The revenue earned selling school uniform shirts is given by the function R(x)=x

Question

The revenue earned selling school uniform shirts is given by the function R(x)=x(800.004x), where x is the number of shirts produced.

a. If we sell 3200 shirts, what is the revenue?
The revenue to produce 3200 shirts is $ .    

b. If we sell 3200 shirts, what is the average revenue earned per shirt?
The average revenue earned per shirt is $ .    

c. If we sell 6400 shirts, what is the average revenue earned per shirt?
The average revenue earned per shirt is $ .    

d. Find the average revenue function, R(x) from producing x shirts.
R(x)=   

Explanation / Answer

here r(x)=x(80-0.004x)

a. when x=3200

r(3200)=3200(80-0.004(3200))

=215040

the revenue for producing 3200 shirts is 215040

b. ar(x)=r(x)/x

=r(3200)/3200

=215040/3200

=67.2

the average revenue earned per shirt is 67.2 when we sell 3200 shirts

c. when x=6400

ar(6400)=r(6400)/6400

=6400(80-0.004(6400))/6400

=54.4

the average revenue per shirt is 54.4 when we sell 6400 shirts

d. ar(x)=r(x)/x

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