El coste de producción, en miles de euros, de un bien en una fabrica viene dado por c(x)=2(2x-1)^2 , con 0< = x < = 2, donde x es la cantidad producida en millones de kilogramos.
a) estudie el crecimiento y decrecimiento de la función
b) determina la cantidad a producir para que el coste sea mínimo.¿y para que el coste sea máximo? indica cual sería el coste máximo.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?