A small cafe sells drip coffee for $0.95 per cup. On average, it costs the cafe $0.25 to make a cup of coffee (for grounds, hot water, filters). The cafe also has a fixed daily cost of $200(for rent, wages, and utilities).
(a) Let R, C, and P be the cafe's daily revenue, costs, and profit, respectively, for selling x cups of coffee in a day. Find formulas for R, C, and P as functions of x. [Hint: The revenue, R, is the total amount of money that the cafe brings in. the cost, C, includes the fixed daily cost as well as the cost for all x cups of coffee sold. P is the cafe's profit after

Question

A small cafe sells drip coffee for $0.95 per cup.  On average, it costs the cafe $0.25 to make a cup of coffee (for grounds, hot water, filters).  The cafe also has a fixed daily cost of $200(for rent, wages, and utilities).
(a) Let R, C, and P be the cafe's daily revenue, costs, and profit, respectively, for selling x cups of coffee in a day.  Find formulas for R, C, and P as functions of x.  [Hint:  The revenue, R, is the total amount of money that the cafe brings in.  the cost, C, includes the fixed daily cost as well as the cost for all x cups of coffee sold.  P is the cafe's profit after