Suppose the shipping department of a firm charges 20% of its total monthly costs to the printing department and that the printing department charges 10% of its total monthly costs to the shipping department. If the direct costs of the shipping department are $18,000 and the direct costs of the printing department are $11,000, find the total costs for each department. Round your answer to the nearest hundredths.
A)shipping = 21,500, printing = 14,000
B)shipping = 19,500, printing = 16,000
C)shipping = 21,500, printing = 15,000
D)shipping = 14,000, printing = 21,500
E)shipping = 19,500, printing = 15,000

Question

Suppose the shipping department of a firm charges 20% of its total monthly costs to the printing department and that the printing department charges 10% of its total monthly costs to the shipping department. If the direct costs of the shipping department are $18,000 and the direct costs of the printing department are $11,000, find the total costs for each department. Round your answer to the nearest hundredths. ​
A)shipping = 21,500, printing = 14,000
B)shipping = 19,500, printing = 16,000
C)shipping = 21,500, printing = 15,000
D)shipping = 14,000, printing = 21,500
E)shipping = 19,500, printing = 15,000

Quizplus · Accepted Answer

Let $x$ be the total cost for the shipping department and $y$ be the total cost for the printing department. The equations based on the given information are $x = 18000 + 0.1y$ and $y = 11000 + 0.2x$. Solving these equations simultaneously gives $x = 19500$ and $y = 15000$.

Suppose the Shipping Department of a Firm Charges 20% of Its