Question

A company manufactures cassettes. Its cost and revenue functions are C(x)=26000+30x and R(x)= 43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realise some profit ?

Answer 1

Cost function, ` C(x)=26000+30x`
and revenue function, ` R(x)=43x`
For profit, ` R(x) lt C(x)`
`rArr 26000+30x lt 43x`
`rArr 30x-43x lt - 26000`
`rArr -13x mlt - 26000`
`rArr 13x gt 26000`
` rArr x gt (26000)/13`
`:. x gt 2000`
Hence, more than 2000 cassettes must be produced to get profit.