14. The market demand for a type of carpet has been estimated as: P = 40 - 0.25Q where P is price ($/yard) and Q is sales (hundreds of yards per month). The market supply is expressed as: P = 5 +0.1Q A typical firm in this market has a total cost function given as: C = 100 - 5q + 2q2 14.1 Please calculate the equilibrium output for a typical firm and the profit (or loss) earned by the typical firm. 14.2 Assuming the government imposes a tax of $7 per carpet, what is the deadweight loss? 15. Joanna has the following utility function