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
(a) Write a function of the form P (t) = Poet to model each population P (t) (in millions) / years after January 1, 2000. Round the value of k to five kt decimal places. Country Congo Turkey Population in 2000 (millions) 50 67.4 Population in 2010 (millions) 66 73.7 P (t) = Pekt P(1) = I 0 P (t) = e X S
2
Assume that an economy is based on two industrial sectors, agriculture (A) and energy (E). The technology matrix M and final demand matrices (in billions of dollars) are shown below. A E A 0.5 0.2 5 M = D= E 0.5 0.3 2 and the output for each sector, X, that is needed to satisfy the Find (IM) final demand, D. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (I-M)-1 = (Simplify your answer.) B. The matrix (I - M) is singular.
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
Consider a dynamical system given by Xn+1 = ,which one of the following is X11? X11 = X11 = X11 = X11 = [a(1.09)" b(0.91)" [a(0.91) b(1.09)". [a(0.91)¹1 b(1.09)11 [a(1.09)11- b(0.91)¹1 0.91 0 0 1.09 Xn. Assuming that Xo = a b
Question 6 of 16 Ali, the CEO of a manufacturing company, decided to expand the product offering of his business to include the manufacture of a specific model automotive unit. To include this product, his business would incur fixed costs of $365,000 per year and variable costs of $6 per unit. He plans to sell each unit for $88. a. Calculate the number of units he would have to manufacture to break even. Round up to the next whole number b. While manufacturing the unit, he realized that an additional fixed cost of $3,000 per year was required, and also realized that to be more competitive in the market he had to drop the selling price by 20%. What is the new break-even volume? Round up to the next whole number

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