Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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- ABC Corporation is considering three options for managing its data processing operation: continuing with its own staff, hiring an outside vendor to do the management (referred to as outsourcing), or using a combination of its own staff and an outside vendor. The profit of the operations depends on future demand. The annual profit of each option (in thousands of dollars) and for each state of demand is summarized in the following table: Staffing Options Own Staff Outside Vendor Combination High 650 900 800 Demand Medium 650 600 650 Low 600 300 400 1. If the manager of ABC Corporation is optimistic, which staffing option will he/she choose? 2. If the manager of ABC Corporation is conservative, which staffing option will he/she choose? 3. Suppose the probabilities of high, medium, and low demand are 40%, 10% and 50%, respectively. Using the expected value approach, which staffing option should the manager choose? 4. What is the expected value of perfect information?arrow_forwardA simplified version of input-output analysis of a national economy has the following input-output matrix: Agriculture Manufacturing Households 0.245 0.051 0.099 0.279 0.433 0.011 A. Agriculture Manufacturing Households 0.102 0.291 0.372 units of Manufacturing are need to produce one unit of Households B. Given Demand (in billions of dollars) for the three sectors are as follows 32.6 = Manufacturing, 3.5-Agriculture 31.8-Households Find the amount of each commodity that should be produced (nearest 0.1 billion) = Agriculture - Manufacturing Households C. If the external demand of Households raises by $1 billion then manufacturing production needs to increase by $ billion (nearest 0.01) in order to meet that increase in household external demandarrow_forwardFind the demand matrix for the following input-output and production matrices using the open model. 13 14 A = 0.4 0.4 0.3 0.5 X= The demand matrix is (Type an integer or decimal for each matrix element.)arrow_forward
- The input-output matrix for a simplified economy with just three sectors (natural resources, manufacturing, and trade and services) is given below. Natural Resources Manufacturing Trade and Services Natural Resources 0.1045 0.0427 0.0029 Manufacturing 0.0826 0.1087 0.0585 Trade and Services 0.0867 0.1019 0.2031 Suppose the demand (in millions of dollars) matrix is the matrix D, shown below. Find the amount each sector should produce. 451 D= 299 125 Production levels of units from natural resources, units from manufacturing, and units from trade and services are needed. (Round to the nearest whole number as needed.)arrow_forwardGiven the following input-output matrix A and corresponding demand matrix E for a local economy, find the production matrix X, where X=[x1 x2]. Write the exact answer. Do not round. x1= x2=arrow_forwardA simplified version of input output analysis of a national economy has the following input output matrixarrow_forward
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