229k views
1 vote
The SneakerRama Company makes and sells sneakers. They have one linear function that represents the cost of producing sneakers and another linear function that models how much income they get from those sneakers. Describe the key features that would determine if these linear functions ever intercepted.

User Tobyb
by
8.6k points

2 Answers

5 votes
the two slopes are the key features. If the slopes are different, the two linear function will intercept.
User Ian Dunn
by
7.1k points
2 votes

Answer:

If the slope are not same then the linear function will intercept at some point.

Explanation:

We are given that:

The SneakerRama Company makes and sells sneakers.

They have one linear function that represents the cost of producing sneakers and another linear function that models how much income they get from those sneakers.

We have to find what key features that would determine if these linear functions ever intercepted.

If the slopes are not the same then the linear functions will intercept at some point.



y_c =m_(c)x+b_c cost function



y_i=m_(i)x +b_i income function



m_c\\eq m_i

There will be a point where a certain value of x, the number shoes sold, the cost of making the sneakers will be the same as the income from selling them.

Profit =
y_i-y_c

At that point the profit will be zero.


User Sreekar
by
8.3k points