Question

A company manufactures cassettes and its cost equation for a week is ( C = 300 + 1.5 x ), while its revenue equation is (R= 2x ) , where x is the number of cassettes sold. How many cassettes must be sold by the company to get some profit?

Answer 1

We know that,
Profit = revenue-cost
It is given that ​cost equation for a week is ( C = 300 + 1.5 x ), while its revenue equation is (R= 2x ),
Now
$$\begin{gathered} \mathrm{Revenue}>\mathrm{Cost}\mathrm{for}\mathrm{getting}\mathrm{some}\mathrm{profit} \\ \mathrm{Now}\mathrm{putting}\mathrm{the}\mathrm{value}\mathrm{we}\mathrm{get}, \\ 2\mathrm{x}>300+1.5\mathrm{x} \\ \frac{1}{2}\mathrm{x}>300 \\ \mathrm{or}\mathrm{x}>600 \end{gathered}$$
SO he should sold more than 600 cassettes.