*****Answer number 1 only

A municipal solid waste site must be located outside Anytown or Yourtown. After sorting, some of the solid refuse will be transported to an electric power plant where it will be used as fuel. Data for the hauling of refuse from each town to the power plant is shown below: Anytown Yourtown Average hauling distance 4 miles 3 miles Annual rental fee for solid waste site $ 5,000 $ 100,000 Hauling cost $ 1.50 / cu.yd. - mile $ 1.50 / cu. yd - mile 1. If the power plant will pay $ 8.00 per cubic yard of sorted solid waste delivered to the plant, where should the solid waste site be located? Use the town's viewpoint and assume that 200,000 cubic yards of refuse will be hauled to the plant for one year only. One site must be selected. 2. Referring to the electric power plant above, the cost Y in dollars per hour to produce electricity is Y = 12 + 0.2X + 0.27X2, where X is in megawatts. Revenue in dollars per hour from the sale of electricity is 16X -0.2x2. Find the value of X that gives the maximum profit