In preparing for the upcoming holiday season, a local toy company designed a new doll called The Penguin that teaches children how to dance. The fixed cost to produce the doll is $$100,000.$ The variable cost, which includes material, labor, and shipping costs, is $$34$ per doll. During the holiday selling season, the company will sell the dolls for $$42$ each. If the company overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay the company $$10$ per doll. Demand for new toys during the holiday selling season is uncertain. The normal probability distribution with an average of $60,000$ dolls and a standard deviation of $15,000$ is assumed to be a good description of the demand. The company has tentatively decided to produce $60,000$ units $($the same as average demand$),$ but it wants to conduct an analysis regarding this production quantity before finalizing the decision.

A$.$ Based on the information below, what is the profit when demand is exactly equal to $40,000,50,000,60,000,70,000,$ and $80,000$ units?