Answered: a. A = A 0,3 -(0,3 B 0,4 0,5 0,3. 76 -…

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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Question 2 The imports of a company were as follows: Price per unit (in Pula) Number of units Product 2012 2022 2012 2022 A 5.00 12.00 2500 2800 B 6.50 14.50 5000 4950 C 10.00 16.00 3500 4300 Use 2012 as base year to calculate: The price index of Laspeyeres. The price index of Paasche. The quantity index of Laspeyeres. The quantity index of Paasche. Hence find the Fishers Price and Fishers Quantity Indexes.
An economy is based on three sectors-agriculture, manufacturing, and services. For each unit of output, agriculture requires inputs of 0.30 unit from agriculture, 0.30 unit from manufacturing, and 0.30 unit from services. For each unit of output, manufacturing requires inputs of 0.30 unit from agriculture, 0.20 unit from manufacturing, and 0.20 unit from services. For each unit of output, services requires 0.20 unit from agriculture, 0.30 unit from manufacturing, and 0.30 unit from services. Determine the production levels needed to satisfy a final demand of 0 units for agriculture, 50 units for manufacturing, and 0 units for services. The production level needed from the agricultural sector is units. (Do not round until the final answer. Then round to two decimal places as needed.)
Two departments of a firm, A and B, need differing amounts of steel, wood, and plastic. The table on the right gives the amount of each product the departments need. These three products are supplied by two suppliers, Company C and Company D, with the unit prices given in the table on the right. a. Use matrix multiplication to determine how much these orders will cost each department at each of the two suppliers. Enter the amounts into the cost matrix shown on the right. Department A Department B Steel Wood Plastic Dept. A Dept. B Company C 600 310 310 Co. C Steel Wood Plastic 60 40 40 60 70 60 Company D 560 190 390 Co. D
Example 12.8. A firm uses milling machines, grinding machines and lathes to pro- duce two motor parts. The machining times required for each part, the machining times avail- able on different machines and the profit on each motor part are given below : Machining time reqd. for the motor part Max. time available per Type of machine (mts) week (minutes) I II 10 2,000 Milling machines Grinding machines Lathes. 2 900 12 3,000 Profit/ unit (Rs.) 100 40 Determine the number of parts I and II to be manufactured per week to maximize the profit. د ه
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…
Two departments of a firm, A and B, need differing amounts of steel, wood, and plastic. The table on the right gives the amount of each product the departments need. These three products are supplied by two suppliers, Company C and Company D, with the unit prices given in the table on the right. C a. Use matrix multiplication to determine how much these orders will cost each department at each of the two suppliers. Enter the amounts into the cost matrix shown on the right. Dept. A Dept. B Department A Department B Steel Wood Plastic Co. C Company C 580 280 280 Co. D Company D — 570 180 380 Steel 70 60 Wood 60 40 Plastic 40 60
An entrepreneur who owns and operates two businesses (A and B) would like to analyze their profitability. They would like your help in the analysis. They give you the annual net profit (in thousands of $) for each business from 2008-2020. Table 1: Annual Net Profits for Businesses A and B Business Year Profit Business Year Profit 2008 -50 2008 -10 2009 57 2009 30 2010 71 2010 27 2011 64 2011 22 2012 60 2012 21 2013 50 2013 20 A 2014 41 2014 24 2015 59 2015 24 2016 71 2016 32 2017 71 2017 36 2018 74 2018 37 019 81 20 40 2020 97 2020 49 a. Suppose you want to graph the distribution of profits. Explain why using only one stem- plot might not be optimal for the analysis. b. Describe the correct stemplot to use. Generate this stemplot. Explain your steps. What can you say about the distribution from this stemplot? c. When are stemplots useful? And why is that? d. Suppose that instead of having 26 observations you have 200 observations. What graph should you generate? e. What other type of…

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a. A = A 0,3 -(0,3 B 0,4 0,5 0,3. 76 - (19) 12 D =