You are taking a road trip in a car without A/C. The temperture in the car is 105 degrees F. You buy a cold pop at a gas station. Its initial temperature is 45 degrees F. The pop's temperature reaches 60 degrees F after 11 minutes. Given that T - A = ekt To - A where T = the temperature of the pop at time t. To = the initial temperature of the pop. A = the temperature in the car. k = a constant that corresponds to the warming rate. and t = the length of time that the pop has been warming up. How long will it take the pop to reach a temperature of 78.75 degrees F? It will take minutes.The Acme Widget Company has found that if widgets are priced at $ 183, then 1000 will be sold. They have also found that for every increase of $ 15, there will be 400 fewer widgets sold. The marginal cost of widgets is $ 64.05. The fixed costs for the Acme Widget Company are $ 6000. If a represents the price of a widget find the following in terms of :: The number of widgets that will be sold: The revenue generated by the sale of widgets: The cost of producing just enough widgets to meet demand: The profit from selling widgets: Find the price that will maximize profits from the sale of widgets