Question

The cost function for making jeans is given by C(x) = 0.5x + 15. The revenue function for making jeans is given by R(x) = 1.4x + 10. What is the cost at the break-even point for manufacturing jeans (rounded to the nearest jean)?​

Answer 1

The cost at the break-even point for manufacturing jeans is approximately 5.56 jeans.

Step-by-step explanation:

The break-even point occurs when the revenue is equal to the cost, so we need to find the x-value where the revenue function R(x) is equal to the cost function C(x). Setting the two equations equal to each other, we have:

1.4x + 10 = 0.5x + 15

Simplifying, we get:

0.9x = 5

x = 5/0.9 ≈ 5.56

Therefore, the break-even point for manufacturing jeans is approximately 5.56 jeans.