This is a question about microeconomics

Sally consumes two goods, X and Y. Her utility function is given by the expression U = 3XY2. The current market price for X is $10, while the market price for Y is $5. Sally's current income is $500. a) Write the expression for Sally's budget constraint. Graph the budget constraint and determine its slope. b) Determine the XX combination which maximizes Sally's utility, given her budget constraint. Show her optimum point on a graph. (Partial units for the quantities are possible.) (Note: MUY = 6XY and MUX = 3Y2) c) Calculate the impact on Sally's optimum market basket of an increase in the price of X to $15. Calciulate the change in the optimal utilities