[jennjenn81]

A company uses the function C(x)=0.01x2-1.2x+1000 to model the unit cost in dollars for producing x motors. Answer the following question; 1: For what number of motors is the unit cost at its minimum? 2: What happens if you produce 1 motor more or 1 motor less what the number of motors found in the first part of the problem. Discuss the effect of this change with your learning team.

[ebaines]

We're not going to do your homework for you. But here's a hint:

1. Take the derivative of the cost function with respect to x, then set it to zero. This will give you either a local minimum or maximum. To make sure it's a minimum, evaluate the 2nd derivative for this value of x; it should be a positive number if this point represents a minimum.

For the second part compare the C functions for the value x you found in the first part to the value of x+1 and x-1. How does cost change by making one more or less?