For questions 8 - 10 use the following information. Duke Energy decides to encourage home owners to install solar panels on the roofs of their homes by selling home solar panels to consumers in their service area. Consider the following estimate of the demand equation for home solar panels: Q =1250 - 1 20 P + 500PE where Q is the number of solar panels that are purchased, P is the price of solar panels, and PE is the average cost per kilowatt-hour of electricity. (You can assume that the price of the panels includes installation, so that anyone who purchases solar panels actually gets them installed on their roof.) For the purposes of this question, you can assume that consumers in the Duke Energy service area do not have good options for buying solar panels other than the ones offered by Duke Energy