The cost of producing x ukits of some products is c(x) =100x + 200.000 while the revenu r(x) = -0.02x^2 +400x find profit and marginal profit . Determine marginal profit at level of prodction x=2000

Question

The cost of producing x unit of some products is c(x) =100x + 200.000 while the revenu r(x) = -0.02x^2 +400x find profit and marginal profit . Determine marginal profit at level of prodction x=2000

Answer 1

Profit:

P(x) = r(x)-c(x) = -0.02x²+400x - (100x +200000) = -0.02x²+300x-200000

Marginal Profit:

P'(x) = -0.04x+400

P'(2000) = -0.04(2000)+400 = 320