Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even.
-A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 3 hot dogs, 3 bags of potato chips, and 3 soft drinks for $11.25. The price of a hot dog is $1.25 more than the price of a bag of potato chips.
The cost of a soft drink is $2.00 less than the price of two hot dogs. Find the cost of each item.
A) $2.00 for a hot dog; $0.75 for a bag of potato chips; $1.50 for a soft drink
B) $1.75 for a hot dog; $1.50 for a bag of potato chips; $0.50 for a soft drink
C) $0.50 for a hot dog; $1.75 for a bag of potato chips; $1.50 for a soft drink
D) $1.75 for a hot dog; $0.50 for a bag of potato chips; $1.50 for a soft drink

Question

Quizplus · Accepted Answer

Let the price of a bag of potato chips be x. Then, the price of a hot dog is x + 1.25, and the price of a soft drink is 2(x + 1.25) - 2. Solving the equation 3(x + 1.25) + 3x + 3(2(x + 1.25) - 2) = 11.25 gives x = 0.50. Thus, the prices are $1.75 for a hot dog, $0.50 for a bag of potato chips, and $1.50 for a soft drink.

Given the Cost Function, C(x), and the Revenue Function, R(x)