Assume you are the manager of Abba Cable Company which provides commercial commu

Assume you are the manager of Abba Cable Company which provides commercial communication services to the town of Canyon Lake Texas. Because of licensing restrictions in the market only your company and two others (Babba and Cabba) are allowed to operate in this market. The three companies decide to form a cartel and divide the market shares such that each company will provide services that will maximize its profits. The licensing restrictions allow each company to sell as much as it wants at a price ceiling of $2200. You have the following output and MC data for each company: Output MC ($) Q Abba Babba Cabba 1000 2500 2600 2700 2000 2400 2300 2500 3000 2200 2100 2300 4000 2000 2000 2100 5000 2100 2200 2200 6000 2200 2500 2300a. Calculate the industry output and market share at the current price of $2200 assuming the prices are stable and unlikely to change.b. Assume the current prices in the market are challenged by the regulatory agency resulting in a new maximum price of $2000. How will this change the industry output and market share for each company? c. Is there any incentive for any company to cheat under either of the conditions in tasks a and b? Why or why not?