(Solved): Consider a town in which only two residents, Daniel and Gabrielle, own wells that produce water saf ...

Consider a town in which only two residents, Daniel and Gabrielle, own wells that produce water safe for drinking. Daniel and Gabrielle can purnp and sell as much water as they want at no cost. For them, total revenue equals profit. The following table shows the town's demand schedule for water. Suppose Daniel and Gabrielle form a cortel and behave as a monopolist, The profit-maxirnizing price is per gallon, and the total output is gatlons. As part of their cartel agreement, Daniel and Gabrielle agree to spht production equally, Therefore, Daniel's profit, is and ciabrielle's profit is Suppose that Daniel and Gabrielle have been successfully operating as a cartel. They each charge the monopoly price and sell half of the monopoly quantity. Then one night before going to sleep, Daniel says to himself, "Gabrielle and \( t \) aren't the best of friends anyway. If \( \mathrm{f} \) increase my production to 40 gallons more than the cartel amount, 1 can increase my profit even though her profit goes down, 1 will do that starting tomorrow." After Daniel implements his new plan, the price of water to per gallon. Given Gabrielle and Daniel's production levels, Daniel's profic becomes and Gabrielle's profit becomes Because Daniel has deviated from the cartel agreement and increased his output of water to 40 gallons more than the cartel amount, Gabrielle decides that she will also increase her production to 40 gallons more than the cartel amount. After Gabrielle increases her production, Daniel's profit becomes , Gabrielle's profit becomes and tocal profit (the sum of the profits of Daniel and Gabrielle) is now True or False: Based on the fact that both Doniel and Gabrielle increased production from the initial cartel quantity, you know that the output eflect was smaller than the price effect at that quantity. True Talse Daniel and Gabrielle have each cheated on their cartel agreement and increased production by 40 gallons more than the cartel amount. However, they both realize that if they continue to increase output beyond this amount, theyll each saffer a decrease in profit. (To see this for yourself, consider Daniel's profit whien he produces 80 gallons more than the cartel amount compared to his profit when he produces 40 gallons more than the cartel amount.) Neaher Daniel nor Gabrielle has an incentive to increase cutput further, nor does either hove an incentive to decrease output. This outcome is an example of