The following matrix gives the number of vehicles sold inJanuary at a car dealership. Use the matrix to completeparts (a) through (c) below.Cars Trucks14 1622 12NewUsed(a) In February, the new car sales decreased by 4, but thenew truck sales increased by 25%. The used car salesincreased by 50% while the used truck sales increased by7. Write the vehicle sales matrix for February.(b) Write a matrix that represents the total vehicle salesover the two month period.(c) Write a matrix showing the change in sales fromJanuary to February.

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Answered: The following matrix gives the number…

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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A newspaper surveyed companies on the annual amount of money spent on television commercials and the estimated number of people who remember seeing those commercials each week. A soft-drink manufacturer spends $40.1 million a year and estimates 78.6 million people remember the commercials. For a package- delivery service, the budget is $22.9 million for 21.9 million people. A telecommunications company reaches 88.9 million people by spending a whopping $154.9 million. Which matrix below DOES NOT represent this situation? (All value in millions) 40.1 22.9 154.9 C = 78.6 21.9 88.9 21.9 22.9] C = 78.6 40.1 59°F Cloudy 一一

The input-output matrix for a simplified economy with just four sectors (natural resources, manufacturing, trade and services, and personal consumption) is given below. Suppose the demand (in millions of dollars) matrix is matrix D given below. Find the amount each sector should produce. SEP Natural Resources Manufacturing Trade and Services Personal Consumption 3 View an example Get more help $ R F 000 000 F4 % om/Player/Player.aspx?cultureld=&theme=math&style=highered&disableStandbyIndicator=true&assignmentHandles 5 T Natural Manufacturing Trade and Resources Services 0.0029 0.0584 0.2031 0.6105 Production levels of units from natural resources, units from manufacturing, units from trade and services, and units from personal consumption are needed. (Round to the nearest whole number as needed.) G 0.1044 0.0827 0.0867 0.6253 F5 6 Y H ▲ F6 0.0429 0.1088 0.1019 0.3447 & 7 U F7 J * 00 8 ►II F8 | K Personal Consumption 0.0031 0.0321 0.3556 0.0798 ( 9 Clear all F9 O D= 0 L F10 450 299 124…
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Illustrate the Minor of a Matrix element?
Felipe, Pablo, and Amy each sell avocados for $1.40 each, boxes of strawberries for $1.90 each, and tomatoes for $0.70 each. They don't sell any other food. The number sold by each seller and each type of food is as follows. Felipe Pablo Amy Number sold Avocados Boxes of strawberries Tomatoes 400 440 620 570 530 520 The table can be represented as the following matrix. 400 420 440 A 620 590 570 530 480 520 420 590 480 (a) Find a matrix B whose entries are the prices (in dollars) of each type of food. Make sure the product AB is defined and its entries are the amounts of money (in dollars) made by each seller overall. B = 0 (b) Calculate the product AB. AB= 0 (c) How much money (in dollars) did Felipe make overall? $0 믐 1000 000 X 00 [000) Undefined
At the movies, Devin bought three tickets, one drink, and one bag of popcorn for $43.75.Neil bought one ticket, three drinks, and two bags of popcorn for $27.75Jung bought two tickets, two drinks, and one bag of popcorn for $34.Determine the values that replace the letters in the augmented matrix which represents the situation.⎡⎣⎢3cea321d1∣∣∣∣b27.75f⎤⎦⎥[3�1�3��21|�27.75�] a=�= b=�= c=�= d=�= e=�= f=�= Part BUse the completed augmented matrix to find out the prices for one ticket, one drink, and one bag of popcorn. cost of one ticket = $ cost of one drink = $ cost of one bag of popcorn = $
The table gives an estimate of basic caloric needs for different age groups and activity levels. Solve, (a) Use a 3 X 3 matrix to represent the daily caloric needs, by age and activity level, for men. Call this matrix M. (b) Use a 3 X 3 matrix to represent the daily caloric needs, by age and activity level, for women. Call this matrix W. (c) Find M - W. What does this matrix represent?
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
A drama teacher assigns final grades in her class based on the weighted system shown below. The matrix G represents the grades for Kiyo and his two friends, Rachel and Leo. Write matrix W as a 1 x 3 matrix to represent the weighted grading system. Preform matrix multiplication to find the final grades for each of the three students
The table below represents the data for the salaries of 4 secretarial workers at a local law firm. The first row represents each employee's wage per hour, and the next 6 rows represent the amount of hours each person worked for the corresponding days of this 1 week time period. (The law firm is closed on Sundays) Use matrix multiplication to find the amount of money this law firms paid their secretaries each day of the week.
Determine if the statement is true or false.Different sequences of row operations can lead to different echelon forms for the same matrix.Explain why it is true/false.

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