Byron's Manufacturing makes tables. Demand for the next four months and capacities of the plant are shown in the table below. Unit cost on regular time is $$40.$ Overtime cost is $150\%$ of regular time cost. Subcontracting is available in substontial quantity at $$75$ per unit. Holding costs are $55$ per table per month: back orders cost the firm $$10$ per unit per month. Byron's management believes that the fronsportation algorithm con be used to optimize this scheduling problem. The firm has $50$ units of beginning inventory and anticipates no ending inventory.