Question

A company sells dog treats. The company's fixed and variable costs are modeled by the function C(x)=1.4x+2000. Their revenue is modeled by the function R(x)=1.5x.

Answer 1

Answer:

20,000 packages.

Step-by-step explanation:

The rest of the question is as following:

If x represents the number of packages of dog treats, how many packages do they have to sell to break even? Round your answer to the nearest whole number, and do not include units.

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The function of fixed and variable costs ⇒ C(x) = 1.4x + 2000

The function of revenue ⇒ R(x) = 1.5x

The even situation will happen when costs = revenue

∴ C(x) = R(x)

∴ 1.4 x + 2000 = 1.5x

Solve for x:

∴ 1.5x - 1.4x = 2000

∴ 0.1 x = 2000

∴ x = 2000/0.1 = 20,000

The even will happen when they sell 20,000 packages

So, To break even, they have to sell more than 20,000 packages .