A clothing factory plans to manufacture special shorts and trousers. The maximum number of
garments that can be manufactured daily is 80. A maximum of 65 pairs of shorts or 45 pairs of
trousers can be manufactured daily. It takes 5 hours to manufacture a pair of shorts and 11 hours for
a pair of trousers. Moreover, the factory may not exceed 605 working hours per week.
1. Write down the constraints involved.
2. Graph the constraints and shade the feasible region.
3. If the profit is R40 on a pair of shorts and R60 on a pair of trousers, give the equation indicating
the profit P.
4. Draw the profit line on your graph.
5. Use the profit line as a search line to indicate how many pairs of shorts and trousers must be
manufactured to obtain a maximum profit.
6. Calculate the maximum profit.
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