Question # 1: Supercomp Ltd produces two computer models PC1086 and PC1186. The matrix A shows the costper computer (in thousands of dollars) and B the production figures for the year 2010 (in multiples of 10,000 units.)Find a matrix C that shows the shareholders the cost per quarter (in millions of dollars) for raw material, labor, andmiscellaneous.Quarter1 2 3 4PC1086 РC11861.21.6Raw Components[3B =6 2 4 38 6 9PC1086A =0.30.4LaborPC11860.50.6MiscellaneousQuestion # 2: Dentists use various amalgams for silver fillings. The matrix shows the percentagesexpressed as decimals) of powdered alloys used in preparing three different amalgams. Suppose a dentisthas 5483 grams of silver, 2009 grams of tin, and 129 grams of copper. How much of each amalgam canbe made?Convert it into a system of linear equations and solve using Cramer's rule.PERCENT ALLOY BY WEIGHTAmalgamABSilver 0.70 0.72 0.73Tin 0.26 0.25 0.27Copper 0.04 0.03 0.00

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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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This exercise requires the use of technology.Four sectors of the U.S. economy are (1) livestock and livestock products, (2) other agricultural products, (3) forestry and fishery products, and (4) agricultural, forestry, and fishery services. Suppose that in 1977 the input-output table involving these four sectors was as follows (all figures are in millions of dollars).Determine how these four sectors would react to an increase in demand for livestock (Sector 1) of $1,000 million, how they would react to an increase in demand for other agricultural products (Sector 2) of $1,000 million, and so on. (Round your answers to two decimal places. Let the columns of the matrix be given in millions of dollars.) To 1 2 3 4 From 1 11,937 9 109 855 2 26,649 4,285 0 4,744 3 0 0 439 61 4 5,423 10,952 3,002 216 Total Output 97,795 120,594 14,642 47,473
Suppose we obtain data on prices of big-screen televisions and estimate the following model: In(Price) = 4.06 + 0.06 * Size +0.23 * Wide + 0.34 * Plasma + 0.21 * LCD+0.09 * Memory where the dependent variable has been transformed, Size is the screen size measured in inches, Wide is a dummy variable equal to one if the television is a widescreen, Plasma is a dummy variable equal to one if the television is a Plasma screen, LCD is equal to one if the television is an LCD screen, and Memory is a dummy variable equal to one if the television has any memory card slots. What is the estimated price of a 42" Widescreen Plasma television with 2 memory card slots? Select one: O a. 7.24 O b. 7.33 1525.38 O d. 1394.09 • e 1881.83 Clear my choice
Solve the following initial value problem for r as a function of t. d²r dt² Differential equation: Initial conditions: = 3e¹i - 2e¯¹j + 4e²tk r(0) = 7i+ 3j + 3k dr dt .... t 0 = - 4i + 6j
2
A company manufactures a product at its plants in A, B, and C, then ships the product to six customers in G, H, J, K, and L, The monthly capacity of plants A, B, and Care 7400, 7300, and 10000 units, respectively. The monthly demand from customers G, H, J, K, and Lare 3000, 500, 4600, 7500, and 8900 units, respectively. Use Excel Solver to find the optimal distribution plant that will give the lowest total monthly shipping cost if the shipping cost per unit (in dollars per unit) are as follows: - from A to G, H, J, K, and L are 4, 9, 20, 6, and 13 dollars per unit, respectively; from B to G, H, J, K, and L are 12, 7, 3, 10, and 6 dollars per unit, respectively; from C to G, H, J, K, and L are 7, 6, 12, 2, and 9 dollars per unit, respectively. - The optimal total shipping costs is dollars per month.
Question 28 A company manufactures two lines of bathtubs, called model A and model B. Every tub requires a certain amount of steel and zinc; the company has available a total of 25,000 pounds of steel and 6,000 pounds of zinc. Each model A bathtub requires a total of 125 pounds of steel and 20 pounds of zinc, and each yields a profit of $90. Each model B bathtub can be sold for a profit of $70; model B requires 100 pounds of steel and 30 pounds of zinc. Additionally, due to a space constraint the company can stock no more than 150 units of tub model A. Determine the binding constraint(s). Steel Space Steel and Zinc Zinc and Space Steel and Space to
Given 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=
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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