please can you help me draw the indifference cure and find the optimal bundle

2. (42 points) Alice and Bob both like apple pie (A) and coffee (C). Alice's utility function is U(A, C) = AFC . For Bob, apple pie and coffee are perfect complements. He always likes to drink exactly two coffee with each apple pie. (In all diagrams below, A should be on the x-axis). (a) (10) Draw some indifference curves for Alice. What is her MRS? (b) (10) Write down Bob's utility function and draw some indifference curves. What is his MRS? (c) (6) The prices of the goods are PA = 4 and Pc = 2. Alice and Bob each has an income of m = 80 . Write the budget constraint for either one of them. (d) (8) What is Alice's optimal bundle