Michelle purchases two goods: food, , and gas, , where gas is measured in gallons per week. She has a weekly income of $500 to spend on these items. The price of a 'unit' of food is set to $1. Her preferences over food and gas are represented by the Cobb Douglas utility function (, ) = 3 , with associated marginal utility functions = 3 and = 3 2 . Find Michelle’s demand curve for gas (as a function of the price of gas, p)