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.