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?

Profit = revenue-cost

It is given that â€‹cost equation for a week is ( C = 300 + 1.5 x ), while its revenue equation is (R= 2x ),

Now

$\mathrm{Revenue}>\mathrm{Cost}\mathrm{for}\mathrm{getting}\mathrm{some}\mathrm{profit}\phantom{\rule{0ex}{0ex}}\mathrm{Now}\mathrm{putting}\mathrm{the}\mathrm{value}\mathrm{we}\mathrm{get},\phantom{\rule{0ex}{0ex}}2\mathrm{x}300+1.5\mathrm{x}\phantom{\rule{0ex}{0ex}}\frac{1}{2}\mathrm{x}300\phantom{\rule{0ex}{0ex}}\mathrm{or}\mathrm{x}600\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}$

SO he should sold more than 600 cassettes.

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