First, we need to find the quantity Q by setting the two price functions equal to each other:
20 = 8 - 4Q4Q = 12Q = 3
Now that we have the quantity, we can find the total revenue (TR), total cost (TC), and profit (П).
TR = P QTR = 20 3TR = 60
TC = 49 + Q + Q^2TC = 49 + 3 + 3^2TC = 49 + 3 + 9TC = 61
П = TR - TCП = 60 - 61П = -1
Therefore, the total revenue is 60, total cost is 61, and the profit is -1. This means that the firm is operating at a loss.
First, we need to find the quantity Q by setting the two price functions equal to each other:
20 = 8 - 4Q
4Q = 12
Q = 3
Now that we have the quantity, we can find the total revenue (TR), total cost (TC), and profit (П).
TR = P Q
TR = 20 3
TR = 60
TC = 49 + Q + Q^2
TC = 49 + 3 + 3^2
TC = 49 + 3 + 9
TC = 61
П = TR - TC
П = 60 - 61
П = -1
Therefore, the total revenue is 60, total cost is 61, and the profit is -1. This means that the firm is operating at a loss.