Hello,

Here is myquestion- 1) Ambrose consumes apples and berries only and his utility function is u = 4(x)^{1/2}+ y when x is his consumption of apples and y is his consumption of berries. Marginal utility of x and y are given by

(a) Suppose the price of apples is 1, the price of berries is 5 and his budget is 500. Find how many apples and berries he is going to consume.

(b) At the optimum consumption point in (a) above, if you offer him 40 apples in exchange for 9 berries, will he accept the offer? Explain why!

(c) If his budget goes down to 80 and prices remain the same, how many apples and berries will he consume?

(d) At the optimum consumption point under (c) above, what is the value of the marginal rate of substitution?

Here are myanswers- a) X=100 and Y= 80

b) the answer is no becuz he will need 45 apples in exchange for 9 berries.

c) I still get X=100 and Y=-4... so this is my question. Is that even possible? plus since budget is 80 we can really buy 100 apples right?

and whats the answer to d)? Do these have anything to do with corner solutions?

Thanks!