Form the dual maximization problem (Use X₁, X₂, and x3 as the variables and fas the function.) and use the simplex method to solve the minimization problem. Assume that all variables are nonnegative. Minimize g = 16y₁ + 15y2, subject to the following. Y1+ Y₂2 100 2y1 +₂ 140 + 5y₂ ≥ 580 6y1 Maximize f = ≤ 16 ≤ 15 subject to X₁ X2 X3 ≥ 0. The minimum value of the objective function is which occurs at (y₁rY₂) =

Q: The goal of consumers is to maximize utility from a given budget. Assume there are three commodities…

A: Max U=xyz Subjected to constrain  5x+5y+10z=750 gx,y,z,λ=xyz-λ5x+ 5y+10z-750∂g∂x=yz-5λ=0…

Q: Samuel is running a diet center. Each lunch requires 0.3 kg of protein, while each dinner requires…

A: 0.3 Kg lunch time 0.4 Kg dinner time 167 Kg every month

Q: Use the simplex method to maximize the following: Maximize f = 5x₁ + 4x2 + 8x3 subject to 2x1 + x₂ +…

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Q: Minimize g = 7 + 6y subject to 5x + 2y > 16 3x + 7y 2 27

A:

Q: Use Lagrange multipliers to find the maximum production level when the total cost of labor (at $116…

A: The total cost of labor (at $116 per unit) and capital (at $50 per unit) is limited to $220000. Px,…

Q: 9.) Saltwater Taffy can be sold wholesale for $50 per thousand individual candies. The cost of…

A:

Q: Use the simplex method to maximize the given function. Assume all variables are nonnegative.…

A:

Q: Q1. By using simplex (Tabular) method, maximise f = 10x1 + 9x2 subjected to: 3x1 + 3x2 0

A: Consider the provided question, f=10x1+9x2subject to:3x1+3x2≤214x1+3x2+x4≤24x1,x2,x3,x4≥0

Q: Billy is using the function E = 1.89x + 2.89y to minimize his expenses when selling markers and…

A: Graphical method, linear programming

Q: Suppose that the profit (in hundreds of dollars) of a pharmaceutical company is approximated by P(x,…

A: Given,Px,y=1500+36x-1.5x2+120y-2y2 it is a function in two variable , to find the maximum of px,y.

Q: Use the simplex method to maximize the given function. Assume all variables are nonnegative.…

A: We assume, x=x1 and y=x2, and f=z

Q: Use the simplex method to maximize subject to P = P=3x₁ + 6x₂ + 4x3 -₁ + -21 + I1 + *₁ ≥ 0 2 + 73 <…

A: Maximize Subject toUsing simplex method we have to find the value of .

Q: Use the simplex method to maximize the given function. Assume all variables are nonnegative.…

A:

Q: Use the simplex method to maximize the following: Maximize f 3x1 + 9x2 subject to 4x1 + x₂ < 5 2x1 +…

A:

Q: A company produces two types of solar panels, A and B, that sell for $5million and $4 million per…

A: Given: The costs of producing type A and type B solar panels are $5 million and $4 million per…

Q: Maximize xy, subject to the constraint x² - y = 3. 1. List the point (s) where this maximum occurs:…

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Q: Maximize C = 7x + 9y + 6z subject to 12x + 8y + 15z ≤ 72 9x + 8y + 5z ≤ 144 and x ≥ 0, y ≥ 0.

A: We are given: Maximize C = 7x + 9y + 6z subject to 12x + 8y + 15z ≤ 72   9x + 8y + 5z ≤ 144…

Q: Use the simplex method to maximize the given function. Assume all variables are nonnegative.…

A: Given that the objective function is        Maximize f=2x+7y, subject to:                2x+5y≤60…

Q: Q5: Find the max and min points for the function: F(x,y) = xy, subject to the constraint x2+y2-xy=9

A:

Q: A company produces two types of solar panels, A and B, that sell for $4 million and $3 million per…

A: Given, Revenue function,R(x,y)=4x+3y Cost function,C(x,y)=x2-2xy+8y2+8x-85y-6 To find: Number of…

Q: Maximise P = – 2x2 – 5y2 + 96x + 80y + 610 Subject to 10x + 20y ≤ 500 x, y ≥ 0

A: See the attached file for a step by step explanation to find the maximization of P.

Q: Solve the following problem by using M-Technique Method. Maximize:- z= x₁ + 2x₂ + x₃ s.t x₁ + x₂ +…

A: Given,Max Z = x1 + 2x2 + x3subject tox1 + x2 + x3 = 72 x1 - 5 x2 + x3 ≥ 10and x1 ,x2 ,x3≥0

Q: 6. The revenue function (in dollars) for a business is R(x)=-4x² +80x, and the cost function (in…

A: