Question

Finding inputs and

The Sugar Sweet Company is going to transport its sugar to market. It will cost $4500 to rent trucks plus $150 for each ton of
sugar transported. The total cost, C (in dollars), for transporting tons is given by the following function.
C(n)=4500+ 150n
Answer the following questions.
(a) What is the total cost of transporting 14 tons?
$0
(b) If the total cost is $7950, how many tons is the company transporting?
tons

Answer 1

(a) Total cost for 14 tons = $6600

(b) 23 tons

Explanation:

(a):

Since n represents the tons of sugar transported, we can determine the total cost of transporting 14 tons by substituting 14 for n in C(n) = 4500 + 150n:

C(14) = 4500 + 150(14)

C(14) = 4500 + 2100

C(14) = 6600

Therefore, it costs $6600 to transport 14 tons of sugar.

(b):

Since C(n) represents the total cost for transporting tons, we can determine how many tons are transported to make the total cost $7950 by substituting 7950 for C(n) in C(n) = 4500 + 150n:

(7950 = 4500 + 150n) - 4500

(3450 = 150n) / 150

23 = n

Therefore, the company transports 23 tons to accrue a total cost of $7950.