Charlie's brother, Alexander, also consumes apples (A) and bananas (B). Alexander's utility function happens to be U(A, B) = 5A + 2B. (a) Alexander has 40 apples and 5 bananas. The indifference curve through (40, 5) also include bundle ( , 2).
(b) Alexander has 40 apples and 5 bananas. With this bundle, Alexander would like to give up apple(s) for a banana.

Solution :

a). Bundles = U ( _____ , 2), lie on the same indifference curve. Suppose missing numbers is x.

So,

   (40 x 5) + (2 x 5) = 50x + (2 x 2)

     210 - 4  = 5x

So Alexander has apples and bananas. The indifference curve though also include bundle.

Therefore, (41.2, 2)

b).

                 = 0.4

So Alexander  has apples and bananas with this bundle. Alexander would like to give up unit apples for a banana.

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there's 11 people for the 1st position. then, no matter who gets it, there's only 10 left for the second, and then 9 left for the third. 11 x 10 x 9 = 990.   the answer is there are 990 different ways the positions can be filled by these applicants