Please answer all, instant thumbs up show work please

Question 2: Utility maximization subject to a budget for multiple products - marginal utility per-dollar price. Below are three products A, B and C. The price of product A is $2, price of product B is $1 and price of product C is $3. The budget for the consumer is $12. Q is quantity of product, MU is the marginal utility Product A Product B Product C MU Q MU Q MU 20 25 45 N 18 20 30 A W N 24 1 A W N 14 10 18 UI A 12 U 15 10 12 a. How many A, B and C will the optimal point of consumption- maximizing utility subject to the budget? Show the work on each round of consumption (as shown in the answer key for the homework and lecture video) b. How much savings will the consumer have at the optimal point of consumption c. Show the algebraic expression that the consumer maximized utility? d. How much is the total utility at the optimal point of consumption