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cartelization level

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Need Price for every cartelization level, the market output, market profits, cartel output and profits, and need noncartel firm(s) output and profit. This if for 5 firms. Starting as one firm making a cartel all the way through the 5th firm joining the cartel.

GIVEN: Q=100-p P=10+qi for all i=1......5

TC=10qi+1/2qi^2=per firm total cost
TC=10(Qr/(n-j))+1/2(Qr/(n-j)^2)=cartel firm cost
TC=10(Qj/j)+1/2(Qj/j)^2)=non cartel firm cost

j=firms not in the cartel
n=number of firms.

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Solution Summary

Prices for every cartelization level, the market output, market profits, cartel output and profits, and noncartel firm(s) output and profit are featured (see attachment).

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