How many different solutions are there to the equation x+y+z= 15subject to the following constraints ...• x must be an integer and x > 2• y must be an integer and y ≥ 3• z must be an integer and z > 4

x y z 2 3 10 4 9 5 8 6 7 7 6 8 5 9 4

Answered: How many different solutions are there…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Use the simplex method to solve the following. z = 3x₁ + 3x₂ - 6x3 5x₁ + 5x₂ - 10x3 ≤ 75 6x₁ + 6x₂ + 12x3 ≤ 104 X₁ ≥ 0, X₂ ≥0, X3 ≥ 0. Maximize subject to Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Treating x₂ as a nonbasic variable, the maximum is x₁ =₁ X₂ = ‚ X3: S₁ = 0 and $₂ B. There is no maximum solution for this problem. when
2.) The Aitken Skateboard Company makes custom skateboards. They have figured out that their profit can be modeled by the equation: P = -2b? + 14b – 20 where b is the number of skateboards produced (in thousands >so for example 1,000 skateboards would be plugged in as 1) and P is the company's profit (in hundreds of thousands of dollars). • How many skateboards should they produce to maximize their profit? What is their max profit? Explain how you found that value. • How many skateboards should they produce to make zero profit? (Known as the break even point). Explain how you found that value. What is the companies ' profit if they produce 3,000 skateboards? 4,500 skateboards? Explain how you found those values.
A rancher has 260 meters of fence with which to enclose three sides of a rectangular meadow (the fourth side is a cliff wall and will not require fencing). Find the dimensions of the meadow with the largest possible area. (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side).) length = meters width= meters What is the largest area possible for this meadow? area = meters-squared Enter your answers as numbers. If necessary, round to the nearest hundredths.
(b) To find the number of shoes, a company should manufacture per day to optimally use their machine and assembly line. One needs to solve the following set of equations. The unknowns are the number for men, X1, women, x2, teenagers, x3, and infants, x4. 10x1 – x2 + 2x3 = 6 —х1 + 11х — хз+ 3x, 3D 25 2x1 – x2 + 10xX3 – X4 = -11 Зx2 — хз + 8хд 3D 15 Find approximate solutions to x1, x2, X3, and x4. Starting with x = (0, 0, 0, 0)" and iterating until ||x(*) – x*-)|. < 10-3 ||x(k) || .
Pivot once about the circled element in the simplex tableau, and read the solution from the result. x1 x2 x3 s1 2 83 2 0 이 14 이 36 이 18 0 10 1 2 0 1 2. 3 -2 -1 -3 O A. X3 = 14, s2 = 12, s3 = 4, z = 42; x,, X2, S, = 0 %3D OB. X3 = 14, s2 = 12, s3 = -4, z = 42; x4, X2, S, = 0 OC. X3 = 14, s2 = - 12, s3 = 4, z = - 42; x1, X2, S1 = 0 O D. X3 = 14, s2 = -6, s3 = 4, z = 42; x4, X2, S1 = 0 %3D
a.) Make a list of the amounts of money one can have that cannot be reduced to a smaller number of coins. (Hint: there are seven possible amounts.) One of the amounts is (d+e). b.) Make an addition table for Glosian money. It should be a seven by seven table, with a row and column for each of the amounts you found in the previous problem. For example, your table shouldshow that (d+e)+d=f c.) One of the seven amounts you found in the previous problem can be considered to be the zero of Glosian money, since adding it to a collection of coins does not change the collection’s value (after trading to get the smallest possible number of coins, of course.) Which amount is the zero forGlosian money? d.) The opposite of an amount is the amount you add to it to get the zero. Find the opposite of each of the seven amounts.
Without graphing or solving the following, determine if the solutions to the equations will have one solution, no solution, or infinitely many solutions (y= ²/3 x + 5 y = ²/x-5 15): d. e. { y = ²x + 5 (5y = 4x + 25 15a) 15b)
I need an answer in a very short time
If |zı| = 1, |z2| = 2, |z3| = 3 and |9zįz2 + 4z1Z3 + Z2Z3| = 12, then the value of |zi + Z2 + Z3[ is equal to
12. Solve each of the following equations by factoring. Verify your answer x² + 6x +8= 0 a. b. 3x² – 5x +2=0 2x4=8 るX-1-6 2+4 =6 -3+-2==5 (Gx+2)(>x+4) = O 3x2-32-てxt2 るc(x-1-2(っc-) (x-1)(3>x-2) =O d. 36x² – 81 = 0 4x² + 27 = 24x
1. Does the equation 6x +12y + 48z = 308 have any solutions such that x = Z, y = Z, and z € Z? If yes, provide one. If not, explain your answer.

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How many different solutions are there to the equation x+y+z=15 subject to the following constraints ... • must be an integer and x > 2 • y must be an integer and y > 3 • z must be an integer and z> 4