Repeat Problem 57 if the weekly cost of busing a student from North Division to Washington is $7 and all other data remain the same. Data From Problem 57: A metropolitan school district has two overcrowded high schools and two underenrolled high schools. To balance the enrollment, the school board decided to bus students from the overcrowded schools to the under enrolled schools. North Division High School has 300 more students than normal, and South Division High School has 500 more students than normal. Central High School can accommodate 400 additional students, and Washington High School can accommodate 500 additional students. The weekly cost of busing a student from North Division to Central is $5, from North Division to Washington is $2, from South Division to Central is $3, and from South Division to Washington is $4. Determine the number of students that should be bused from each overcrowded school to each under enrolled school in order to balance the enrollment and minimize the cost of busing the students. What is the minimum cost?
> Construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. p → (p ( q)
> Construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. p ( (p → q)
> Construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. q ( (p ( q)
> Construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. p → ¬q
> Use formula (1) for simple interest to find each of the indicated quantities. I = $28; P = $700; t = 13 weeks; r = ?
> Construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. p ( ¬ q
> State the converse and the contrapositive of the given proposition. If n is an integer that is a multiple of 6, then n is an integer that is a multiple of 2 and a multiple of 3.
> State the converse and the contrapositive of the given proposition. If g1x2 is a quadratic function, then g1x2 is a function that is neither increasing nor decreasing.
> State the converse and the contrapositive of the given proposition. If triangle ABC is isosceles, then the base angles of triangle ABC are congruent.
> Describe each proposition as a negation, disjunction, conjunction, or conditional, and determine whether the proposition is true or false. If 4 is even, then 4 is prime
> Describe each proposition as a negation, disjunction, conjunction, or conditional, and determine whether the proposition is true or false. 9 is even or 9 is prime
> Describe each proposition as a negation, disjunction, conjunction, or conditional, and determine whether the proposition is true or false. -3 is not greater than 0
> Describe each proposition as a negation, disjunction, conjunction, or conditional, and determine whether the proposition is true or false. -3 < 0 and -3 > 0
> Express each proposition as an English sentence and determine whether it is true or false, where r and s are the propositions The converse of s ( r
> Express each proposition as an English sentence and determine whether it is true or false, where r and s are the propositions ¬ r
> Use the given annual interest rate r and the compounding period to find i, the interest rate per compounding period. 10.95% compounded daily
> Express each proposition as an English sentence and determine whether it is true or false, where r and s are the propositions r ( s
> Express each proposition as an English sentence and determine whether it is true or false, where p and q are the propositions. p: “91 is prime” q: “91 is odd” The contrapositive of p → q
> Express each proposition as an English sentence and determine whether it is true or false, where p and q are the propositions. p: “91 is prime” q: “91 is odd” p → q
> Express each proposition as an English sentence and determine whether it is true or false, where p and q are the propositions. p: “91 is prime” q: “91 is odd” p v q
> (A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. (C) Find the optimal solution of the modified problem by appl
> (A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. (C) Find the optimal solution of the modified problem by appl
> (A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. (C) Find the optimal solution of the modified problem by appl
> (A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. (C) Find the optimal solution of the modified problem by appl
> Construct a mathematical model in the form of a linear programming problem. Do not solve. A farmer grows three crops: corn, oats, and soybeans. He mixes them to feed his cows and pigs. At least 40% of the feed mix for the cows must be corn. The feed mix
> Construct a mathematical model in the form of a linear programming problem. Do not solve. Refer to Problem 43. Suppose the investor decides that she would like to minimize the total risk factor, as long as her return does not fall below 9%. What percenta
> Use formula (1) for simple interest to find each of the indicated quantities. I = $15; r = 8%; t = 3 quarters; P = ?
> Construct a mathematical model in the form of a linear programming problem. Do not solve. A company makes two brands of trail mix, regular and deluxe, by mixing dried fruits, nuts, and cereal. The recipes for the mixes are given in the table. The compan
> Construct a mathematical model in the form of a linear programming problem. Do not solve. A savings and loan company has $3 million to lend. The types of loans and annual returns offered are given in the table. State laws require that at least 50% of th
> Construct a mathematical model in the form of a linear programming problem. Then solve the problem using the big M method. Discuss the effect on the solution to Problem 37 if the limit on phosphoric acid is increased to 1,000 pounds. Data from Problem 3
> Construct a mathematical model in the form of a linear programming problem. Then solve the problem using the big M method. Discuss the effect on the solution to Problem 35 if the cost of brand C liquid diet food increases to $1.50 per bottle. Data from
> Construct a mathematical model in the form of a linear programming problem. Then solve the problem using the big M method. Discuss the effect on the solution to Problem 33 if the Tribune will not accept more than 4 ads from the company Data from Problem
> Solve the Problem by the methods presented in Sections 6.2 and 6.3.
