Suppose you are the manager of a firm. The accounting department has provided cost estimat...

Suppose you are the manager of a firm. The accounting department has provided cost estimates, and the sales department sales estimates, on a new product. You must analyze the data they give you, determine what it will take to break even, and decide whether to go ahead with production of the new product. (See Example.)

Cost is C(x) = 125x + 42,000 and revenue is R(x) = 165.5x; no more than 2000 units can be sold.

Example

Find the break-even point for the company in Example 6.