a)A consumer's utility is U = Q₁*Q₂ where each Qs are quantities of goods 1 & 2.Good 1 costs $2 while Good 2 costs $3.Income is $30.What is the optimal consumption bundle? (4 marks)

b)How does this change if the price of Good 2 increases to $5? (2 marks)

c)How would a change in a consumer's preference structure impact these results?Describe this theoretically, there is no math to solve here. (4 marks)