#### Answer

a. $C(x)=30,000+0.02x$.
b. $R(x)=0.5x$.
c. $62,500$.
This means that you will break even when you produce and sell 62,500 cards.

#### Work Step by Step

a. We can write the cost function as $C(x)=30,000+0.02x$.
b. We can write the revenue function as $R(x)=0.5x$.
c. The break-even point can be found by letting
$R(x)=C(x)$ or $0.5x=30,000+0.02x$
which gives $x=62,500$.
This means that you will break even when you produce and sell 62,500 cards.