Question

The cost to manufacture x chairs can be represented by the function C(x) = 36x. If C(63) = 2268, then how many chairs are being manufactured?

Answer 1

After setting the cost function C(x) = 36x equal to 2268 and solving for x, it is determined that 63 chairs are being manufactured.

Step-by-step explanation:

The question involves finding how many chairs are being manufactured given the cost function C(x) = 36x and the information that C(63) = 2268. To answer this, we set the cost function equal to 2268 and solve for x, which represents the number of chairs.

Repeating the function: C(x) = 36x, we plug in the given cost: 2268 = 36x.

Dividing both sides by 36 to solve for x:

• 2268 / 36 = x

The result is x = 63, which means 63 chairs are being manufactured.