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: B. 2x + y ≤ 40
- A. 2x + y ≥ 40
- B. 2x + y ≤ 40
- C. x + 2y ≤ 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.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? support@testustad.com
Practise Linear Programming
30 free Linear Programming MCQs from Quantitative Methods, each with the correct answer and an explanation. Unlimited attempts, no account needed.
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
Which statement correctly distinguishes linear programming from integer programming?
What does the shadow price of a resource constraint represent in a linear programming model?
In a minimization linear programming problem, the feasible region is commonly located on which side of a constraint such as 2x + y ≥ 8?
Which assumption of linear programming allows decision variables to take fractional values?
What is the main purpose of introducing an artificial variable in the simplex method?
For a constraint of the form 4x + 3y ≥ 12, which variable is normally subtracted to obtain an equality?