Question
Smug Ltd produces and sells two versions of fruit juicers: Deluxe and Premium. The juicers produced by Smug Ltd use a patented technology to extract
Smug Ltd produces and sells two versions of fruit juicers: Deluxe and Premium. The juicers
produced by Smug Ltd use a patented technology to extract maximum possible juice from
most fruits. The 'Premium' version can handle larger fruit and has more processing options
relative to the 'Deluxe' version. The following table provides the financial results of the most
recent year of operations:
Particulars
Deluxe
Premium
Total
Units sold
90,000
10,000
100,000
Revenue ($)
6,300,000
900,000
7,200,000
Direct material cost ($)
1,080,000
250,000
1,330,000
Direct labour cost ($)
1,440,000
160,000
1,600,000
Contribution ($)
3,780,000
490,000
4,270,000
Allocation fixed manufacturing overheads ($)
3,420,360
380,040
3,800,400
Allocated fixed selling and after sales support
costs ($)
251,563
35,937
287,500
Operating profit ($)
108,077
74,023
182,100
Profit margin per unit ($)
$1.20
$7.40
Labour cost is $16 per hour and each product requires one (1) hour of labour time. The
company currently allocates all fixed manufacturing overheads using labour hours as the
allocation basis. The company currently allocates fixed selling and after sales support costs
using revenue as the allocation basis.
Although the profit margin per unit of Deluxe version is rather low, Smug Ltd believes that it is
strategically important to keep this model in the product mix keeping in mind its future export
potential at a higher selling price. However, Smug Ltd can tailor its promotion and sales
strategies to improve the sales mix to 8:2 from the current 9:1 ratio of 'Deluxe' to 'Premium"
juicers, with total volume staying at 100,000 units.
The notes to accounts indicate that of the total fixed manufacturing overheads, $1,100,400
relate to batch related activities such as scheduling production runs and the rest of the fixed
manufacturing overheads relate to unit level activities. $114,600 is the amount of admin
overheads out of the total selling and admin overheads.
It is also noted that the 'Premium' juicer is produced in smaller batches (250 units per batch)
than that of 'Deluxe' juicer (500 units per batch). Similarly, it takes 10 sales visits to sell 1,000
units of the 'Deluxe' juicer, while it takes 25 visits to sell 1,000 units of 'Premium' juicer.
Required
(a) Prepare a profitability statement based on the proposed sales mix, using the current
method of allocating overheads.
(b) Prepare a profitability statement based on the proposed sales mix, using a more
appropriate basis of allocating overheads.
(c) Advise the management of Smug Ltd on whether it should go ahead with the proposed
change in sales mix.
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