1.Assume the production cost (dollars/unit) for a manufacturing unit of a certain product is given by f (x) = 2(1+x) e^-x + 5+250 where x is the number of units.

(a)Show that the marginal cost of the production will be increased to a certain value of x, and then decreasing from there on. You can consider x a continuous variable. For instance, it is alright to have x=0.1, partial unit of the product. In a practical application, you can always rounded your final calculated result in a whole unit (e.g., x=0.85 as x=1 unit).

(b)Explain (no actual calculation is required) how you will determine at what level of production that will have the minimum marginal cost.