A large energy company produces electricity, natural gas, and oil. The production of a dollar’s worth of electricity requires inputs of $0.30 from electricity, $0.10 from natural gas, and $0.20 from oil. Production of a dollar’s worth of natural gas requires inputs of $0.30 from electricity, $0.10 from natural gas, and $0.20 from oil. Production of a dollar’s worth of oil requires inputs of $0.10 from each sector. Find the output for each sector that is needed to satisfy a final demand of $25 billion for electricity, $15 billion for natural gas, and $20 billion for oil.
> Evaluate the expression. If the answer is not an integer, round to four decimal places. 15C10
> Match the solution region of each system of linear inequalities with one of the four regions shown in the figure. Identify the corner points of each solution region.
> Solve each system of linear inequalities graphically.
> Graph each inequality.
> Graph each inequality.
> If necessary, review Section 1.2. is the point (21, 25) in the solution set of 30x - 27y ≤1?
> If necessary, review Section 1.2. Is the point (21, 25) on the line 30x - 27y = 1?
> If necessary, review Section 1.2. Is the point (7, 9) in the solution set of y ≤ 3x - 11?
> If necessary, review Section 1.2. Is the point (7, 9) on the line y = 3x - 11?
> Express your answer as a linear inequality with appropriate nonnegative restrictions and draw its graph. Refer to Problem 65. It takes 15 minutes to cover a regular mattress and 20 minutes to cover a king mattress. If the covering department has 160 labo
> Express your answer as a linear inequality with appropriate nonnegative restrictions and draw its graph. Refer to Problem 63. The candidate decides to replace the television ads with newspaper ads that cost $500 per ad. How many radio spots and newspaper
> convert the given interest rate to decimal form if it is given as a percentage, and to a percentage if it is given in decimal form. 0.085
> Express your answer as a linear inequality with appropriate nonnegative restrictions and draw its graph. Refer to Exercise 61. How many weeks should each plant operate in order to produce at least 480 minivans? Data from Problem 61: A company uses seda
> Express your answer as a linear inequality with appropriate nonnegative restrictions and draw its graph. Refer to Exercise 59. How many pounds of each yarn should the mill use to produce a fabric that is at least 45% nylon? Data from 59: A textile mill
> Express your answer as a linear inequality with appropriate nonnegative restrictions and draw its graph. A farmer wants to use two brands of fertilizer for his soybean crop. Brand A contains 18% nitrogen, 24% phosphate, and 12% potash. Brand B contains 5
> Express your answer as a linear inequality with appropriate nonnegative restrictions and draw its graph. Labor costs for a farmer are $120 per acre for corn and $100 per acre for soybeans. How many acres of each crop should the farmer plant if he wants
> Graph each inequality subject to the nonnegative restrictions.
> Graph each inequality subject to the nonnegative restrictions.
> Graph each inequality subject to the nonnegative restrictions.
> Graph each inequality subject to the nonnegative restrictions.
> Graph each inequality subject to the nonnegative restrictions.
> Define two variables and translate the sentence into an inequality. The plane is at least 500 miles closer to Chicago than to Denver.
> Solve the equation for the unknown quantity. (If necessary, review sections A.7, 2.5, and 2.6.)
> Define two variables and translate the sentence into an inequality. The Democratic candidate beat the Republican by at least seven percentage points.
> Define two variables and translate the sentence into an inequality. New-car sales and used-car sales combined are at most $500,000.
> State the linear inequality whose graph is given in the figure. Write the boundary-line equation in the form Ax + By = C, where A, B, and C are integers, before stating the inequality.
> state the linear inequality whose graph is given in the figure. Write the boundary-line equation in the form Ax + By = C, where A, B, and C are integers, before stating the inequality.
> state the linear inequality whose graph is given in the figure. Write the boundary-line equation in the form Ax + By = C, where A, B, and C are integers, before stating the inequality.
> Define the variable and translate the sentence into an inequality. Mileage exceeds 35 miles per gallon.
> Define the variable and translate the sentence into an inequality. The population is greater than 500,000.
> Define the variable and translate the sentence into an inequality. The discount is at least 5%.
> Define the variable and translate the sentence into an inequality. The average attendance is less than 15,000.
> Define the variable and translate the sentence into an inequality. She consumes no more than 900 calories per day.
> Give the slope and y intercept of each line. y = 5,00011 + 0.035x2
> In Problems. (A) graph the set of points that satisfy the inequality. (B) graph the set of points that do not satisfy the inequality.
> In Problems. (A) graph the set of points that satisfy the inequality. (B) graph the set of points that do not satisfy the inequality.
> Graph each inequality.
> Graph each inequality.
> Graph each inequality.
> pertain to the following input–output model: Assume that an economy is based on three industrial sectors: agriculture (A), building (B), and energy (E). The technology matrix M and final demand matrices (in billions of dollars) are. How
> Pertain to the following input–output model: 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. Repeat Problem 12 for D3. Data from p
> Pertain to the following input–output model: 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. Find the output for each sector that i
> Pertain to the following input–output model: 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. How much input from A and E are requi
> Solve each equation for x, where x represents a real number.
> Solve the equation for the unknown quantity. (If necessary, review sections A.7, 2.5, and 2.6.)
