Economics question that uses calculus?

Question

The marginal profit at x is defined as the instantaneous rate of change of profit with respect to the number x of items produced.

Suppose that the total profit in hundreds of dollars from selling x items is given by

P(x)=2 ·x^2−3 ·x+3 .

The mariginal profit when x= 2 units are sold equals ??? dollars/(unit of production).

Answer 1

Albeit this is basic algebra, and also a basic high school economic question, it can be answered with a basic calculator also. Which I suppose for 10 points I will do now for you.......

2*2^-1*2+3 which comes out to.....

3.25

if you didn't mean 2*x^(2-3)*x+3 and instead meant  2*x^(2)-3*x+3 the answer is.....

5

Answer 2

TP-Total profit

MP-Marginal profit

MP=(TP)'=(2x^2-3x+3)' = 4x-3

MP=4x-3

x=2

MP(2)=4*2-3=8-3 =5

Answ MP(2)=5