Your Weekly Cost (In Dollars) to Manufacture X Cars and Y

Multiple Choice

Your weekly cost (in dollars) to manufacture x cars and y trucks is given by $C ( x , y ) = 270,000 + 6,800 x + 3,000 y - 200,000 e ^ { - 0.03 ( x + y ) }$
What is the marginal cost of a car ? Of a truck ?

A) Marginal cost of a car is $6,800 + 6,000 e ^ { - 0.03 x }$ marginal cost of a truck is $3,000 + 6,000 e ^ { - 0.03 y }$
B) Marginal cost of a car is $6,800 - 200,000 e ^ { - 0.03 ( x + y ) }$
Marginal cost of a truck is $3,000 - 200,000 e ^ { - 0.03 ( x + y ) }$
C) Marginal cost of a car is $3,000 + 200,000 e ^ { 0.03 ( x + y ) }$
Marginal cost of a truck is $6,800 + 200,000 e ^ { 0.03 ( x + y ) }$
D) Marginal cost of a car is $3,000 - 6,000 e ^ { 0.03 ( x + y ) }$
Marginal cost of a truck is $6,800 - 6,000 e ^ { 0.03 \{ x + y \} }$
E) Marginal cost of a car is $6,800 + 6,000 e ^ { - 0.03 ( x + y ) }$
Marginal cost of a truck is $3,000 + 6,000 e ^ { - 0.03 ( x + y ) }$