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Companies A and B are valued as follows: A B # of shares 2,000 1,000 Earnings per share $ 20 $ 10 Share price $

Companies A and B are valued as follows:
A B
# of shares 2,000 1,000
Earnings per share $ 20 $ 10
Share price $ 100 $ 75
Given that the price-earnings ratio of Company B is 50% larger than the price-earnings ratio of Company A, would it be reasonable for Company A to pay a premium of 50% to acquire the shares of Company B? Please explain your answer.

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