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mathematics
college mathematics for business
Questions and Answers of
College Mathematics For Business
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places.10P7
In Problem describe each proposition as a negation, disjunction, conjunction, or conditional, and determine whether the proposition is true or false.-3 < 0 and -3 > 0
In Problem graph the system of inequalities from the given problem, and list the corner points of the feasible region. Verify that the corner points of the feasible region correspond to the basic
Three towns are forming a consolidated school district with two high schools. Each high school has a maximum capacity of 2,000 students. Town A has 500 high school students, town B has 1,200, and
The natural diet of a certain animal consists of three foods: A, B, and C. The number of units of calcium, iron, and protein in 1 gram of each food and the average daily intake are given in the
A political scientist received a grant to fund a research project on voting trends. The budget includes $3,200 for conducting door-to-door interviews on the day before an election. Undergraduate
In Problem evaluate the given expression without using a calculator. 12· 10. 8 6.4.2
In Problem refer to the footnote for the definitions of divisor, multiple, prime, even, and odd.*List the positive integers that are divisors of 24.
In Problem express each proposition as an English sentence and determine whether it is true or false, where p and q are the propositions¬ q p: "91 is prime" q: “91 is odd"
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places.(4 + 3) !
In Problem express each proposition as an English sentence and determine whether it is true or false, where p and q are the propositionsp V q p: "91 is prime" q: “91 is odd"
In Problem express each proposition as an English sentence and determine whether it is true or false, where p and q are the propositionsp ∧ q p: "91 is prime" q: “91 is odd"
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places.(7 + 3) !
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places.(23 - 17) !
In Problem describe each proposition as a negation, disjunction, conjunction, or conditional, and determine whether the proposition is true or false.If 9 is prime, then 10 is odd.
In Problem express each proposition as an English sentence and determine whether it is true or false, where p and q are the propositionsp → q p: "91 is prime" q: “91 is odd"
An entertainment guide recommends 6 restaurants and 3 plays that appeal to a couple.(A) If the couple goes to dinner or a play, but not both, how many selections are possible?(B) If the couple goes
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places.(52 - 47) !
In Problem describe each proposition as a negation, disjunction, conjunction, or conditional, and determine whether the proposition is true or false.7 is even or 8 is odd.
In Problem express each proposition as an English sentence and determine whether it is true or false, where p and q are the propositionsThe converse of p → q p: "91 is prime" q: “91 is odd"
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places. 11! 8!
In Problem express each proposition as an English sentence and determine whether it is true or false, where p and q are the propositionsThe contrapositive of p → q p: "91 is prime" q: “91 is odd"
In Problem describe each proposition as a negation, disjunction, conjunction, or conditional, and determine whether the proposition is true or false.53 is prime and 57 is prime.
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places. 20! 18!
In Problem describe each proposition as a negation, disjunction, conjunction, or conditional, and determine whether the proposition is true or false.51 is not prime.
In Problem express each proposition as an English sentence and determine whether it is true or false, where r and s are the propositionsr → s r: "the moon is a cube" s: "rain is wet
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places. 8! 4!(8 – 4)!
In Problem state the converse and the contrapositive of the given proposition.If the square matrix A has a row of zeros, then the square matrix A has no inverse.
A county park system rates its 20 golf courses in increasing order of difficulty as bronze, silver, or gold. There are only two gold courses and twice as many bronze as silver courses.(A) If a golfer
In Problem express each proposition as an English sentence and determine whether it is true or false, where r and s are the propositionsr ∧ s r: "the moon is a cube" s: "rain is wet
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places. 10! 5!(10 – 5)!
In Problem state the converse and the contrapositive of the given proposition.If the square matrix A is an identity matrix, then the square matrix A has an inverse.
In Problem express each proposition as an English sentence and determine whether it is true or false, where r and s are the propositionsr ∨ s r: "the moon is a cube" s: "rain is wet
In Problem write the resulting set using the listing method.{1, 2, 4} ∪ {4, 8, 16}
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places. 500! 498!
