An animal breeder can buy four types of food for Vietnamese pot$-$bellied pigs. Each case of Brand A contains $35$ units

of fiber, $40$ units of protein, and $40$ units of fat. Each case of Brand B contains $140$ units of fiber, $130$ units of protein,

and $110$ units of fat. Each case of Brand C contains $245$ units of fiber, $220$ units of protein, and $200$ units of fat. Each

case of Brand D contains $420$ units of fiber, $390$ units of protein, and $310$ units of fat. How many cases of each should

the breeder mix to obtain a food that provides $4060$ units of fiber, $3710$ units of protein, and $3250$ units of fat?

$40x+130y+220z+390w=3710$

$40x+110y+200z+310w=3250$

$40x+130y+220z+390w=3710$

$40x+310w=3250$

Select all that apply.

A$.0$ brand A$,15$ brand $B,8$ brand $,0$ brand D

B$.5$ brand A$,15$ brand B$,5$ brand C$,0$ brand D

C$.2$ brand A$,5$ brand B$,2$ brand C$,10$ brand D

D$.1$ brand A$,10$ brand B$,9$ brand C$,1$ brand D

E$.0$ brand A$,$ O brand B$,8$ brand C$,15$ brand D

F$.5$ brand $A,0$ brand $B,10$ brand $C,0$ brand D

G$.3$ brand A$,0$ brand B$,11$ brand C$,3$ brand D

H$.2$ brand A$,5$ brand B$,10$ brand C$,2$ brand D