The demand curve facing a monopoly is P= 100 +5Q. The firm cost is c(Q)=10+5Q. What is profit maximising output?
Given;
"P= 100 +5Q."
"c(Q)=10+5Q."
"TR=P\\times Q\\\\=(100+5Q)Q\\\\=100Q+5Q^2\\\\MR=100+10Q"
"c(Q)=10+5Q\\\\MC=5"
The profit is maximized by producing at a point where MC=MR
"5=100+10Q\\\\-95=10Q\\\\Q=-9.5"
Comments
Leave a comment