Suppose a contractor employs carpenters, bricklayers,and plumbers, working three shifts per day. The numberof labor-hours employed in each shift is summarized inthe matrix on the right.Shift1 23Carpenters30 15 10Bricklayers355 5Labor in shift 1 costs $10 per hour, in shift 2 $15 per hour,and in shift 3 $20 per hour. Use matrix multiplication tocompute the amount spent on each type of labor.Plumbers35 35 20

Introduction: Matrix multiplication is a binary operation in mathematics that generates a matrix…

Answered: Suppose a contractor employs…

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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Speed King has two production lines, I and II. Both produce ten-speed and three-speed bicycles. The number produced per hour is given by the matrix Line I Line II 10 12 Three-speed Ten-speed 14 19 Find the number of each type bicycle that is produced if line I operates 80 hours and line II 64 hours. three-speeds ten-speeds
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.
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
(Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) Also when writing the answer, write it in the way that the computer/WebAssign wants thank you!
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.
1. Determine the size of the matrix, if not possible, state why. Pay attention to multiplication verses addition when looking for the size! A4X2 – 3B4X2 a. b. A4x2 B2X12 C. B10x3 A10x3

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