Math Problem.

Question

The total revenue (TR) and total cost (TC) for a product on the market is given by the following equations:

TR = 13Q – 0.2Q^2

TC = 125 + 3Q

 

Calculate the break-even point where there is no net loss or gain. In other words, state the value(s) of Q.

Answer 1

At break even point

 

TR = TC

13 Q -0.2Q² = 125 +3Q

 

0.2 Q²  -10Q +125 =0

 

solve this equation to find  Q