A trash company is designing an open-top, rectangular container that will have a volume of 6655 it". The cost of making the bottom of the container is $5 per square foot, and the cost of the sides is $4 per square foot. Find the dimensions of the container that will minimize total cost. LXWXH= AxAx A flat metal plate is mounted on a coordinate plane. The temperature of the plate, in degrees Fahrenheit, at point (x.y) is given by 2x + y -12x + By Find the minimum temperature and where it occurs. Is there a maximum temperature? Determine the minimum temperature and its location. Select the correct choice below and fill in any answer boxes within your choice, O A. The minimum temperature is Fat (xy)= (Simplify your answers.) O B. There Is no minimum temperature The population density of a city is given by P(xy) = -20x -20y + 280x + 400y + 150. where x and y are miles from the southwest corner of the city limits and P Is the number of people per square mile. Find the maximum population density, and specify where it occurs The maximum density Is people per square mile at (x y) = 1