Question: charlotte spends her income of 2400 on clothing good x...

Charlotte spends her income of $2400 on clothing (good x), and the composite good (good y). The utility Charlotte receives from consuming a basket of clothing and the composite good is

 

U(x,y) = 2√x + (y/300)

 

The corresponding marginal utilities are

 

MUx = 1/√x and MUy = 1/300

 

Question: Find Charlotte's optimal consumption basket when the price of clothing increases to P_x2 = $60 (the price of the composite good remains P_y = $1).