Consider a project to supply Detroit with 30,000 tons of machine screws annually for automobile production. You will need an initial $3,800,000 investment in threading equipment to get the project started; the project will last for four years. The accounting department estimates that annual fixed costs will be $600,000 and that variable costs should be $350 per ton; accounting will depreciate the initial fixed asset investment straight-line to zero over the four-year project life. It also estimates a salvage value of $340,000 after dismantling costs. The marketing department estimates that the automakers will let the contract at a selling price of $450 per ton. The engineering department estimates you will need an initial net working capital investment of $380,000. You require a return of 12 percent and face a marginal tax rate of 38 percent on this project.

Suppose youre confident about your own projections, but youre a little unsure about Detroits actual machine screw requirement. What is the sensitivity of the project OCF to changes in the quantity supplied?

What is the sensitivity of NPV to changes in quantity supplied?

Given the sensitivity number you calculated, what is the minimum level of output below which you wouldnt want to operate?