He/she really tripping but maybe try simplifying them ?
Answer:
substitute x=1/2 in the equation then it will be

both (0,350) and (250,700) fall in the shaded are
and check:
350 *3 = 1050, which is more than 1000 and more than double the amount of hotdogs ( 0)
700 *3 = 2100, so over 1000 and more than double the amount of hotdogs(250*2=500)
so those 2 are correct
Answer: Together the pool can be drained in 2 hours and 18 minutes.