22. Find the maximum value of x, +x, + 3x3 +5x4 subject to the condition that x, +x,+x +x =:= 36.The maximum value is 18.Find the values of { and g with {20 and g2 0 that maximize the following utility function subject to the given constraint.Give the value of the utility function at the optimal point.1/7 6/7U=f(l,g) = lsubject to 78+ 6g = 42What are the values of { andg at the optimal point?g =The value of the utility function at the optimal point is19. A lidless box is to be made using 432 square inches of cardboard. Find the dimensions of the box with the largest possiblevolume.The dimensions of the box areinches.(Type an exact answer in simplified form. Use a comma to separate answers as needed.)20.A lidless box is to be made with a volume of 2048 ft°. Find the dimensions of the box that requires the least amount ofmaterial.The dimensions of the box areft.(Type an exact answer in simplified form. Use a comma to separate answers as needed.)21. First, compute the gradient of the following function. Then evaluate it at the

Name: 22. Find the maximum value of x, +x, + 3x3 +5x4 subject to the condit
Uploaded: 2024-03-20T06:46:42.000Z
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Description: 22. Find the maximum value of x, +x, + 3x3 +5x4 subject to the condition that x, +x,+x +x =:= 36.The maximum value is 18.Find the values of { and g with {20 and g2 0 that maximize the following utility function subject to the given constraint.Give t