Answer:
397 bikes
Explanation:
The revenue function is given as:
[tex]R=246.15x[/tex]The cost to produce x bikes is:
[tex]C=50,000+120x[/tex]For the company to make a profit, the revenue must be greater than the cost.
[tex]\begin{gathered} R(x)>C(x) \\ 246.15x>50,000+120x \end{gathered}[/tex]Next, solve the inequality for x:
[tex]\begin{gathered} 246.15x-120>50,000 \\ 126.15x>50,000 \\ \frac{126.15x}{126.15}>\frac{50,000}{126.15} \\ x>396.4 \end{gathered}[/tex]Thus, if the company produces 397 bikes, they will make a profit.
