PRC-2 · Chapter 4 · Question 4 of 60
If a manufacturer has 4 workers, each working 8 hours a day, and it takes 2 hours of labor to produce one unit of product 'x', which inequality correctly represents the daily production constraint?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) 2x ≤ 32
Explanation
Total available labor hours per day are 4 workers * 8 hours = 32 hours. Since each unit takes 2 hours, the total labor time used (2x) must be less than or equal to the available time (32). Therefore, 2x ≤ 32.
More Linear Programming MCQs
- Q6Under what specific condition does the straight line representing a linear equation pass exactly through the origin (0,0)?
- Q7Which of the following mathematical equations represents a straight line that passes through the origin?
- Q8In a product mix decision, what does the inequality constraint x + y ≤ 150 signify?
- Q9For a strict production constraint given as x + y ≤ 80, what is the maximum possible value of x assuming production of y is halted entirely?
- Q10What is the primary business logic behind enforcing the non-negativity constraints x ≥ 0 and y ≥ 0 in linear programming models?