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Solve for p* and s*, all of the other variables are constants Problem Ux = 5 + + BS, - x x - YP, (r+

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Solve for p* and s*, all of the other variables are constants

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Problem Ux = 5 + + BS, - x x - YP, (r+ $52 - 7(1-2) - 8P 2 Deriving * : + + BS , - ( x - YP, = 8 + BS2 - T ( 1 - x ) - YP 2 BS , - x x - YP, = BS2 - 2 + Ex- YPz + 7 x + x x BS , - 8 P - BS, + 2+8P2 = 22x 27 B / s , - 5 2 ) + Y ( P , + P 2 ) + 2 = x 2 7 27 3 (s, - 52 ) + 8 ( - P, + P2 ) 27 2 1 , = ( P , - c ) ( 7 + B ( 5, - 52 ) + 8 ( P 2 - P. ) 71 2 = ( P 2 - C ) ( 3 + B ( 5 2 - 3 . ) + Y ( P 2 - P. ) 2 - 2 $ 2 Part 1 ) Find the partial derivatives 2 P, ( 2 ) = 2 . = 0 2 (3)= 2 72 = 0 2 Px ( 4 ) = 2T2 EQE 2 p2 Part 2) We know that S,=s, and Pa = P, s,* =s* and pit = Pat Find P.* and s # ( Solve for | $ 2 )

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