A company needs to decide if it will move forward with two new products that it is evaluating. The two initiatives have the following cash flow projections: Project A Year 0 1 2 3 4 Cash Flow -800,000 220,000 265,000 292,000 317,000 Project B Year 0 1 2 3 4 5 Cash Flow -650,000 175,000 175,000 175,000 175,000 175,000 Based on the risk of each project, the company has a required rate of return of 11% for Project A and 11.5% for Project B. The company has a $1.5 million budget to spend on new projects for the year. Should the company move forward with one, both, or neither of the two new products? Show your work to support your answer.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Where’s the problems ? ?

Set up a system of equations