Question

ТС= 49+Q+Q^2 P=20 P=8-4Q TR-? TC-? П-?

Answer 1

Q=(P-8)/8=20-8/4=3

Tc=49+3+3^2=60

Try=P×Q=20×3=60

П=60-60=0

Answer 2

Given the following information:

• Total Cost (TC) function: TC = 49 + Q + Q^2
• Price (P) function: P = 20 and P = 8 - 4Q
• To find: Total Revenue (TR), Profit (П)

To find Total Revenue (TR), we need to know the quantity sold, which can be calculated by equating the two price functions:

20 = 8 - 4Q 4Q = 12 Q = 3

So the quantity sold is 3. Now we can calculate Total Revenue (TR) as:

TR = P × Q TR = 20 × 3 TR = 60

Therefore, Total Revenue is 60.

To find Total Cost (TC) at Q = 3, we can substitute Q = 3 into the TC function:

TC = 49 + Q + Q^2 TC = 49 + 3 + 3^2 TC = 49 + 3 + 9 TC = 61

Therefore, Total Cost is 61.

To find Profit (П), we need to subtract Total Cost (TC) from Total Revenue (TR):

П = TR - TC П = 60 - 61 П = -1

Therefore, Profit is -1, which means the company is making a loss.