Let u(x,y) = min (3x, 5y), p_x = 2, p_y = 5, and I = 20. Solve the constrained utility maximization problem, find x*, y*, and u*. Show it on the graph.

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Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x2 + y? +…

A: Use Lagrange multipliers and solve for maximum and minimum.

Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x2 + y? +…

A: Option A is correct..

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Q: The given function subject to the constraint 38−x−3y−z=0 has a minimum at x=___________,…

A: Let fx,y,z=x2+y2+z2-2x-2y-2z+3gx,y,z=x+3y+z=38∇fx,y,z=λ∇gx,y,zfx,fy,fz=λgx,gy,gzcompute partial…

Q: 1. Suppose U(x, y) = xy + x + 2y, and the budget is described by 2x + y = m, solve for x* and y*.

A: The solution of the problem is given in the next steps.

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A: Given function subject to the constraint . To find the maximum and minimum of a f(x,y) We find out…

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A: Use Lagrange multipliers and find maximum, minimum value.

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Q: 8. Let f(x, y) = x² + y? and consider the constraint 2x + 3y = 6. (a) Find a path r(t) = (x(t),…

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Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint z? + y? +…

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A: y = √(1 - x2); z = x Hence we have to minimize, f = x2√(1 - x2)

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A: As per company guidelines we are allowed to solve one equation at a time so i am solving first one…

Q: Use Lagrange multipliers to find the maximum or minimum values of the function subject to the given…

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Q: The corner points for the bounded feasible region determined by the system of inequalities shown…

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Q: Find maximum and minumum values of f(x, y, z) = 2x – 4y + 10z subject to the constraint x? + y? + z2…

A: Z27272

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A: Change the constraint system:  -2x1-3x2-4x3≥-143x1+x2+5x3≥4x1+4x2+3x3≥6where x1, x2, x3≥0 The…

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A: given, f(x,y,z)=3x-6y+15zsubject to constraint x2+y2+z2=1080

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Q: Suppose x represents the number of tons produced daily of interior paints and y represents the…

A: Solution:

Q: Find maximum and minumum values of fx, y, z) = 3x – 6y + 15z subject to the constraint x? + y? + z?…

A: We need to find maximum and minimum values of f(x,y,z)=3x-6y+15z subject to the constraint…

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A: Given below clear explanation

Q: Find maximum and minumum values of f(x, Y, z) = 8x – 16y+ 40z subject to the constraint z? + y? + z²…

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A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 10. Let f(x, y) = x²y + y. Find the minimum and maximum values of f subject to the constraint x² +…

A: Given: fx,y=x2y+y The constraint equation is: gx,y=x2+y2=5   Now apply the Lagrange's multiplier;…

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A: Our guidelines for multiple questions, answer only first question  For 2 answer , repost the…

Q: Find maximum and minumum values of f(r, y, z) = 8x – 16y + 40z subject to the constraint z? + y? +…

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