In Problem express each proposition as an English sentence and determine whether it is true or false, where r and s are the propositions¬ r r: "the moon is a cube" s: "rain is wet
In Problem write the resulting set using the listing method.{1, 2, 3, 4} ∪ {2, 3, 4, 5}
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places. 601! 599!
In Problem express each proposition as an English sentence and determine whether it is true or false, where r and s are the propositionsThe contrapositive of r → s r: "the moon is a cube" s: "rain
In Problem write the resulting set using the listing method.{1, 2, 3, 4} ∩ {2, 3, 4, 5}
In Problem write the resulting set using the listing method.{1, 2, 4} ∩ {4, 8, 16}
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places.13C8
In Problem express each proposition as an English sentence and determine whether it is true or false, where r and s are the propositionsThe converse of r → s r: "the moon is a cube" s: "rain is wet
In Problem write the resulting set using the listing method.{1, 2, 3, 4} ∩ {5,6}
In Problem write the resulting set using the listing method.{1, 4, 7} ∪ {10, 13}
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places.15C10
In Problem write the resulting set using the listing method.{-3, -1} ∩ {1, 3}
In Problem describe each proposition as a negation, disjunction, conjunction, or conditional, and determine whether the proposition is true or false.-3 < 0 or -3 > 0
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places.18P6
Use the Venn diagram to find the number of elements in of the following sets:(A) A (B) B (C) U (D) A′ U A B 30 35 40 45
In Problem write the resulting set using the listing method.{1, 4, 7} ∩ {10, 13}
Because of new federal regulations on pollution, a chemical plant introduced a new, more expensive process to supplement or replace an older process used in the production of a particular chemical.
In Problem(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
In Problem(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
In Problem convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of the e-system. For each basic solution, indicate whether or not it is
A dietitian arranges a special diet using foods L, M, and N. The table gives the nutritional contents and cost of 1 ounce of each food. The diet’s daily requirements are at least 400 units of
A department store has up to $20,000 to spend on television advertising for a sale. All ads will be placed with one television station. A 30-second ad costs $1,000 on daytime TV and is viewed by
In Problem convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of the e-system. For each basic solution, indicate whether or not it is
Solve the linear programming problems in Problem by applying the simplex method to the dual problem. Minimize C = 5x1 + 4x2 + 5x3 + 6x4 subject to X1 + x2 s 12 X3 + X4 s 25 X1 + x3 2 20 X2 + x4 2
In Problem convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of the e-system. For each basic solution, indicate whether or not it is
A contractor is planning a new housing development consisting of colonial, split-level, and ranch-style houses. A colonial house requires ½ acre of land, $60,000 capital, and 4,000 labor-hours to
Solve the linear programming problems in Problem by applying the simplex method to the dual problem.Repeat Problem 47 with C = 4x1 + 7x2 + 5x3 + 6x4.Problem 47 Minimize C = 5x1 + 4x2 + 5x3 +
In Problem convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of the e-system. For each basic solution, indicate whether or not it is
In Problem graph the system of inequalities from the given problem, and list the corner points of the feasible region. Verify that the corner points of the feasible region correspond to the basic
In Problem graph the system of inequalities from the given problem, and list the corner points of the feasible region. Verify that the corner points of the feasible region correspond to the basic
In Problem graph the system of inequalities from the given problem, and list the corner points of the feasible region. Verify that the corner points of the feasible region correspond to the basic
In Problem graph the system of inequalities from the given problem, and list the corner points of the feasible region. Verify that the corner points of the feasible region correspond to the basic
In Problem graph the system of inequalities from the given problem, and list the corner points of the feasible region. Verify that the corner points of the feasible region correspond to the basic
In Problem explain why the linear programming problem has no optimal solution. Maximize P = 8x1 + 9x2 subject to 3x, – 7x2 < 42 7x2 s 42 X1, X2 2 0
In Problem explain why the linear programming problem has no optimal solution. Maximize P = 6x1 + 13x2 subject to -4r, + x2 < 4 X2 S 4 5x, s 12 4x1 - X1, X2 2 0
In Problem explain why the linear programming problem has no optimal solution. Maximize P = 12x1 + 8x2 %3D subject to -2x1 + 10x2 < 30 X1, X2 2 0
If 5x1 + 4x2 ≤ 1,000 is one of the problem constraints in a standard maximization problem in standard form with two decision variables, explain why the optimal value of the objective function
In Problem explain why the linear programming problem has an optimal solution, and find it using the table method. Maximize P = 20x, + 25x2 subject to -2x + x < 50 X1 s 100 X1, X2 2 0
If a1x1 + a2x2 ≤ b is one of the problem constraints in a standard maximization problem in standard form with two decision variables, and a1 and a2 are both positive, explain why the optimal value
In Problem explain why the linear programming problem has no optimal solution. Maximize P = 18x, + 11x, subject to 3x - 2r2 s 6 -3x, + 2x, s 6 X1, X2 2 0
In Problem explain why the linear programming problem has an optimal solution, and find it using the table method. Maximize P = 15x1 + 12x2 subject to -2x, + 5x2 < 10 2x1 - x2 < 6 X1, X2 2 0
In Problem evaluate the given expression without using a calculator. 12·11·10 3.2.1
In Problem express each proposition in an English sentence and determine whether it is true or false, where p and q are the propositions¬q p: "23 < 32 q: "34 < 43."
In Problem express each proposition in an English sentence and determine whether it is true or false, where p and q are the propositionsp V q p: "23 < 32 q: "34 < 43."
In Problem refer to the footnote for the definitions of divisor, multiple, prime, even, and odd.*List the positive integers that are divisors of 20.
In Problem evaluate the given expression without using a calculator. 10.9. 8.7.6 5.4.3.2.1
In Problem express each proposition in an English sentence and determine whether it is true or false, where p and q are the propositionsp ∧ q p: "23 < 32 q: "34 < 43."
In Problem refer to the footnote for the definitions of divisor, multiple, prime, even, and odd.*List the positive multiples of 11 that are less than 60.
In Problem evaluate the given expression without using a calculator. 8·7.6.5 4• 3.2.1
In Problem express each proposition in an English sentence and determine whether it is true or false, where p and q are the propositionsp → q p: "23 < 32 q: "34 < 43."
In Problem refer to the footnote for the definitions of divisor, multiple, prime, even, and odd.*List the positive multiples of 9 that are less than 50.
In Problem evaluate the given expression without using a calculator. 100 · 99 · 98 · 98 · 97 · 96 · ... ·3.2.1 •3.2.1
In Problem express each proposition in an English sentence and determine whether it is true or false, where p and q are the propositionsThe converse of p → q p: "23 < 32 q: "34 < 43."
In Problem refer to the footnote for the definitions of divisor, multiple, prime, even, and odd.*List the primes between 20 and 30.
In Problem evaluate the given expression without using a calculator. 11· 10. 9.... •3·2.1 8.7.6.5.4. 3.2.1
In Problem express each proposition in an English sentence and determine whether it is true or false, where p and q are the propositionsThe contrapositive of p → q p: "23 < 32 q: "34 < 43."
In Problem refer to the footnote for the definitions of divisor, multiple, prime, even, and odd.*List the primes between 10 and 20.
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places.8!
In Problem evaluate the expression. If the answer is not an integer, round to four decimal places.9!
Solve the linear programming problems in Problem by applying the simplex method to the dual problem. Minimize C = 16x, + 8x2 + 4x3 subject to 3x1 + 2x2 + 2r3 2 16 4x1 + 3x2 + x3 2 14 5x1 + 3x2 + x3 2
In Problem convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of the e-system. For each basic solution, indicate whether or not it is
In Problem(A) Form an equivalent minimization problem with ≥ problem constraints (multiply inequalities by -1 if necessary),(B) Form the dual of the equivalent problem.(C) Is the dual problem a
An investor is planning to divide her investments among high-tech mutual funds, global mutual funds, corporate bonds, municipal bonds, and CDs. Each of these investments has an estimated annual
In Problem convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of the e-system. For each basic solution, indicate whether or not it is
In Problem(A) Form an equivalent minimization problem with ≥ problem constraints (multiply inequalities by -1 if necessary),(B) Form the dual of the equivalent problem.(C) Is the dual problem a
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