Karen earns $32 per week and consumes only two products--good j and good k. Her consumer preferences are illustrated in the chart below....

Quantity of j........TU j.................MU j..............MU j / PjQuantity of k.......TU k............MU k.................MU k / P k

0...................00....................0

1..................201...................48

2..................382...................88

3..................543...................120

4..................684...................144

5..................805...................160

6..................906...................168

7..................987...................172

Questions:

(a) Fill in the above chart (4 marks)

(b) Use your answer in (a) to determine Karen's utility maximizing quantity of each product that she will consume. Assume that goods j and k both sell for $4 each. (6 marks)