A Company produces three models of VCRS Model 1, Model 2, and Model 3, at two facilities, A and B. The companyhas orders for at least 5000 of Model 1, at least 3200 of Model 2, and at least 3300 of Model 3. The weekly productioncapacity of each model at each facility and the cost per week to operate each facility are given in the table below. Forhow many weeks should each facility operate to minimize the cost of filling the orders?A500Model 1Model 2600Model 3300Cost Per Week($) 16,000B50020060019,000The minimum possible cost of filling the orders is $

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Answered: A Company produces three models of VCRS…

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. Labor-Hours per Ski Maximum Labor-Hours Available per Day 360 40 Department Fabricating Finishing Trick Ski 10 1 Slalom Ski 8 1 If the profit on a trick ski is $60 and the profit on a slalom ski is $40, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? The maximum profit is $ The maximum occurs when trick skis and slalom skis are produced.
A supplier for the automobile industry manufactures car and truck frames at two different plants. How many hours should each plant be scheduled to operate to exactly fill each of the orders in the right table? The production rates (in Frames per hour) for each plant are given in the left table. Plant A B Car Frames 2 3 Complete the table below. Number of hours for plant A Number of hours for plant B Truck Frames 4 7 1 Car frames Truck frames ... Orders 2 1 634 1454 3 Orders 2 751 1635 3 848 1846
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. From TMA Location I Location II To Pulsar Factories City A $7 City B $9 What is the minimum cost? $4 $11 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) =
need comprehensive and correct answers.This question is about optimization.
A company has $19,310 avallable per month for advertlsing. Newspaper ads cost $160 each and can't run more than 22 times per month. Radio ads cost $620 each and can't run more than 31 times per month at this price. Each newspaper ad reaches 6500 potential customers, and each radio ad reaches 7700 potential customers. The company wants to maximize the number of ad exposures to potential customers. Use n for number of Newspaper advertisements and r for number of Radio advertisements. Maximize P = subject to 22 < 31 < $19, 310 Enter the solution below. If needed, round ads to 1 decimal palace and group exposure to the
There are three factories located at AR, IN, and TX respectively. From these locations, a certain commodity is to be delivered to each of the two warehouses situated at A and B. The revenue per commodity item is $10. The weekly demand of the warehouse A and B are respectively 50 and 35 units of the commodity while the production capacity of the factories at AR, IN, and TX are respectively 28, 22, and 35 units. The cost of transportation per unit is given as belows. Cost Warehouse A Warehouse B AR 5 3 IN 6 6 TX 2 4 To maintain a good relationship with all the factories, warehouse B requires that it receives at least 40% of its product from factory in TX. Realize that it is making good profit in warehouse A, AR requires that at least 35% of its product shipped to warehouse A. Formulate (without solving) a linear programming problem to maximize the profit.
From the data given compute the sales price for each product T and O. From the data given compute variable cost per unit for each product T and O. Letter Co. produces and sells two products, T and O. It manufactures these products in separate factories and markets them through different channels. They have no shared costs. This year, the company sold 50,000 units of each product. Sales and costs for each product follow.
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TMA manufactures 37-in. high-definition LCD televisions in two separate locations: Location I and Location II. The output at Location I is at most 6500 televisions/month, whereas the output at Location II is at most 5000 televisions/month. TMA is the main supplier of televisions to Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 2600 and 4100 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 $7 $4 Location II $8 $8 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, C (in dollars), to a minimum. Minimize C =…
G.97.
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.
A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine Il per month are 7,760 and 10,080. The time requirements and profit per unit for each product are listed below. ABC Machine I 7 9 10 Machine II 8 10 16 $12 $16 $22 Profit How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P = subject to: <7,760 s 10,080 Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ when the company produces: units of product A units of product B units of product c

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