Yosef Company is considering the purchase of a new machine. The invoice price of the new machine is $122,000, freight charges are estimated to be $3,000, and installation costs are expected to be $5,000. Salvage value of the new machine is expected to be zero after a useful life of 4 years. Existing equipment could be retained and used for an additional 4 years if the new machine is not purchased. At that time, the salvage value of the equipment would be zero. If the new machine is purchased now, the existing machine would be scrapped and has zero scrap value. Yosef's accountant, Danielle Boone, has accumulated the following data regarding annual sales and expenses with and without the new machine. A. Without the new machine, Yosef can sell 10,000 units of product annually at a per unit selling price of $100. If the new unit is purchased, the number of units produced and sold would increase by 25%, and the selling price would remain the same. B. The new machine is faster than the old machine, and it is more efficient in its usage of materials. With the old machine the gross margin rate will be 28.5% of sales, whereas the rate will be 30% of sales with the new machine. (Note: These gross margin rates do not include depreciation on the machines. For purposes of determining net income, treat depreciation expense as a separate line item.) C. Annual selling expenses are $160,000 with the current equipment. Because the new equipment would produce a greater number of units to be sold, annual selling expenses are expected to increase by 10% if it is purchased. D. Annual administrative expenses are expected to be $100,000 with the old machine, and $112,000 with the new machine. E. The current book value of the existing machine is $40,000. Yosef uses straight-line depreciation. F. Yosef's management has a required rate of return of 15% on its investments and a cash payback period of no more than 3 years. Required (Ignore income taxes in this problem.): 1. Calculate the average rate of return for the new machine. (Round to two decimals.) 2. Compute the cash payback period for the new machine. (Round to two decimals.) 3. Compute the internal rate of return of the new machine. (Round to two decimals.) Note: Since the textbook present value tables are limited, you should use a financial calculator or Excel to compute the internal rate of return. 4. Compute the net present value of the new machine. (Round to the nearest dollar.) 5. Based on the foregoing data, would you recommend that Yosef buy the new machine? Why?