> Solve the Problem by the methods presented in Sections 6.2 and 6.3.
> Solve the Problem by the methods presented in Sections 6.2 and 6.3.
> Solve the Problem by the methods presented in Sections 6.2 and 6.3.
> Solve Problems 6 and 8 by graphing (the geometric method)
> Use the given annual interest rate r and the compounding period to find i, the interest rate per compounding period. 5.44% compounded quarterly
> Use the big M method to solve the Problem.
> Use the big M method to solve the Problem.
> Use the big M method to solve the Problem.
> Use the big M method to solve the Problem.
> Use the big M method to solve the Problem.
> Use the big M method to solve the Problem.
> Use the big M method to solve the Problem.
> Find the transpose of each matrix.
> Find the transpose of each matrix.
> Find the transpose of each matrix.
> Use formula (1) for simple interest to find each of the indicated quantities. P = $950; r = 9%; t = 1 year; I = ?
> A farmer can buy three types of plant food: mix A, mix B, and mix C. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 10 pounds of nitrogen, and 10 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 10 pounds
> Repeat Problem 50 if it costs $800 per hour to operate the West Summit mine and $200 per hour to operate the North Ridge mine and all other data remain the same. Data from Problem 50: A mining company operates two mines, each producing three grades of o
> Repeat Problem 50 if it costs $300 per hour to operate the West Summit mine and $700 per hour to operate the North Ridge mine and all other data remain the same. Data from Problem 50: A mining company operates two mines, each producing three grades of o
> A mining company operates two mines, each producing three grades of ore. The West Summit mine can produce 2 tons of low-grade ore, 3 tons of medium-grade ore, and 1 ton of high-grade ore in one hour of operation. The North Ridge mine can produce 2 tons o
> Solve the linear programming problems by applying the simplex method to the dual problem. Repeat Problem 47 with C = 4x1 + 7x2 + 5x3 + 6x4 Data from Problem 47:
> Solve the linear programming problems by applying the simplex method to the dual problem.
> (A) Form an equivalent minimization problem with Ú problem constraints (multiply inequalities by -1 if necessary), (B) Form the dual of the equivalent problem. (C) Is the dual problem a standard maximization problem in standard form? Expla
> (A) Form the dual problem. (B) Is the dual problem a standard maximization problem in standard form? Explain
> If you want to solve a minimization problem by applying the geometric method to the original problem, how many variables and problem constraints must be in the original problem?
> Use the given annual interest rate r and the compounding period to find i, the interest rate per compounding period. 2.94% compounded semiannually
> A minimization problem has 3 variables and 5 problem constraints. How many variables and problem constraints are in the dual problem?
> Solve the linear programming problems by applying the simplex method to the dual problem.
> Solve the linear programming problems by applying the simplex method to the dual problem.
> Solve the linear programming problems by applying the simplex method to the dual problem.
> Solve the linear programming problems by applying the simplex method to the dual problem.
> Solve the linear programming problems by applying the simplex method to the dual problem.
> Solve the linear programming problems by applying the simplex method to the dual problem.
> Solve the linear programming problems by applying the simplex method to the dual problem.
> Solve the linear programming problems by applying the simplex method to the dual problem.
> (A) Form the dual problem. (B) Find the solution to the original problem by applying the simplex method to the dual problem.
> Convert the given time period to years, in reduced fraction form, assuming a 360-day year [this assumption does not affect the number of quarters (4), months (12), or weeks (52) in a year]. 7 Quarters
> (A) Form the dual problem. (B) Find the solution to the original problem by applying the simplex method to the dual problem.
> (A) Form the dual problem. (B) Find the solution to the original problem by applying the simplex method to the dual problem.
> (A) Form the dual problem. (B) Find the solution to the original problem by applying the simplex method to the dual problem.
