A firm's cost of making $x$ units is ₹ $(2{,}000 + 15x)$ and its revenue is ₹ $40x$ . What is the least number of units it must sell to make a profit?

50

Correct answerYour answer

80

Correct answerYour answer

81

Correct answerYour answer

134

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Profit means revenue more than cost: $40x > 2{,}000 + 15x$ , so $25x > 2{,}000$ and $x > 80$ .
The least whole number above 80 is 81.

Worth noting

At 80 units revenue equals cost exactly: no loss, but no profit either.

Ten questions from Numerical Inequalities, at your own pace.

Ten questions from Numerical Inequalities, at your own pace.

A firm's cost of making xxx units is ₹(2,000+15x)(2{,}000 + 15x)(2,000+15x) and its revenue is ₹40x40x40x. What is the least number of units it must sell to make a profit?