Nadine Chelesvig has patented her invention. She is offering a potential manufacturer two contracts for the exclusive right to manufacture and market her product. Plan A calls for an immediate single lump sum payment to her of \(\$ 30,000\). Plan B calls for an annual payment of \(\$ 1,000\) plus a royalty of \(\$ 0.50\) per unit sold. The remaining life of the patent is 10 years. Nadine uses a MARR of 10 percent/year.

a. What must be the uniform annual sales volume of the product for Nadine to be indifferent between the contracts, based on a present worth analysis?

b. If the sales volume is below the volume determined in (a), which contract would the manufacturer prefer?