: Shipping Every Day Shipping on the alternate Day (every two days) Shipping every three Day
A retailer anticipates selling 1,300 units of its product at a uniform rate over the next year. Each time the retailer places an order for a units, it is charged a flat fee of $25. Carrying costs are $26 per unit per year. How many times should the retailer reorder each year and what should be the lot size to minimize inventory costs? What is the minimum inventory cost? They should order units The minimum inventory cost is $ times a year.
The new city water company that you have researched charges homeowners based on how much water they use in thousands of gallons. The company progressively charges at a higher rate the more water that is used. Cost of Water Bill (dollars) 240 230 220 210 190 180 170 160 110 Water Usage (in thousands of gallons) 11. Based on the graph above, how much does the city charge when a homeowner uses the following number of gallons of water: a) 1700 gallons of water b) 2000 gallons of water c) 7000 gallons of water 12. Finish filling in the following piece-wise equation below that describes the chart based on the graph 50 if 0 < x <2 5x+50 y = if 6≤x≤8 30x 140
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