Medium2 marksMultiple Choice

ACCA · Question 22 · Limiting Factor Analysis

Section B - Case 2: BioNutri

BioNutri manufactures two specialized nutritional supplements: Alpha and Beta. Both products require processing on a specialized mixing machine. The machine is available for a maximum of 1,200 hours per month.

Product details:
Alpha: Selling price $50, Variable cost $30, Machine hours per unit: 2 hours. Maximum demand: 400 units.
Beta: Selling price $70, Variable cost $40, Machine hours per unit: 4 hours. Maximum demand: 300 units.

Based on the limiting factor analysis, what is the optimal production plan for the month to maximize profit?

Answer options:

A.

400 units of Alpha and 100 units of Beta

B.

300 units of Alpha and 150 units of Beta

C.

0 units of Alpha and 300 units of Beta

D.

400 units of Alpha and 300 units of Beta

How to approach this question

Rank the products based on contribution per limiting factor. Fulfill maximum demand for the 1st rank, then use remaining hours for the 2nd rank.

Full Answer

A.400 units of Alpha and 100 units of Beta✓ Correct
Rank 1: Alpha ($10/hr). Rank 2: Beta ($7.50/hr). Produce maximum Alpha: 400 units × 2 hours = 800 hours used. Hours remaining = 1,200 - 800 = 400 hours. Produce Beta with remaining hours: 400 hours / 4 hours per unit = 100 units of Beta. Optimal plan: 400 Alpha, 100 Beta.

Common mistakes

Prioritizing Beta because it has a higher contribution per unit ($30 vs $20), ignoring the limiting factor.

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