Plz solve these problems must

A mountaineering instructor charges a price of $900 per student for a mountain climbing course and typically 10 students sign up for the course. One time he offers the course, the instructor lowers the price to $810 per student and finds that 13 students sign up for the course. Assuming the demand trend is linear and that for each price drop of $30, one more student is interested in the class, what size of class x will produce the largest revenue for the instructor? x= In a upcoming Blues Music Festival, Caring Catering has been granted exclusive rights to cater all food and drink at the event. This gives them a monopoly market dring the festival and Caring Catering is planning to take advantage of this position in its pricing of its premade meals. If x is the number of premade meals sold, the daily demand price function is projected to be: p=9.560.0002x dollars And daily total cost function is projected to be: C(x)=450+8x+0.0004x2 dollars Find the quantity that will maximum profit, the selling price at that quantity and the maximum profit. (a) Selling premade meals will maximum profit. (b) The selling price at the answer in part (a) is $ (c) The maximum profit is $