TC=50+20q+q2TC=50+20q+q^2TC=50+20q+q2
P=100P = 100P=100
Profit=Revenue−Total costProfit = Revenue - Total \space costProfit=Revenue−Total cost
Profit=100q−(50+20q+q2)Profit = 100q - (50+20q+q^2)Profit=100q−(50+20q+q2)
Revenue=Price×QuantityRevenue = Price\times QuantityRevenue=Price×Quantity
Revenue=100×qRevenue = 100\times qRevenue=100×q
MC=20+2qMC = 20 +2qMC=20+2q
At profit max.
Price=MCPrice = MCPrice=MC
100=20+2q100 = 20 +2q100=20+2q
80=2qq=4080 = 2q\\ q = 4080=2qq=40
Revenue=100×40Revenue = 100\times40Revenue=100×40
Revenue=4000Revenue = 4000Revenue=4000
Profit max. quantity "40" and revenue "4000"
Need a fast expert's response?
and get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!
Comments