given the profit function px x282x2200 a find the marginal p
given the profit function p(x)= -x^2+82x+2200
a) find the marginal profit P\'(x):
b) find P\'(30) and P\'(70)
c) expalin the significance
a) find the marginal profit P\'(x):
b) find P\'(30) and P\'(70)
c) expalin the significance
Solution
a) find derivative: -2*x+82 b) plug in 30 and 70 into the equation we derived above. -2*30+82=22. -2*70+82=-58. P\'(30)=22 and P\'(70)=-58 c) this is the profit of producing the 30th and 70th units respectively.