Para abonar una parcela de huerta se necesitan, por lo menos, 8 kg de nitrógeno y 12 kg de fósforo. Se dispone de un producto M cuyo precio es de 3 euros por kilogramo y que contiene un 10% de nitrógeno y 30% de fósforo y otro producto N que contiene un 20% de nitrógeno y un 20% de fósforo y cuyo precio es de 4 euros por kilogramo. ¿Que cantidades se debe tomar de M y de N para abonar la parcela en el menor gasto posible?
Respuestas
Respuesta.
Para resolver este problema se tiene las siguientes ecuaciones proporcionadas por el enunciado:
1) 0.1m + 0.2n = 8
2) 0.3m + 0.2n = 12
Para resolver se restan las ecuaciones:
0.2m = 4
m = 4/0.2
m = 20 kg
Sustituyendo:
0.1*20 + 0.2n = 8
2 + 0.2n = 8
n = 6/0.2
n = 30 kg
tu madre si no lo sabias XDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXDXD