A firm is considering adding a second secretary to answer phone calls and make
appointments. The cost of the secretary will be $10/hour and she will work 200 hours
each month. If each new client adds $400 of profit to the firm, how many clients must
the secretary arrange for the firm to break even? Suppose that the secretary has an equal
chance of providing either 0, 2, or 6 new clients each month. Should the firm hire the
secretary?
A manager is applying the transportation model of linear programming to solve an
aggregate planning problem. Demand in period 1 is 100 units and in period 2 demand is
150 units. The manager has 125 hours of regular employment available for $10/hour
each period. In addition, 50 hours of overtime are available for $15/hour each period. If
holding costs are $2 per unit each period, how many hours of regular employment
should be used in period 1 (assume demand must be met in both periods 1 and 2 for the
lowest possible cost and that production is 1 unit per hour)?