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:

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.

To find the cost of producing the 100th unit, you need to substitute the value of x as 100 into the given marginal cost of production equation.

Given: Marginal cost of production = 3 + x/3000 + e^(-0.003x)
Substituting x = 100:
Marginal cost of production = 3 + 100/3000 + e^(-0.003 * 100)

First, let's simplify the equation:
Marginal cost of production = 3 + 1/30 + e^(-0.3)

Next, we need to calculate the value of e^(-0.3). To do this, we use the exponential function on a scientific calculator or an online calculator:
e^(-0.3) ≈ 0.7408

Substituting this value back into the equation:
Marginal cost of production = 3 + 1/30 + 0.7408

Next, calculate 1/30:
1/30 = 0.0333

Substituting this value back into the equation:
Marginal cost of production = 3 + 0.0333 + 0.7408

Finally, add up all the values:
Marginal cost of production = 3.7741

Therefore, the cost of producing the 100th unit is approximately Rs 3.7741.