(20 pts.) Daniel is employed by his emperor at a salary of $60 per year. He uses all of his income on purchasing units of food (F) and clothing (C). Food costs $4 per unit and clothing costs $5 per unit. His utility function is {1(1), '3) = ? 2'? . a) What is Daniel's optimal consumption per year? Show your steps. (6 pts.) h) Now suppose that food price changes to $10 per unit. What is Daniel's new optimal consumption? Explain the substitution effect and income effect of the food price change in terms of the quantity of food consumption. (6 pts.) c) If Daniel is compensated so that he could purchase his optimal consumption from part a) with the new food price of $10 per unit, what would he consume? Make sure to include a detailed graph with his indifference curves before the price change, after the price change without compensation, and after the price change with compensation. {8 pts.)