Equations And Inequalities Question 28
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. The number of cassettes must be sold by the company to realise some profit, is
Options:
A) More than 2000
B) Less than 2000
C) More than 1000
D) Less than 1000
Show Answer
Answer:
Correct Answer: A
Solution:
- [a] Given, $ C(x)=26000+30x $ and $ R(x)=43x $
$ \therefore $ Profit $ =R(x)-C(x)=43x-(26000+30x) $ $ =13x-26000 $ For some profit, $ 13x-26000>0 $
$ \Rightarrow 13x>26000 $
$ \Rightarrow x>2000 $
BETA
