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college mathematics for business

Questions and Answers of College Mathematics For Business

Find the inverse of each matrix in Problem if it exists. -2 2 3 0 -1 4 4 0 4
Find a, b, c, and d so that [a b + d] 2 -2] -4. 3
Each of the matrices in Problem is the result of performing a single row operation on the matrix A shown below. Identify the row operation. -3 %3D 6. -3 12
Find the inverse of each matrix in Problem if it exists. -1 3 -2 -1 -1 4 3 -22 19
At $4.80 per bushel, the annual supply for soybeans in the Midwest is 1.9 billion bushels, and the annual demand is 2.0 billion bushels. When the price increases to $5.10 per bushel, the annual
Find a, b, c, and d so that -2 a 1 [2 -3. d. [3 2.
In Problem find the inverse. Note that each inverse can be found mentally, without the use of a calculator or pencil-and-paper calculations. 5]
In Problem graph the equations in the same coordinate system. Find the coordinates of any points where two or more lines intersect. Is there a point that is a solution to all three equations?x - 2y =
Find w, x, y, and z so that 4 -3 + -3 y Z. 5]
In Problem define the variable and translate the sentence into an inequality.The enrollment is at most 30.
In Problem define the variable and translate the sentence into an inequality.The population is greater than 500,000.
In Problem is the solution region bounded or unbounded?-x + 2y ≤ 22x - y ≤ 2 x ≥ 0 y ≥ 0
In Problem is the solution region bounded or unbounded?-x + 2y ≥ 22x - y ≤ 2 x ≥ 0 y ≥ 0
In Problem define the variable and translate the sentence into an inequality.The monthly take-home pay is over $3,000.
In Problem is the solution region bounded or unbounded?-x - y ≤ 3 x ≤ 9 x ≥ 0 y ≥ 0
In Problem define the variable and translate the sentence into an inequality.The average attendance is less than 15,000.
In Problem define the variable and translate the sentence into an inequality.He practices no less than 2.5 hours per day.
In Problem is the solution region bounded or unbounded?4x - 3y ≤ 12 x ≥ 0 y ≥ 0
In Problem define the variable and translate the sentence into an inequality.She consumes no more than 900 calories per day.
In Problem is the solution region bounded or unbounded?5x - 2y ≥ 10 x ≥ 0 y ≥ 0
In Problem define the variable and translate the sentence into an inequality.There are fewer than 10 applicants.
In Problem is the solution region bounded or unbounded?x + 2y ≥ 4 x ≥ 0 y ≥ 0
In Problem construct a mathematical model in the form of a linear programming problem. (The answers in the back of the book for these application problems include the model.) Then solve the problem
Solve the linear programming problems in Problem Maximize P = 3x + 2y subject to 2r + y s 22 x + 3y s 26 Xs 10 ys 10 X, y 2 0
Solve the linear programming problems in Problem Minimize C = &x + 3y subject to x + y > 10 2r + y 2 15 X, y 2 0
In Problem construct a mathematical model in the form of a linear programming problem. (The answers in the back of the book for these application problems include the model.) Then solve the problem
A company uses two machines to solder circuit boards, an oven and a wave soldering machine. A circuit board for a calculator needs 4 minutes in the oven and 2 minutes on the wave machine, while a
Solve the linear programming problems in Problem Maximize P = 3x + 4y x + 2y s 12 x + ys 7 subject to 2x + ys 10 X, y 2 0
Solve the linear programming problems in Problem Minimize C = 5x + 2y x + 3y 2 15 2x + y 2 20 subject to X, y 2 0
Solve the linear programming problems in Problem Maximize P = 2r + 6y subject to x + 2y s 8 2r + y s 10 x, y 2 0
Graph the systems in Problem and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point.3x + y ≥ 92x + 4y ≥ 16
Graph the systems in Problem and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point.2x + y ≤ 83x + 9y ≤ 27 x, y ≥
Graph the systems in Problem and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point.15x + 16y ≥ 1,200
Graph the systems in Problem and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point.5x + 9y ≤ 90 x, y ≥ 0
Two sociologists have grant money to study school busing in a particular city. They wish to conduct an opinion survey using 600 telephone contacts and 400 house contacts. Survey company A has
The U.S. population was approximately 75 million in 1900, 150 million in 1950, and 275 million in 2000. Construct a model for this data by finding a quadratic equation whose graph passes through the
People approach certain situations with “mixed emotions.” For example, public speaking often brings forth the positive response of recognition and the negative response of failure. Which
