Question

Minimize the following function subject to the given constraint. (Round your answers to three decimal places.) Minimize the function fx, y, z)- x2 + y2 +z2 subject to the constraint 7x 8y 9z - 8 minimum of at (x, y, z)= X Need Help?Read It Talk to a Tutor -1 points TanApCalcBr10 8.5.017 My Notes Ask Your Teacher The total weekly profit (in dollars) realized by Country Workshop in manufacturing and selling its roll top desks is given by the following profit function, where x stands for the number of finished units and y denotes the number of unfinished units manufactured and sold each week. P(x, y) =-0.202x. 0.24y2 . 0.184xy + 98x + 4xy98x 95y 250o The company's management decides to restrict the manufacture of these desks to a total of exactly 425 units/week. How many finished and how many unfinished units should be manufactured each week to maximize the company's weekly profit? (Give your answers correct to the nearest full unit.) finished units unfinished units

Answer 1

Given f (x,y,z) 2', and the plane7x +8y+9z -8 The constrain equati on is 7x+8y +9z -8-0 Use Lagranges multipliers 9λ 7(7)+8(41)+9( ) Эд 97 7 8 32 97) 97'"2 97 36 x97)_28 2 97 28 32 36 (28 979797) 、97 36Y 32 97 97 28 32 36 97'97'97 32 97 97