Agrovet Group is a multidivisional agrochemical firm that deals in multiple products. Delta Division, one of its
subsidiaries makes three products branded Betax, Zetay and Alphaz. The management is contemplating
changing the sales mix in scenario I to a new sales mix in scenario II in order to maximise the net profit.
The two scenarios are envisaged as below:
Scenario I
The sales, cost and output data for original sales mix for the year 2024 for three products are as follows:
| Product | Betax | Zetay | Alphaz | Total |
| Sales mix | 40% | 30% | 30% | |
| Sh.“per unit” | Sh.“per unit” | Sh.“per unit” | Sh. |
| Selling price | 2,000 | 3,000 | 2,500 | |
| Variable cost | 1,000 | 1,800 | 1,500 | |
| Total fixed costs | | | | 15,664,000 |
| Total sales revenue | | | | 45,000,000 |
Scenario II
Agrovet Group’s estimated sales, costs and new sales mix are as follows:
| Product | Betax | Zetay | Alphaz | Total |
| Sales mix | 50% | 20% | 30% | |
| Sh.“per unit” | Sh.“per unit” | Sh.“per unit” | Sh. |
| Selling price | 2,000 | 2,800 | 2,500 | |
| Variable cost | 1,000 | 1,680 | 1,500 | |
| Total fixed costs |
|
|
| 15,664,000 |
| Total sales revenue |
|
|
| 45,000,000 |
Additional information:
1. Management performance measures are based on cost volume profit (CVP) analysis.
2. The weighted average contribution margin ratio of each scenario is determined based on its sales mix.
Required:
(i) Compute both the break-even point in sales value and the net profit for each scenario.
(ii) By comparing the break-even point and net profit, advise the management of Agrovet Group whether
it is worthwhile to change the sales mix.
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