Question

A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.43 per bag, and 25-pound bags $32.25 per bag. If a customer is to buy at least 65 pounds of the grass seed, but no more than 80 pounds, what is the least possible cost of the grass seed that the customer will buy?

A) $94.03
B) $96.75
C) $98.78
D) $102.07
E) $105.3

Answer 1

B)$96.75

Explanation:

5pound bag cost = $13.85

10pound bag cost= $20.43

25pound bag cost = $32.25

The least quantity of bag the customer can by is 65 pounds = (2*25 pound)+ 10 pound + 5pound = $98.78

But careful examination will show actually that since the most the customer can buy is 80 pound, then buying 25pound in three places give him even a lot cheaper than buying the least amount

75 pound = 3*25 pound = 32.25*3 = $96.75.

Therefore the least amount in cost the customer can buy is $96.75