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U(X,Y,Z) = 10x67.73 Write the Lagrangean Function and the first-order conditions for utility maximization of this function. N

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U(X, Y, 2) = 10 x64:17 3. Į Budget constaint= I=XP xtypytZP2 - Suppose price of x = PX . Puce of y=.PY . and price of Z = P22 = 10(03) X6 y22-07- 1 P2 =0 =) 38.67.22-017 TEIPZ Now Set, equation is = equation (1) -== GX-0.4 y 0.12.0.5 3x6y: 12-017 PX= xo6 y=0.9 2.0.3 :>) 306 y. 27-017 . = ZP2 = 3Y.PY - - Y . . 3 Py. Now substituting X = 22/2 and Y= 2/2 in the budget constr22 and as, ya => y = e ngel Fr) Haces x = 3 1 an O y = 1 ropy 3 I and z = na z = 10 PZ Scanned with CamScanner

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