N January the company produced 3,470 units using 13,880 pounds of the direct material and 2,896 direct labor-hours. During the month, the company purchased 16,900 pounds of the direct material at a cost of $14,640. The actual direct labor cost was $103,840 and the actual variable overhead cost was $47,220. The company applies variable overhead on the basis of direct labor-hours. The direct materials purchases variance is computed when the materials are purchased. The labor rate variance for January is:

As you are trying to move a heavy box of mass m, you realize that it is too heavy for you to lift by yourself. there is no one around to , so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. you pull up on the rope to lift the box. use g for the magnitude of the acceleration due to gravity and neglect friction forces. once you have pulled hard enough to start the box moving upward, what is the magnitude f of the upward force you must apply to the rope to start raising the box with constant velocity? express the magnitude of the force in terms of m, the mass of the box.