In the table, we show the relationship between the free time per day which

Bernard might choose to study while at university, and the mark which he will

obtain in the exam at the end of the semester.

Free

time 24 23 22 21 20 19 18 17 16 15 14 13 12

Mark 0 13 25 36 46 55 63 70 76 81 85 88 90

In a diagram, show:

i) Bernard's feasible frontier (with the hours of free time on the horizontal axis,

and the total mark on the vertical axis); and

ii) Bernard's marginal rate of transformation (with the hours of work on the

horizontal axis, and the change in mark from each additional hour of work on

the vertical axis).