The marginal cost of production (in Rs) is 3+x/3000+e^-0.003x,where x denotes the number of units. The cost of producing 100th unit is:

Answer 1

c(x) = 3 + x/3000 + e^(-.003x)
c'(x) = 1/3000 - .003e^(-.003x)

So, you can see that the cost to produce a unit consists of a fixed amount, plus a steadily decreasing variable amount as more are produced. That means that the cost of the 100th unit is

c'(100) = 1/3000 - .003e^-.3 = -.0019

Negative value? I think not. So, I must assume you were careless with your parentheses, and meant

c(x) = (3+x)/3000 + e^(-.003x)

As punishment, work out your own solution, following my steps above.