The process and analysis of solving a mathematical problem of calculus.

let L= profit, profit = total revenue-total cost, total revenue =P*Q

from the demand function Q=2-4P, p = 5-q/4

l = p * q-c (q) = (5-q/4) can be solved. And make it equal to

L'= -Q/2+4 = , Q=8

The maximum profit if substituted into the profit formula is L=11 or The so-called best-selling, that is, the supply is less than the balance, That is, no product backlog

can be obtained from the demand function Q=2-4P

P=5-Q/4

Let profit be Pr (from English profit), then there is

PR = PQ-C = 5Q-Q 2/4-5-1.