"Company X has a demand for its services given by p (q ) = 80 0.5q . Its cost function is given by c(q ) = 0.125q 2 . In the past it was not taxed, but now it must pay a tax of 10 dollars per unit of output. a. Calculate the monopolists profit-maximizing output and price and verify that the secondorder derivative condition holds at your solution. b. By how much will the monopolist increase its price when the tax is imposed? c. What is the effect of the tax on the monopolists profits?"