Martin Boggs Opens a New Fruit Juice Shop That Specializes $\$ 5075$

Essay

Martin Boggs opens a new fruit juice shop that specializes in frozen blended juice drinks called "smoothies." His initial cost is $\$ 5075$ . Each smoothie costs $\$ 2.00$ to make.
(a) Write a cost function $C$ , where $x$ represents the number of smoothies made.
(b) Find the revenue function $R$ , if each smoothie in part (a) sells for $\$ 3.75$ .
(c) Give the profit function $P$ .
(d) How many smoothies must be made and sold before Martin earns a profit?
(e) Support the results of part (d) graphically.