Solve the Problem $\$ 35$ Each Her One-Time Initial Cost to Produce Each 3 -Hr

Solve the problem.
-A chess master creates instructional videos about various opening strategies. She sells the videos in 3 -hr packages for $\$ 35$ each. Her one-time initial cost to produce each 3 -hr video package is $\$ 4,600$ (this includes labor and the cost of computer supplies) . The cost to package and ship each DVD is \$2.95.
a. Write a linear cost function that represents the cost $C ( x )$ to produce, package, and ship $x 3 - \mathrm { hr }$ video packages.
b. Write a linear revenue function to represent the revenue $R ( x )$ for selling $x 3$ -hr video packages.
c. Evaluate $( R - C ) ( x )$ and interpret its meaning in the context of this problem.

A) a. $C ( x ) = 8.85 x + 4,600$ ;
b. $R ( x ) = 35 x$
c. $( R - C ) ( x ) = 26.15 x - 4,600$ represents
the profit for selling $x$ DVDs.

B) a. $C ( x ) = 35 x$
b. $R ( x ) = 2.95 x + 4,600$ ;
c. $( R - C ) ( x ) = 32.05 x - 4,600$ represents
the profit for selling $x$ DVDs.

C) a. $C ( x ) = 2.95 x + 4,600$ ;
b. $R ( x ) = 35 x$
c. $( R - C ) ( x ) = 32.05 x - 4,600$ represents
the profit for selling $x$ DVDs.

D) a. $C ( x ) = 8.85 x + 4,600$ ;
b. $R ( x ) = 35 x$
c. $( R - C ) ( x ) = 4,600 - 26.15 x$ represents
the profit for selling $x$ DVDs.