Your company wants to build a new plant in China to increase its capacity for producing a new polymer that is being used widely in consumer goods there. To build the plant, the company would need to pay $180,000,000 now, $140,000,000 at the beginning of next year (i.e. or you can think of it as the end of the first year, whichever you like), and $120,000,000 at the end of the second year to have the plant built. It will be ready to begin operations on the first day of the third year after construction starts (i.e. at end of the second year of construction). Each year it operates, the company will need to take charges at the beginning of the year of $25,000,000 for raw materials, utilities, and labor charges to make product for that year. The company can take sales revenues of $100,000,000 at the end of each year of production year of operation. Assume that the plant will have 20 years of operation and production (i.e. you will have 20 times to pay the production expenses at the beginning of each operational year and 20 times you will take sales revenues at the end of each year of operation). So it looks like your company would spend a total of $440M and earn a total net profit over the 20 year life of the plant of $1,500M which sounds very attractive. Assume that your company demands an equivalent annual effective interest rate of 12% on its investments. Answer the following questions: 1. Draw a Cash Flow Diagram for this situation. 2. Using a Present Value Cash Flow Diagram and a Net Present Value analysis, should the company build the plant? Justify your answer with a brief explanation based on your NPV analysis. Show what the non-discounted and discounted payback period is for this case. 3. A risk analysis person at your company does an analysis of long term market conditions for the product and recommends that your company require a 15% investor's rate of return (IRR) which means that you can evaluate this using an effective interest rate of 15% on the investment when calculating the discount factors. Should your company build the plant in this case? Be sure to justify your answer based on both NPV and discounted payback period