Problem require the use of a graphing calculator or computer. Use the 4 x 4 encoding matrix B given below. Form a matrix with 4 rows and as many columns as necessary to accommodate the message.Encode
As a result of several mergers and acquisitions, stock in four companies has been distributed among the companies. Each row of the following table gives the percentage of stock in the four companies
An object dropped off the top of a tall building falls vertically with constant acceleration. If s is the distance of the object above the ground (in feet) t seconds after its release, then s and t
Problem require the use of a graphing calculator or computer. Use the 4 x 4 encoding matrix B given below. Form a matrix with 4 rows and as many columns as necessary to accommodate the message.Encode
A corporation has a taxable income of $7,650,000. At this income level, the federal income tax rate is 50%, the state tax rate is 20%, and the local tax rate is 10%. If each tax rate is applied to
Animals in an experiment are to be kept under a strict diet. Each animal should receive 20 grams of protein and 6 grams of fat. The laboratory technician is able to purchase two food mixes: Mix A has
In Problem find A-1 and A2. [5 -3 -5
A chemical manufacturer wants to lease a fleet of 24 railroad tank cars with a combined carrying capacity of 520,000 gallons. Tank cars with three different carrying capacities are available: 8,000
In Problem find A-1 and A2. -5 4 -9- -6 5
In a local California election, a public relations firm promoted its candidate in three ways: telephone calls, house calls, and letters. The cost per contact is given in matrix M, and the number of
A small manufacturing plant makes three types of inflatable boats: one person, two-person, and four-person models. Each boat requires the services of three departments, as listed in the table. The
In Problem find A-1 and A2. -1 3 0 1
A nutritionist for a cereal company blends two cereals in three different mixes. The amounts of protein, carbohydrate, and fat (in grams per ounce) in each cereal are given by matrix M. The amounts
Show that (AB)-1 = B-1A-1 for [2 5 B = 3 4 3 A and 3 2] 7. ||
A biologist has available two commercial food mixes containing the percentage of protein and fat given in the table.(A) How many ounces of each mix should be used to prepare each of the diets listed
An import car dealer sells three models of a car. The retail prices and the current dealer invoice prices (costs) for the basic models and options indicated are given in the following two matrices
Show that (A-1)-1 = A for: 4 A [3 3 2]
A supplier manufactures car and truck frames at two different plants. The production rates (in frames per hour) for each plant are given in the table:How many hours should each plant be scheduled to
Repeat Problem 69 with the cost and revenue equationsy = 65,000 + 1,100x Cost equationy = 1,600x Revenue equationProblem 69y = 48,000 + 1,400x Cost equationy = 1,800x Revenue equation
Find the inverse of each matrix in Problem if it exists. -1 -2 -4 2 8. 6 -2 -1
Find the inverse of each matrix in Problem if it exists. 4 2 2 4 20 50 5
A small plant manufactures riding lawn mowers. The plant has fixed costs (leases, insurance, etc.) of $48,000 per day and variable costs (labor, materials, etc.) of $1,400 per unit produced. The
A company with two different plants manufactures guitars and banjos. Its production costs for each instrument are given in the following matrices:Find ½ (A + B), the average cost of production for
Find the inverse of each matrix in Problem if it exists. -5 -2 -2 1 1 1 2.
Find the inverse of each matrix in Problem if it exists. 1 1 0 -1 0 1 1 -1 2.
In Problem find the inverse. Note that each inverse can be found mentally, without the use of a calculator or pencil-and-paper calculations. -1 [] 0
The coefficients of the three systems given below are similar. One might guess that the solution sets to the three systems would be nearly identical. Develop evidence for or against this guess by
In Problem determine whether the statement is true or false.There exist two nonzero 1 x 1 matrices A and B such that AB is the 1 x 1 zero matrix.
In Problem find the inverse. Note that each inverse can be found mentally, without the use of a calculator or pencil-and-paper calculations. 3 3.
In Problem determine whether the statement is true or false.There exist two nonzero 2 x 2 matrices A and B such that AB is the 2 x 2 zero matrix.
In Problem find the inverse. Note that each inverse can be found mentally, without the use of a calculator or pencil-and-paper calculations. -/2 2.
