On one graph for each utility function, graph the following utility functions where U1 = 10 and U2 = 30, i.e. graph indifference curves when U1 = 10 and U2 = 30 for each of the following utility functions. Note that there should be one graph for each utility function that graphs the following indifference curves: U1 = 10 and U2 = 30.

a. (, ) = 2

b. (, ) = 9 + 3

c. (, ) = 0.8 0.2

d. (, ) = min (, )

e. (, ) =x

Put the work required to get the graphs, no need for an actual graph