> Solve each equation for x, where x represents a real number. Answer:
> Solve each equation for x, where x represents a real number.
> Solve each equation for x, where x represents a real number. Answer:
> Repeat Problem 41 with the following table. Data from problem 41: An economy is based on four sectors, agriculture (A), energy (E), labor (L), and manufacturing (M). The table gives the input requirements for a dollar’s worth of output
> The economy of a country is based on two sectors, agriculture and oil. Production of a dollar’s worth of agriculture requires an input of $0.40 from agriculture and $0.35 from oil. Production of a dollar’s worth of oil requires an input of $0.20 from agr
> An economy is based on two sectors, transportation and manufacturing. Production of a dollar’s worth of transportation requires an input of $0.10 from each sector and production of a dollar’s worth of manufacturing requires an input of $0.40 from each se
> The sum of the elements in a column of any of the technology matrices in the text is less than 1. Why is this the case? Would you ever expect to find a column with a sum equal to 1? Greater than 1? How would you describe an economic system where the sum
> The technology matrix for an economy based on automobiles (A) and construction (C) is The management of these two sectors would like to set the total output level so that the final demand is always 70% of the total output. Discuss methods that could be
> Refer to Problem 28. Fill in the elements in the following technology matrix. Data from problem 28:
> Give the slope and y intercept of each line. y = 15,000 + 300x
> The technology matrix for an economy based on energy (E) and transportation (T) is (A) Find the output for each sector that is needed to satisfy a final demand of $50 million for energy and $50 million for transportation. (B) Discuss the effect on the
> Find (I – M) -1 and X.
> Find (I – M) -1 and X.
> Find (I – M) -1 and X.
> pertain to the following input–output model: Assume that an economy is based on three industrial sectors: agriculture (A), building (B), and energy (E). The technology matrix M and final demand matrices (in billions of dollars) are. Re
> pertain to the following input–output model: Assume that an economy is based on three industrial sectors: agriculture (A), building (B), and energy (E). The technology matrix M and final demand matrices (in billions of dollars) are. Fin
> As systems of linear equations without matrices.
> As systems of linear equations without matrices.
> solve each equation for x, where x represents a real number.
> solve each equation for x, where x represents a real number.
> Solve the equation for the unknown quantity. (If necessary, review sections A.7, 2.5, and 2.6.)
> solve each equation for x, where x represents a real number.
> Solve each equation for x, where x represents a real number.
> A state university system is planning to hire new faculty at the rank of lecturer or instructor for several of its two-year community colleges. The number of sections taught and the annual salary (in thousands of dollars) for each rank are given in the t
> Repeat Problem 67 if the company decides to include a 1% bonus for the sales manager in the incentive plan. Data from problem 67:
> Labor and material costs for manufacturing two guitar models are given in the table: / (A) If a total of $3,000 a week is allowed for labor and material, how many of each model should be produced each week to use exactly each of the allocations of the
> Parking fees at a zoo are $5.00 for local residents and $7.50 for all others. At the end of each day, the total number of vehicles parked that day and the gross receipts for the day are recorded, but the number of vehicles in each category is not. The fo
> Write each system as a matrix equation and solve using the inverse coefficient matrix. Use a graphing calculator or computer to perform the necessary calculations.
> Write each system as a matrix equation and solve using the inverse coefficient matrix. Use a graphing calculator or computer to perform the necessary calculations
> solve for x1 and x2..
> For n x n matrices A and B, and n x1 column matrices C, D, and X, solve each matrix equation for X. Assume that all necessary inverses exist.
> A basketball team played 21 games with a winning percentage of 81%. How many games did it lose?
> For n x n matrices A and B, and n x1 column matrices C, D, and X, solve each matrix equation for X. Assume that all necessary inverses exist.
> For n x n matrices A and B, and n x1 column matrices C, D, and X, solve each matrix equation for X. Assume that all necessary inverses exist.
> Explain why the system cannot be solved by matrix inverse methods. Discuss methods that could be used and then solve the system.
> Explain why the system cannot be solved by matrix inverse methods. Discuss methods that could be used and then solve the system.
> Explain why the system cannot be solved by matrix inverse methods. Discuss methods that could be used and then solve the system.
> The matrix equation is not solved correctly. Explain the mistake and find the correct solution. Assume that the indicated inverses exist.
> The matrix equation is not solved correctly. Explain the mistake and find the correct solution. Assume that the indicated inverses exist.
> The matrix equation is not solved correctly. Explain the mistake and find the correct solution. Assume that the indicated inverses exist.
> Write each system as a matrix equation and solve using inverses.
> Write each system as a matrix equation and solve using inverses.
> Solve the equation for the unknown quantity. (If necessary, review sections A.7, 2.5, and 2.6.)
> Write each system as a matrix equation and solve using inverses.
> Write each system as a matrix equation and solve using inverses.
> solve for x1 and x2.
> solve for x1 and x2.
> solve for x1 and x2.
> Find x1 and x2
> Find x1 and x2
> Find x1 and x2.
> Find x1 and x2..
> As a matrix equation of the form AX = B.
> If your state sales tax rate is 8.25%, what is the total cost of a motor scooter that sells for $1,349.95?
> As a matrix equation of the form AX = B.
