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Mictel Corporation has a world monopoly on the production of personal computers. It can make two kinds of computers: low end and high end. One-fifth

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Mictel Corporation has a world monopoly on the production of personal computers. It can make two kinds of computers: low end and high end. One-fifth of the potential buyers are casual users. and the rest are intensive users. The costs of production of the two kinds of machines as well as the benefits gained from the two, by the two types of prospective buyers, are given in the following table (all figures are in thousands of dollars): Each type of buyer calculates the net payoff (benefit minus price) that he would get from each type of machine and buys the type that would give the higher net payoff, provided that this payoff is nonnegative. If both types give equal, nonnegative net payoffs for a buyeg, he goes for the high end. Mictel wants to maximize its expected profit. However, Mictel does not know the type of any particular buyer. It just makes its catalog available for all buyers to choose from. Suppose the firm produces both types of machines, selling the low-end ones for price x and the high-end ones for price y. The firm's profit is maximized when price x for the low-end ones is and price y for the high-end ones is - Its expected maximal profit from this policy is Hint: do not round the numbers for profit

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