3. Breakdown of a cartel agreement Consider a town in which only two residents, Dmitri and Frances, own wells that produce water safe for drinking. Dmitri and Frances can pump 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. Price Quantity Demanded Total Revenue ( Dollars per gallon) (Gallons of water) (Dollars) 3.60 0 3.30 35 $115.50 3.00 70 $210.00 2.70 105 $283.50 2.40 140 $336.00 2.10 175 $367.50 1.80 210 $378.00 1.50 245 $367.50 1.20 280 $336.00 0.90 315 $283.50 0.60 350 $210.00 0.30 385 $115.50 420 Suppose Dmitri and Frances form a cartel and behave as a monopolist. The profit-maximizing price is |$ per gallon, and the total output is gallons. As part of their cartel agreement, Dmitri and Frances agree to split production equally. Therefore, Dmitri's profit is . and Frances's profit is $ Suppose that Dmitri and Frances 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, Dmitri says to himself, "Frances and I aren't the best of friends anyway. If I increase my production to 35 gallons more than the cartel amount, I can increase my profit even though her profit goes down. I will do that starting tomorrow." After Dmitri implements his new plan, the price of water to S per gallon. Given Frances and Dmitri's production levels, Dmitri's profit becomes |S and Frances's profit becomes |$ Because Dmitri has deviated from the cartel agreement and increased his output of water to 35 gallons more than the cartel amount, Frances decides that she will also increase her production to 35 gallons more than the cartel amount. After Frances increases her production, Dmitri's profit becomes |$ . Frances's profit becomes |$ and total profit (the sum of the profits of Dmitri and Frances) is now | $ True or False: Based on the fact that both Dmitri and Frances increased production from the initial cartel quantity, you know that the output effect was larger than the price effect at that quantity. O True O False Note that Dmitri and Frances started by behaving cooperatively. However, once Dmitri decided to cheat, Frances decided to cheat as well. In other words, Frances's output decisions are based on Dmitri's actions. This behavior is an example of Grade It Now Save & Continue Continue without saving