収益性を最大化するためのセールス・ミックスの最適化。

Alpha Corporation manufactures two products, laptops and wireless keyboards.

The proportion in which Alpha Corporation sells these products is called the sales mix.

For example, Alpha Corporation earns a contribution margin of one hundred dollars per laptop and twenty dollars per keyboard.

The company has fixed costs of one hundred and eighty thousand dollars. For this example, the company assumes a constant sales mix of one laptop for every ten keyboards.

Alex wants to find out the break-even point, where the company makes no profit and no loss.

He begins by calculating the total contribution from one sales mix combination.

For every set of one laptop and ten keyboards, the total contribution is three hundred dollars.

To calculate the number of sets required based on the current sales mix, Alex divides the fixed costs of one hundred eighty thousand dollars by the total contribution of three hundred dollars from each set. This gives six hundred sets.

So, the company must sell six hundred laptops and six thousand keyboards to break even.

Understanding sales mix helps businesses estimate break-even accurately and plan production more effectively.