9. (35 points total) Autodraft makes computer aided design (CAD) software that is used mostly by architects. Their agship software is called ADPro. They have two kinds of customers, small partnerships (\"partnerships\") and large architectural firms (\"rms\"). There are 800 partnerships and 300 rms that are potential customers for ADPro. For simplicity, assume that each small partnership has demand for ADPro given by P = 500 50 q, where q is the number of \"seats\" (the number of computers in the company that can use the software at any one time) and P is the price per seat. Each large firm has demand for ADPro given by P=50010q, where P and q are measured in the same units as above. The marginal cost to Autodraft of providing an additional seat is zero. Autodraft has so far offered \"site licenses\" for its software. A site license gives a company the right to use ADPro on as many computers as it wants to (although it cannot give the software to anyone outside the company). a) (10 points) What is the maximum amount a small partnership would be willing to pay for a site license? What is the maximum amount a large firm would be willing to pay for a site license