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
We are given 2 costs for seeds, per pound and per acreage and we are given the range of both of them in terms of selling (no less than) as well as buying (no more than). And we are given the amount of seed in pounds to plant an acre, from this information we can deduce that planting an acre is significantly cheaper than buying per pound.
And since we are asked about the range, we will consider the acreage as the lower value and the per pound as the upper value for the range
Now, company will sell at no less than 12.75 per acreage and it takes 3 pounds of seed to plant clay soil acreage so cost per pound is 12.75/4 = $4.25
Next, the higher limit which will be the cost per pound that the farmers will not exceed, that is the highest limit the cost of seed M can go = $6.25
Answer B