A shop can store at most 60 units of goods, and must keep at least twice as many units of type A ( $x$ ) as of type B ( $y$ ). Which pair of constraints is right?

x + y \le 60,\ y \ge 2x

Correct answerYour answer

x + y \ge 60,\ x \ge 2y

Correct answerYour answer

x + y \le 60,\ x \ge 2y

Correct answerYour answer

x + y \le 60,\ 2x \ge y

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.

Ten questions from Linear Programming, at your own pace.

A shop can store at most 60 units of goods, and must keep at least twice as many units of type A (xxx) as of type B (yyy). Which pair of constraints is right?