Geological Consultants Ltd. is a private company with four shareholders - W, X, Y, and Z - owning 300, 500, 350, and 400 shares, respectively. X is retiring and has come to an agreement with the other three shareholders to sell his shares for $175,000. The agreement calls for the 500 shares to be purchased and allocated to W, Y, and Z in the same ratio as their present shareholdings. The shares are indivisible, and consequently the share allocation must be rounded to integer values.
a) What implied value does the transaction place on the entire company?
b) How many shares will W, Y, and Z each own after the buyout?
c) What amount will each of the continuing shareholders contribute toward the $175,000 purchase price? Prorate the $175,000 on the basis of the allocation of the shares in part b.
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