The cost of manufacturing x units of a product can be modeled by C(x) = x3 − 11x + 16. Evaluate C(x) for x = 50, and describe what...

The cost of manufacturing x units of a product can be modeled by `C(x)=x^3-11x+16 ` .We are asked to evaluate C(x) for x=50 and explain what this represents:

Evaluating C(x) at x=50:

`C(50)=(50)^3-11(50)+16 ` we substitute 50 for x

C(50)=124466

We are not given the monetary units (dollars, euros, thousands of pounds, etc...) If we assume that the cost is in dollars, then it will cost $124,466 to produce 50 items.

(It would be an interesting discussion to place the type of product this would have to be, or the domain for the model. There aren't many items that cost less than $10 to produce 1 or 2, but over a hundred thousand dollars to produce 50. Maybe the produce has a relatively rare component -- easy to get at first but costly as you request more?)