Estimate material for a project - We need to make 75 plaques that are 12 inches wide and 15 inches long. The material available is maple and walnut. Walnut is 10 inches wide by 8 feet long, Maple is 8 inches wide by 8 feet long. How many boards of each do we need?

To save energy, the air supply to a 2000 ft office has been shut off overnight and the room temperature has dropped to 40°f. in the morning, the thermostat is reset to 70°f and warm air at 120 f begins to flov in at 200ft'/min. the air is well mixed within the room, and an equal mass flow of air at room temperature (changing with time) is withdrawn through a return duct. the air pressure is nearly 1 atm everywhere. ignoring heat transfer with the surroundings and kinetic and potential energy effects, estimate how long it takes for the room temperature to reach 70°f. plot the room temperature as a function of time.