ANSWER
The company must produce and sell more than 700 radios to have a profit.
EXPLANATION
The revenue function is
and the cost function is
The company will break even when total revenue is equal to the total cost.
This implies that,
We group similar terms to get,
This simplifies to,
Divide both sides by 8 to get,
The company breaks even by producing and selling 700 radios.
The company must produce and sell more than 700 radios to have a profit.
The company must produce and sell more than 700 radios to have a profit.
EXPLANATION
The revenue function is
and the cost function is
The company will break even when total revenue is equal to the total cost.
This implies that,
We group similar terms to get,
This simplifies to,
Divide both sides by 8 to get,
The company breaks even by producing and selling 700 radios.
The company must produce and sell more than 700 radios to have a profit.