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Q.7 Consumers differ in their willingness to pay for the device, WID. No one needs more than one. All consumers value owning a WID more

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Q.7 Consumers differ in their willingness to pay for the device, WID. No one needs more than one. All consumers value owning a WID more highly, the larger is the total number of consumers using such devices. Denote the expected total number of WID users by ne , which we can also call the "expected size" of the WID network. If all consumers expect the size of the WID network to be ne , and the price of the device is p, then the number of users who will want to buy the device (i.e. the total quantity demanded) is given by n = 80-p + 0.2n , where. Suppose WIDINC is the only seller of WID and that marginal cost per WID is 16. There is no fixed cost. Suppose also that consumers are quite sophisticated and form accurate expectations about the size of the WID network, for any price p that might be set, so that n must equal ne . The maximum profit that WIDINC can earn is

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