The Carroll Broom Company is thinking of purchasing a new automatic straw-binding machine. The company president, Joan Carroll, has determined that such a machine would save the company $\$ 10,000$ per year in labor costs. The machine would cost $\$ 46,500$ and would have a useful life of 10 years and a scrap value of $\$ 500$. The machine would require servicing after 5 years at a cost of $\$ 1,000$. Carroll uses a discount rate of 16 percent. Compute the net present value. From a quantitative standpoint, should the machine be purchased?