A bakery makes cakes and loaves. Each cake uses 2 hours of labour and each loaf uses 1 hour. If at most 40 labour hours are available, which inequality represents this resource limit?

Correct answer: C. 2x + y ≤ 40

  • A. 2x + y ≥ 40
  • B. x + 2y ≤ 40
  • C. 2x + y ≤ 40
  • D. 2x - y ≤ 40

Explanation

If x represents cakes and y represents loaves, total labour use is 2x + y. Since available labour is at most 40 hours, the correct restriction is 2x + y ≤ 40.

Written and checked by , editorLast updated
Report an error

The more specific you are, the faster it gets fixed. A source beats an opinion.

Prefer email? [email protected]

About Linear Programming

Linear programming models the maximum or minimum of an objective function subject to linear constraints. Questions involve translating word conditions into inequalities, drawing the feasible region, identifying corner points and evaluating the objective function, including cases involving non-negativity restrictions and redundant constraints.

Practise Linear Programming

30 free Linear Programming MCQs from Quantitative Methods, each with the correct answer and an explanation. Unlimited attempts, no account needed.

Discussion

Stuck on an option, or know a faster way to get there? Ask or explain it here.

No comments yet. Be the first to explain this one.

Exams that ask Quantitative Methods questions like this

Quantitative Methods is on this paper prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for it.

More Linear Programming questions