Use the simplex method to solve the following linear program: max 5x₁ + 4x2 + 3x3 2x1 + 3x2 + x3 4x1+x2 + 2x3 3x₁ + 4x2 + 2x3 X1, X2, X3 ≥ 0 <5 ≤ 11 ≤ 8

Q: 1. Find the maximum value of x + y subject to the constraint x? + y² = 18

A:

Q: Find the quadratic function y= ax2 + bx + c whose graph passes through the given points.…

A: If a point lies on the graph, then it satisfies the equation of the graph. For example, the point…

Q: True or false: –3 is a solution of V5x + 16 = x + 2.

A: If the given statement is true or false.

Q: Find the maximum value of f1x2 = - 2 3 x2 + 6x - 5.

A: Consider the given function as -23x2+6x-5

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Q: Determine the vertex of quadratic function f(x) = 2x²+ 4x- 4

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Q: If a, b, and c are non-negative real numbers that satisfy a + 3b + 2c = 3 and 3a + 3b + c = 4.…

A: We will first solve a + 3b + 2c = 3 and 3a + 3b + c = 4. So,    a+3b+2c=33a+3b+c=4Substitute…

Q: Complete the square and find the maximum value of f(x) = -x 2 + 4x + 1.

A: To complete the square and find the maximum values of the given function.

Q: 2. Write a context that models the following equations. At least one context should be real-life.

A: Try to relate the given equation with real life situations.

Q: The quadratic relation y = ax* + bx +c can be transformed algebraically or the form into the form

A: Complete squaring method

Q: Find the maximum value of f(x₁,x2.x) = 10x₁ +9xy + 8x, subject to the following constraints. Write…

A: Given: The Linear programming problem (LPP) is given by: Maximize Z=10x1+9x2+8x3 Subject to:…

Q: Find the values of b and c f(x)=6x²+bx+c has vertex (7,-9)

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Q: The city will pay to have soft pavement made of recycled tires installed in the playground. In the…

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Q: Given y = x312x2+ 45x + 8, at which point does y has its maximum?

A: Given query is to find the critical point where y is maximum.

Q: The profit (in hundreds of dollars) from the sale of a sets of car tires and y sets of truck tires…

A: Given Profit function P(x,y)=−x2−y2+2x+6y

Q: ax? + bx + c whose graph Find the quadratic function y passes through the points (1, 4), (2, 1), and…

A: Given: (1,4),(2,1) and (3,4)

Q: A study of the finances of Armen motors has shown that the profit of the company can be described by…

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Q: The quadratic equation y= ax + bx+c (a+0) can have at most one extreme value (local max or min) over…

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