Yassen consumes rice X and vegetables Y, according to his utility function: If U01, Y) = ZXUZY Solve for Yassen's demand functions for commodities X and Y. What is the px-price offer equation? What is the Y-Engel equation\"?I Explain both equations. Is Yassen's preference homothetic? Show your answer and explain it. Given Yassen has an income of LEIZOO, the prices P3; is LEIOO per kilo and Py is LE60 per kilo. Find the change in consumption of good Y due to its price decrease to LE40. Then, decompose the total effect into the substitution and income effects. Show your steps and interpret results analytically and graphically. (Hint: Show all changes on the same diagram. Indicate at what values they intersect the budget lines) Given the sign of the substitution and income effects, what is the type of commodity Y? What is the relationship between commodities X and Y? Explain your