What are the NPV for the three light systems? Please include formulas.

System I-Typical Design The Typical Design is the system currently used by GoGreen. This luminaire design uses 1000W rated lamps, which provides sufficient illumination, but consume excess encrgy.' 1 Retailers typically use higher levels of illumination than specifications to attract customers or to provide customers enhanced personal security. Since the power density of the Typical Design exceeds the design requirement specifications, another system, which is referred to as the Alternate Design that consumes less energy was selected for comparison purposes. System II-Alternate Design The Alternate Design uses less energy than the Typical Design and uses 400W rated lamps. The Alternate Design meets the parking lot requirement specifications but does not provide the high level of illumination as provided by the Typical Design. The Alternate Design uses less energy than the Typical Design but more energy than the LED Design (System III). System III-LED Design The LED Design is the most energy-efficient system but has the highest installation cost of all the systems. The high installation cost of the LED Design system is partly because of the lower level of illumination that results in more light poles required for the same size parking lot. Also, LED luminaires are costlier than the luminaires for the other two designs. COST INFORMATION Management conducted research on the costs associated with the three types of lighting systems. These costs are discussed next. Luminaire Costs Luminaires are the light fixtures attached to the top of the poles. The light fixtures include the costs of the bulbs. Below are the luminaire costs for each type of parking lot design system. These are "one time" costs and will not be incurred annually. Other Installation Costs The only installation costs, other than the luminaire costs, are material and labor costs for the poles. Since the illumination of the Alternate Design and LED Design systems is not as bright as the Typical Design, they require more poles resulting in greater pole costs. Details of material and labor costs for installation of poles for each type of parking lot design system are as follows. Energy Usage and Electricity Costs Energy usage for each type of light design system has been accumulated by company management. The estimated electricity cost to be used in the analysis is $0.08/kWh. This is a conservative estimate as the average energy cost in the United States is more than $0.10/kWh. The LED bulbs last longer than the conventional bulbs and, therefore, result in lower maintenance costs for the LED Design, Below are the annual maintenance costs of each design system. YOUR ASSIGNMENT You have been engaged as a cost consultant to help GoGreen Supereenter analyze the three different types of lighting systems for its parking lots. For the initial analysis, assume GoGreen Supercenter's cost of capital is 6%. Also, for the purpose of the cost comparison use a 10-year life for the parking lot light design system. For the purpose of brevity, ignore income taxes. Acronyms and Abbreviations kWh kilowatt-hour(s) LED light-emitting diode