In Problem determine whether the statement is true or false.There exist two 2 x 2 matrices A and B such that AB ≠ BA.
In Problem determine whether the statement is true or false.There exist two 1 x 1 matrices A and B such that AB ≠ BA.
For n x n matrices A and B, and n x 1 column matrices C, D, and X, solve each matrix equation in Problem for X. Assume that all necessary inverses exist. AX – C = D - BX
Find the inverse of each matrix in Problem if it exists. 5 -10 -2 24
Find the inverse of each matrix in Problem if it exists. 3 -1 -5 35
For n x n matrices A and B, and n x 1 column matrices C, D, and X, solve each matrix equation in Problem for X. Assume that all necessary inverses exist. AX + X = C
In Problem use a graphing calculator to find the solution to each system. Round any approximate solutions to three decimal places.4.2x + 5.4y = -12.96.4x + 3.7y = -4.5
Each of the matrices in Problem is the final matrix form for a system of two linear equations in the variables x1 and x2. Write the solution of the system. 1. 5 10
In Problem use a graphing calculator to find the solution to each system. Round any approximate solutions to three decimal places.-2.4x + 3.5y = 0.1-1.7x + 2.6y = -0.2
In Problem use a graphing calculator to find the solution to each system. Round any approximate solutions to three decimal places.3x - 7y = -202x + 5y = 8
In Problem use a graphing calculator to find the solution to each system. Round any approximate solutions to three decimal places.3x - 2y = 154x + 3y = 13
Find the inverse of each matrix in Problem if it exists. [2 1 [4 3
Each of the matrices in Problem is the final matrix form for a system of two linear equations in the variables x1 and x2. Write the solution of the system. -2 15
In Problem use a graphing calculator to find the solution to each system. Round any approximate solutions to three decimal places.y = -1.7x + 2.3y = -1.7x - 1.3
Each of the matrices in Problem is the final matrix form for a system of two linear equations in the variables x1 and x2. Write the solution of the system. -2
Find the inverse of each matrix in Problem if it exists. 2. [3 9.
In Problem use a graphing calculator to find the solution to each system. Round any approximate solutions to three decimal places.y = 0.2x + 0.7y = 0.2x - 0.1
Each of the matrices in Problem is the final matrix form for a system of two linear equations in the variables x1 and x2. Write the solution of the system. 1 3 0 0 24
In Problem use a graphing calculator to find the solution to each system. Round any approximate solutions to three decimal places.y = 5x - 13y = -11x + 7
Each of the matrices in Problem is the final matrix form for a system of two linear equations in the variables x1 and x2. Write the solution of the system. 1 3 1 -5]
An outdoor amphitheater has 25,000 seats. Ticket prices are $8, $12, and $20, and the number of tickets priced at $8 must equal the number priced at $20. How many tickets of each type should be sold
Each of the matrices in Problem is the final matrix form for a system of two linear equations in the variables x1 and x2. Write the solution of the system. -4 6] 1 0 1
Find the inverse of each matrix in Problem if it exists. 4 3] -3 -2
In Problem use a graphing calculator to find the solution to each system. Round any approximate solutions to three decimal places.y = 9x - 10y = -7x + 8
Given M in Problem find M-1 and show that M-1M = I. 3 -1 2. 2.
Use row operations to change each matrix in Problem to reduced form. -2 3 -6 -3 0 -1 1
A company with manufacturing plants in California and Texas has labor-hour and wage requirements for the manufacture of two inexpensive calculators as given in matrices M and N below:(A) Find the
Problem are concerned with the linear systemy = mx + by = nx + cwhere m, b, n, and c are nonzero constants.If m = 0, how many solutions does the system have?
Problem are concerned with the linear systemy = mx + by = nx + cwhere m, b, n, and c are nonzero constants.If the system has an infinite number of solutions, discuss the relationships among the four
A manufacturer wishes to make two different bronze alloys in a metal foundry. The quantities of copper, tin, and zinc needed are indicated in matrix M. The costs for these materials (in dollars per
Given M in Problem find M-1 and show that M-1M = I. 1 -3 1 1 2 -1 4
In Problem the matrix equation is not solved correctly. Explain the mistake and find the correct solution. Assume that the indicated inverses exist. XA = AB, X = AB A, X = B %3! %3D

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