Find the net present value of a project that has cash flows of −$12,000 in Year 1, +$5,000 in Years 2 and 3, −$2,000 in Year 4, and +$6,000 in Years 5 and 6. Use an interest rate of 12%. Find the interest rate that gives a net present value of zero.

Miller mfg. is analyzing a proposed project. the company expects to sell 14,300 units, plus or minus 3 percent. the expected variable cost per unit is $15 and the expected fixed cost is $35,000. the fixed and variable cost estimates are considered accurate within a plus or minus 3 percent range. the depreciation expense is $32,000. the tax rate is 34 percent. the sale price is estimated at $19 a unit, give or take 3 percent. what is the net income under the worst case scenario?