ANSWERS: 1
  • fuel cost per hour = k speed^2 48 = k 16^2 k = 48/256 = 3/16 distance = speed * time for a given distance and speed, time = distance/speed fuel cost in that time = fuel cost per hour * time = fuel cost per hour * distance/speed = k * speed * distance additional cost = 300 per hour = 300 * distance/speed total cost = (3/16)*speed*distance + 300*distance/speed total cost per mile = (3/16)*speed + 300/speed d/dspeed = (3/16) - 300/speed^2 = 0 at an extremum of cost. speed = 40 mph

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