Bunuel wrote:
A company sells seed either by the pound or by the acreage planted. It will sell seed M for no less than $5.50 a pound or for no less than $12.75 per acre planted. Farmers will pay no more than $6.25 a pound and no more than $13.50 per acre planted and always choose the price structure that results in the lowest cost per acre. If it takes 2 pounds of seed M to plant an acre of loamy soil and 3 pounds to plant an acre of clay soil, what is the range in dollars per pound, x, within which sales of seed M could take place?
(A) $4.25 ≤x ≤ $5.50
(B) $4.25 ≤x ≤ $6.25
(C) $4.50 ≤x ≤ $6.25
(D) $5.50 ≤x ≤ $6.75
(E) $5.50 ≤x ≤ $13.50
The lower end of x is set by the company :
a) no less than $5.50 a pound or
b) for no less than $12.75 per acre planted : If loamy soil, then 12.75/2=6.375, and if clay soil, then 12.75/3=4.25
So lower end is NOT less than 4.25$ per pound
The higher end is set by the farmers:
a) no more than $6.25 a pound : So, 6.25*2=12.50 per acre for loamy soil and 6.25*3=18.75 per acre for clay soil.
b) no more than $13.50 per acre planted
But it is given that ' Farmers always choose the price structure that results in the lowest cost per acre", and here it is 12.50 per acre. So per pound is 12.50/2=6.25
So, higher end is NOT more than 6.25
(B) $4.25 ≤x ≤ $6.25