Your company manufacturers controllers utilized in the production of commercial air conditioning units and currently selling them at $50 each. Marginal costs are $30 for production up to 10,000 units per month. Production cannot be pushed beyond 10,000 units per month. Is your company selling at the optimal price at which the company can maximize profits, if the price elasticity of demand is estimated to be -2 for prices among $45 and $65 per controller?