> a minimization problem, the corresponding dual problem, and the final simplex tableau in the solution of the dual problem are given. (A) Find the optimal solution of the dual problem. (B) Find the optimal solution of the minimization problem.
> (A) Form the dual problem. (B) Write the initial system for the dual problem. (C) Write the initial simplex tableau for the dual problem and label the columns of the tableau.
> Find the transpose of each matrix.
> (A) Using slack variables, write the initial system for each linear programming problem. (B) Write the simplex tableau, circle the first pivot, and identify the entering and exiting variables. (C) Use the simplex method to solve the problem Repeat Prob
> (A) Using slack variables, write the initial system for each linear programming problem. (B) Write the simplex tableau, circle the first pivot, and identify the entering and exiting variables. (C) Use the simplex method to solve the problem
> find the pivot element, identify the entering and exiting variables, and perform one pivot operation.
> find the pivot element, identify the entering and exiting variables, and perform one pivot operation.
> Use the given annual interest rate r and the compounding period to find i, the interest rate per compounding period. 3.84% compounded monthly
> For the simplex tableaux. (A) Identify the basic and nonbasic variables. (B) Find the corresponding basic feasible solution. (C) Determine whether the optimal solution has been found, an additional pivot is required, or the problem has no optimal solut
> For the simplex tableaux. (A) Identify the basic and nonbasic variables. (B) Find the corresponding basic feasible solution. (C) Determine whether the optimal solution has been found, an additional pivot is required, or the problem has no optimal solut
> Repeat Problem 55 if one of the requirements of the grant is that at least 50% of the interviewers be undergraduate students. Data from Problem 55: A political scientist received a grant to fund a research project on voting trends. The budget includes $
> Repeat Problem 53 if the scientist wants to maximize the daily calcium intake while not allowing the intake of iron or protein to exceed the average daily intake. Data from Problem 53: The natural diet of a certain animal consists of three foods: A, B,
> Repeat Problem 48 if the profit on a five-speed bicycle increases from $70 to $110 and all other data remain the same. If the slack associated with any problem constraint is nonzero, find it. Data from problem 48: A company manufactures three speed, fiv
> Repeat Problem 48 if the profit on a ten-speed bicycle increases from $100 to $110 and all other data remain the same. If the slack associated with any problem constraint is nonzero, find it. Data from problem 48: A company manufactures three speed, fiv
> A company manufactures three speed, five-speed, and ten-speed bicycles. Each bicycle passes through three departments: fabrication, painting & plating, and final assembly. The relevant manufacturing data are given in the table. How many bicycles of
> Repeat Problem 45 if the department store increases its budget to $24,000 and requires that at least half of the ads be placed during prime-time. Data from Problem 45: A department store has up to $20,000 to spend on television advertising for a sale. A
> Repeat Problem 43 under the additional assumption that no more than $30,000 can be invested in money market funds. Data from Problem 43: An investor has at most $100,000 to invest in government bonds, mutual funds, and money market funds. The average yi
> Solve Problem 41 with the additional restriction that the combined total number of components produced each week cannot exceed 420. Discuss the effect of this restriction on the solution to Problem 41. Data from Problem 41: A small company manufactures
> Convert the given time period to years, in reduced fraction form, assuming a 360-day year [this assumption does not affect the number of quarters (4), months (12), or weeks (52) in a year]. 6 Weeks
> There is a tie for the choice of the first pivot column. Use the simplex method to solve each problem two different ways: first by choosing column 1 as the first pivot column, and then by choosing column 2 as the first pivot column. Discuss the relations
> There is a tie for the choice of the first pivot column. Use the simplex method to solve each problem two different ways: first by choosing column 1 as the first pivot column, and then by choosing column 2 as the first pivot column. Discuss the relations
> Solve by the simplex method and also by graphing (the geometric method). Compare and contrast the results.
> first solve the linear programming problem by the simplex method, keeping track of the basic feasible solutions at each step. Then graph the feasible region and illustrate the path to the optimal solution determined by the simplex method.
> Solve the linear programming problems using the simplex method.
> Solve the linear programming problems using the simplex method. Repeat Problem 29 with P = 20x1 + 20x2. Data from Problem 29
> Solve the linear programming problems using the simplex method.
> Solve the linear programming problems using the simplex method.
