Please answer all parts of below Question:

Here we will examine how to go from a utility function to indifference curves. Here are three utility functions: 1- Ulirlaml = x/Ilx/I 2. U (931, 1'2] = 5131 + 2172 3. U(:r1,$2] = min {$1,2I2} For each of them1 answer the following questions. a) ( 10 marks) Accurately graph the indifference curve for U = 10. You may wish to use excel to do this accurately. b) (5 marks] Calculate the level of utility for the following consumption bundle: (10,5) c) (10 marks) Calculate the marginal utility of moving from i) (10,5) to (11,5) ii) (11,5) to (12,5) d) (10 marks) Based on your answer to part c), does this utility function display diminishing marginal utility