Answer:
<u>Break Even point </u>Q = 500000
<u>Shut Down Point </u> P < 5
Explanation:
<u>Break Even point</u> is where Total Revenue = Total Cost.
Total cost = 500000 + 5Q, price = 6 (Given) , Total revenue = Price x quantity
So, TR = TC implies : 500000 + 5Q = 6Q → 500000 = 6Q - 5Q
Q = 500000
<u>Shut Down Point </u>is where firm's Price is < its Average Variable Cost .
AVC is the variable cost on per unit output, is found out by average of variable component of cost function. C = 500000 + 5Q implies variable cost = 5Q , so AVC = 5Q / Q = 5
So, the firm would shut down if its price would go below AVC , ie if P < 5