The equation for the total revenue earned by a company for selling widgets is p=3q. The equation for the total cost of the company for producing widgets is p=q+4.

Identify the break-even quantity.

break-even is where revenue = costs, so

3q = q+4
q=2

Minding my p's and q's, I would say:

if p = 3q
in p = q+4
3q = q+4
2q = 4
q = 2
then p = 6

4^-1.5

To identify the break-even quantity, we need to find the value of 'q' where the total revenue (p) equals the total cost.

Given:
Total Revenue (p) = 3q
Total Cost (p) = q + 4

In order to find the break-even quantity, we need to set the equation for the total revenue equal to the equation for the total cost:

3q = q + 4

Now, we can solve this equation to find the value of 'q' that satisfies the break-even condition:

3q - q = 4
2q = 4
q = 2

Therefore, the break-even quantity is 2.