# Thread: Linear Regression Problem Solving Help

1. ## Linear Regression Problem Solving Help

Problem.

The linear regression model of the cost C (in thousands of dollars) for the production of x toasters was found to be C(x) = 4x + 50

Question:

How many toasters must be sold for the cost to be less than $140000.00? I understand we could solve for x if the cost is 140000. Subtract 1 from x and surely the cost would be less then 140000 but that doesnt make sense for linear regression . Could someone please help me understand how i would go abouts doing this? Thanks alot. 2. Originally Posted by irenavassilia Problem. The linear regression model of the cost C (in thousands of dollars) for the production of x toasters was found to be C(x) = 4x + 50 Question: How many toasters must be sold for the cost to be less than$140000.00?

I understand we could solve for x if the cost is 140000. Subtract 1 from x and surely the cost would be less then 140000 but that doesnt make sense for linear regression . Could someone please help me understand how i would go abouts doing this?

Thanks alot.
Hi irena,

According to the information you have given, you have a cost functions $c(x)=4x+50$. If x represents the number of toasters, then $c(x)<140000$ will answer your question.

$4x+50<140000$

$4x<139950$

$x<34987.5$

Since you can't produce half a toaster, the answer would be $x<34987$