> An investor has $24,000 to invest in bonds of AAA and B qualities. The AAA bonds yield an average of 6%, and the B bonds yield 10%. The investor requires that at least three times as much money should be invested in AAA bonds as in B bonds. How much shou
> If each van can transport 7 people and there are 35 available chaperones, show that the optimal solution found graphically involves decimals. Find all feasible solutions with integer coordinates and identify the one that minimizes the transportation cost
> An electronics firm manufactures two types of personal computers—a standard model and a portable model. The production of a standard computer requires a capital expenditure of $400 and 40 hours of labor. The production of a portable computer requires a c
> A furniture manufacturing company manufactures dining-room tables and chairs. The relevant manufacturing data are given in the table below. (A) How many tables and chairs should be manufactured each day to realize a maximum profit? What is the maximum p
> Refer to the bounded feasible region with corner points O = (0, 0) , A = (0, 5), B = (4, 3), and C = (5, 0) that is determined by the system of inequalities. If P = ax + 10y, explain why the minimum value of P cannot occur at B.
> Refer to the bounded feasible region with corner points O = (0, 0) , A = (0, 5), B = (4, 3), and C = (5, 0) that is determined by the system of inequalities. If P = ax + 10y, find all numbers a such that the minimum value of P occurs only at C.
> Refer to the bounded feasible region with corner points O = (0, 0) , A = (0, 5), B = (4, 3), and C = (5, 0) that is determined by the system of inequalities. If P = ax + 10y, find all numbers a such that the maximum value of P occurs at both A and B.
> Use the continuous compound interest formula (3) to find each of the indicated values
> Refer to the bounded feasible region with corner points O = (0, 0) , A = (0, 5), B = (4, 3), and C = (5, 0) that is determined by the system of inequalities. If P = ax + 10y, find all numbers a such that the maximum value of P occurs only at A.
> Explain why Theorem 2 cannot be used to conclude that a maximum or minimum value exists. Graph the feasible regions and use graphs of the objective function z = x - y for various values of z to discuss the existence of a maximum value and a minimum value
> Solve the linear programming problems stated in Problems.
> Solve the linear programming problems stated in Problems.
> Solve the linear programming problems stated in Problems.
> Solve the linear programming problems stated in Problems.
> Solve the linear programming problems stated in Problems.
> Solve the linear programming problems stated in Problems.
> Solve the linear programming problems stated in Problems.
> Solve the linear programming problems stated in Problems.
> 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. 0.0019
> Solve the linear programming problems stated in Problems.
> Solve the linear programming problems stated in Problems.
> Solve the linear programming problems stated in Problems.
> Graph the constant-cost lines through (9, 9) and (12, 12). Use a straightedge to identify the corner point where the minimum cost occurs. Confirm your answer by constructing a corner-point table.
> Solve each system of linear inequalities graphically.
> Match the solution region of each system of linear inequalities with one of the four regions shown in the figure.
> Match the solution region of each system of linear inequalities with one of the four regions shown in the figure.
> If necessary, review Section 1.2. for below Problems refer to the following system of linear inequalities: Is the point (5, 2) in the solution region?
> If necessary, review Section 1.2. for below Problems refer to the following system of linear inequalities: Is the point (5, 3) in the solution region?
> If necessary, review Section 1.2. for below Problems refer to the following system of linear inequalities: Is the point (2, 6) in the solution region?
> Use compound interest formula (1) to find each of the indicated values.
> If necessary, review Section 1.2. for below Problems refer to the following system of linear inequalities: Is the point (4, 5) in the solution region?
> A dietitian in a hospital is to arrange a special diet using two foods. Each ounce of food M contains 30 units of calcium, 10 units of iron, and 10 units of vitamin A. Each ounce of food N contains 10 units of calcium, 10 units of iron, and 30 units of v
> Refer to Problem 52. The company makes a profit of $50 on each table and a profit of $15 on each chair. (A) If the company makes 20 tables and 20 chairs per day, the daily profit will be $1,300. Are there other production schedules that will result in a
> A furniture manufacturing company manufactures dining-room tables and chairs. A table requires 8 laborhours for assembling and 2 labor-hours for finishing. A chair requires 2 labor-hours for assembling and 1 labor-hour for finishing. The maximum labor-ho
> Repeat Problem 49 for Data from problem 49: Consider the following system of inequalities and corresponding boundary lines:
> Solve the systems in below Problems graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point
> Solve the systems in below Problems graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point.
> Solve the systems in below Problems graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point.
> Solve the systems in below Problems graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point.
> Solve the systems in below Problems graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point.
> 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. 4.35%
> Solve the systems in below Problems graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point.
> Solve the systems in below Problems graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point.
> Solve the systems in below Problems graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point.
> Solve the systems in below Problems graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point.
> Solve the systems in below Problems graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point.
> Below the Problems is the solution region bounded or unbounded?
> Below the Problems is the solution region bounded or unbounded?
> Below the Problems is the solution region bounded or unbounded?
> 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.
> Use compound interest formula (1) to find each of the indicated values.
> 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