Since, Profit = Revenue – cost
Requirement is, profit > 0
![\[C\left( x \right)\text{ }=\text{ }26,000\text{ }+\text{ }30\text{ }x;\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-6e6df6fa585695cdd4628230a4c4e1bc_l3.png "Rendered by QuickLaTeX.com")
where x is number of cassettes
![\[\begin{array}{*{35}{l}} \Rightarrow ~Profit\text{ }=\text{ }43x\text{ }\text{ }\left( 26,000\text{ }+\text{ }30x \right)\text{ }>\text{ }0 \\ \Rightarrow ~13x\text{ }\text{ }26,000\text{ }>\text{ }0 \\ \Rightarrow ~13x\text{ }>\text{ }26000 \\ \Rightarrow ~x\text{ }>\text{ }2000 \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-e11f494bbd10bf4af65a25327245a6dc_l3.png "Rendered by QuickLaTeX.com")
Therefore, the company should sell more than 2000 cassettes to realise profit.
Since, Profit = Revenue – cost
Requirement is, profit > 0
where x is number of cassettes
Therefore, the company should sell more than 2000 cassettes to realise profit.