ACCA PM · Chapter 6 · Question 7 of 10
In the optimal solution to a linear programming problem, machine hours are not fully used. Which of the following is true of the machine-hour constraint?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) It has slack and its shadow price is zero
Explanation
A constraint that is not fully used is non-binding: it has slack (unused capacity). Obtaining more of a resource that is already in surplus cannot increase contribution, so its shadow price is zero.
More Limiting factors and linear programming MCQs
- Q9Omega Co makes products X and Y. Contribution is $40 per unit of X and $50 per unit of Y. Constraints are: Labour: 2x + 4y <= 4,000 hours…
- Q10Psi Co makes products X and Y. Each unit of X uses 2 kg of material M and each unit of Y uses 5 kg. Only 10,000 kg of material M are…
- Q1Tau Co makes three products. Labour is limited to 12,000 hours next period. Product X: contribution $24 per unit, 3 labour hours per unit…
- Q2Tau Co makes three products. Labour is limited to 12,000 hours next period. Product X: contribution $24 per unit, 3 labour hours per unit…
- Q3Tau Co makes three products. Labour is limited to 12,000 hours next period. Product X: contribution $24 per unit, 3 labour hours per unit…
