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Numerical Inequalities · Question 73 of 79

Question 73

MediumOriginal question

A firm's cost of making xx units is ₹(1,200+30x)(1{,}200 + 30x) and its revenue is ₹55x55x. What is the least number of units it must sell to make a profit?

Options for question 73

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Profit needs 55x>1,200+30x55x > 1{,}200 + 30x, that is 25x>1,20025x > 1{,}200, so x>48x > 48.

  2. The least whole number above 48 is 49.

Worth noting

At 48 units revenue equals cost exactly: no loss, but no profit either.

Concept
Break-even as an inequality
Typical time
90 s
Your time
—
The rule this testsInequalities from situations
Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.

Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.