The inverse demand function for developed land in the city of Kingston is

p=100-0.5Q

where Q is the quantity (measured in acres) and p is the price per acre.

a) assume for the moment that firm A has the exclusive right to develop land in the city of Kingston. Then firm A is the monopolist in this market, and thus Q=q_A where q_A denotes the number of acres developed by firm A. Find firm A's output level that would maximize its profit, if firm A's cost is MC_A=10. Denote this output level by q^m_{A (where the superscript m indicates that this is the monopoly solution). Compute the monopoly's profit, and denote it by pie}^m_A