A monopolist faces a linear demand curve given by Q_D = 100 - 0.25P and has a linear marginal cost function MC = 40 + Q. Additionally, assume that the monopolist is required to sell their product at a uniform price.

• If the firm is free to choose its own price P_m and quantity Q_m, graphically depict this monopoly equilibrium price and quantity. Your graph should include the demand curve, marginal cost curve, and any other curves necessary to identify the equilibrium price and quantity.
• Indicate numerically all relevant intercepts for your demand and marginal cost curves (as well as any of the other curves that you may have added) on your graph.
• Compute and clearly indicate on the graph the exact monopolist equilibrium P_m and quantity Q_m that you depicted graphically.
• Please make sure that you appropriately label all axes in your drawing.