Fred is thinking of entering the soft drinks market in the area surrounding his cottage$.$ He is going to call his company $$Pop$$s Pop$.$ He realizes that the soft drink industry is dominated by only three companies that keep the competition out by spending a great deal on advertising. Nonetheless, Fred is tempted by the high profit margin. He plans to sell his cola for a dollar per bottle. Variable costs are $$0\mathrm{.}60$ per bottle. His fixed costs are estimated at $$80,000.$ He currently has the capacity to make and sell $175,000$ bottles in a summer. In order to justify spending his time on this venture, rather than sitting on his dock, Fred needs to have an operating income of $$20000.$