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- December 2, 2019 at 7:07 pm #554510
Question 25.
Chair Co has also developed a new type of office chair and management is trying to formulate a budget for this product. They have decided to match the production level to demand, however, demand for this chair is uncertain. Management have collected the following information:
Demand Probability (units)
Worst possible outcome 10,000 0·3
Most likely outcome 22,000 0·5
Best possible outcome 35,000 0·2
The selling price per unit is $25. The variable cost per unit is $8 for any production level up to 25,000 units. If the
production level is higher than 25,000 units, then the variable cost per unit will decrease by 10% and this reduction will apply to all the units produced at that level.
Total fixed costs are estimated to be $75,000.
Using probabilistic budgeting, what is the expected budgeted contribution of the product?A $282,000
B $357,000
C $287,600
D $362,600answer:
25 D
As the variable cost per unit is changing depending on the production level, contribution for each level needs to be calculated and then the probabilities applied to the outcomes.Following on the rationale explained in the answer, the expected budgeted contribution shall be $358,600 instead of $362,600..
being:units contrib. prob. $
10000 25-8 0.3 51,000
22000 25-8 0.5 187,000
25000 25-8 0.2 85,000
10000 25-7.2 0.2 35,600expected bud. contrib.$358,600.
Why are they applying the discounted variable costs to all the units in the 0.2 probability level?
Many thanks in advance.December 3, 2019 at 8:03 am #554581Because the question specifically says that if the production is higher than 25,000 then the discounted cost will apply to all of the units produced.
December 3, 2019 at 5:11 pm #554731Ok,thanks. I understood the bit ” this reduction will apply to all the units produced at that level.” as from the level of production >25.000 units.
December 4, 2019 at 8:16 am #554826No – it applies to all the units produced 🙂
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