A factory makes $x$ units of type A and $y$ units of type B. At most one-third of all the units it makes can be of type B. Which constraint is this?

3y \le x

Correct answerYour answer

x \le 2y

Correct answerYour answer

x \ge 2y

Correct answerYour answer

y \ge \frac{x}{3}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Write each resource as (amount used per unit) × (number of units), added over the products.
'At most' or 'available' gives ≤, 'at least' or 'must give' gives ≥; a profit is maximised and a cost minimised.

Worth noting

$y \le \frac{x + y}{3}$ simplifies to $2y \le x$ ; ' $3y \le x$ ' takes one-third of type A instead of one-third of the total.

Ten questions from Linear Programming, at your own pace.

A factory makes xxx units of type A and yyy units of type B. At most one-third of all the units it makes can be of type B. Which constraint is this?