A consumer's utility function is given by Ux1,x2=2x1x2+3x1U(x1,x2) = 2x1x2 + 3x1 where x1*1 and x2 %3D X2 denote the number of items of two goods G1 and G2 that are bought. Each item costs $1 for G1 and $2 for G2. Use Lagrange multipliers to find the maximum value of U0 if the consumer's income is $83. Estimate the new optimal utility if the consumer's income rises by $1.