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Answer :
Final answer:
The minimum total cost of the mixture is achieved when it consists of 80 kilos of x and 20 kilos of y. Option D is correct.
Explanation:
This question is asking for the minimum total cost of a mixture of two ingredients, x and y, where x costs P4.00 per kilo and y costs P5.00 per kilo. The total weight of the mixture should be 100 kilos, and it should not contain more than 20 kilos of y.
First, let's acknowledge that we want to minimize cost, and y is more expensive than x. This implies that we should use as much of x as possible, while still meeting the requirements for the amount of y. The question implies that y cannot be more than 20 kilos, so let's make y 20 kilos. Now, since the total weight must be 100 kilos, this means x must be 80 kilos.
The minimum total cost, therefore, is achieved when the mixture consists of 80 kilos of x and 20 kilos of y.
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