An Amazon marketplace retailer is planning to rent one of the following threestorage spaces for next year's supply: Large, Medium, and Small size storages. Therequired size of the storage space depends on whether the demand for storage spacein the next year. The anticipated cost for storage spaces in different sizes and thecorresponding cost are as follows:Storage OptionsLarge StorageMedium StorageSmall Storageharge StorageSmall StorageHigh$310$350$380Medium StorageDemandMedium$300$250$200What is the best decision alternative (cost minimization) according to theConservative approach?Low$295$200$150Combination of Medium and Small Storage

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Answered: An Amazon marketplace retailer is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 87 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean μ = 87 tons and standard deviation σ = 0.6 ton. (a) What is the probability that one car chosen at random will have less than 86.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 37 cars chosen at random will have a mean load weight x of less than 86.5 tons of coal? (Round your answer to four decimal places.)(c) Suppose the weight of coal in one car was less than 86.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? YesNo Suppose the weight of coal in 37 cars selected at random had an average x of less than 86.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this deviation…
A pet food factory blends four ingredients into three types of pet food: value, premium, and basic. The maximum quantities available of each ingredient and the costs per ounce are given in the table below: Ingredient Maximum pounds available per day Cost per ounce 5,000 $0.5625 2 2,400 $0.4375 3 4,000 $0.7500 4 1,500 $0.3750 The operations manager has placed limits on the component to be added to each blend. The limits and the selling price for each blend are shown in the table below: Variant Component Specifications Selling Price per pound Value Not less than 40% of 1 $12.00 Value Not more than 20% of 2 $12.00 Value Not less than 30% of 3 $12.00 Premium Not less than 40% of 3 $18.00 Basic Not more than 50% of 2 $10.00 Basic Not less than 10% of 1 $10.00 The marketing manager wants to produce at least 3,000 pounds of each variant of pet food. Develop a linear programming model to help the company determine the best mix to produce to maximize profits. Determine the optimal solution and…
Find the total cost of the following shipment of materials: 23 floor boxes listed at $4.00 each, less 15% ; 150 half-inch conduits listed at $0.60 each, less 20% ; 125 convenience outlets listed at $0.79 each, less 10% ; 83 single-pole flush switches listed at $0.45 each, less 30%.
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.
Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. The company purchases natural gas from two companies: Southern Gas and Northwest Gas. Demand forecasts for the coming winter season are as follows: Hamilton County, 400 units; Butler County, 200 units; and Clermont County, 300 units. Contracts to provide the following quantities have been written: Southern Gas, 500 units; and Northwest Gas, 400 units. Distribution costs for the counties vary, depending upon the location of the suppliers. The distribution costs per unit (in thousands of dollars) are as follows:
Terra Mesa Manufacturing uses a job order cost system to account for its production of specialty patio furniture. At the beginning of June, Terra Mesa had one job in Work in Process, job A75. Management has chosen direct labor cost as its activity base. The costs incurred to date on job A75 are as follows: Direct materials $8260 Direct labor 10500 Overhead 13125 During June, Terra Mesa added the following costs for direct materials and direct labor to job A75: Direct materials $2630 Direct labor 4620 Job A75 was competed on June 30. What is the cost of job A75? $26010 $39135 $44910 $42831
A local firm is planning its workforce and production levels over the next year. The firm makes a variety of microprocessors and uses sales dollars as its aggregate production unit. Based on orders received and sales forecasts provided by the marketing department, the estimate of dollar sales for the next year by month is as follows: Month Production Days Predicted Demand(in $10,000) Month Production Days Predicted Demand(in $10,000) January 20 595 July 20 410 February 19 225 August 21 130 March 22 565 September 19 405 April 18 205 October 23 315 May 21 230 November 21 355 June 22 120 December 18 350 Inventory holding costs are based on a 25% annual interest charge. It is anticipated that there will be 675 workers on the payroll at the end of the current year and inventories will amount to $120,000. The firm would like to have at least $100,000 of inventory at the end of December…

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