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How many units must be manufactured and sold each day for the company to break even?

How many units must be manufactured and sold each day for the company to break even-example-1
User Pcans
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5 votes

Answer:

Step-by-step explanation:

The cost and revenue function of the company is given below:


\begin{gathered} \text{Cost:}y=33,000+1,300x \\ \operatorname{Re}venue\text{: }y=1600x \end{gathered}

For the company to break-even, the cost of production must be equal revenue generated.

That is:


33,000+1300x=1600x

Next, solve for x.


\begin{gathered} 1600x-1300x=33,000 \\ 300x=33,000 \\ x=(33,000)/(300) \\ x=110 \end{gathered}

Thus, the company must manufacture and sell 110 units of riding lawn mowers

User Sushil
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