An electrical manufacturer produces three products:  clocks, radios, and toasters.  These products have the following resource requirements:


                    Cost/Unit($)                   Labor/Unit(hr)

Clock                    7                            2

Radio                    10                          3

Toaster                  5                            1


Maximum daily demand for clocks, radios, and toasters is 200, 300, and 150 respectively.  The manufacturer has a daily production budget of $2000 and at most 600 hours of labor.  In-process inventory space is available for a combined total of 500 units.  Selling prices are $15 for a clock, $20 for a radio, and $12 for a toaster.  The manufacturer desires to know the optimal product mix that will maximize profit.


Construct the linear programming model.