Answer:
Explanation:
The cost and revenue function of the company is given below:
[tex]\begin{gathered} \text{Cost:}y=33,000+1,300x \\ \operatorname{Re}venue\text{: }y=1600x \end{gathered}[/tex]
For the company to break-even, the cost of production must be equal revenue generated.
That is:
[tex]33,000+1300x=1600x[/tex]
Next, solve for x.
[tex]\begin{gathered} 1600x-1300x=33,000 \\ 300x=33,000 \\ x=\frac{33,000}{300} \\ x=110 \end{gathered}[/tex]
Thus, the company must manufacture and sell 110 units of riding lawn mowers
