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QUESTION 1 [10 Marks] a) Clipco produces three types of clips on two different production lines. Eight workers can utilize each production line at a time. Workers are paid R500,00 per week on production line 1, and R900,00 per week on production line 2. During a week on a production line, each worker produces the number of units of clips shown in Table 1. Each week, at most 200 units of clip 1, at most 170 units of clip 2, and at most 150 units of clip 3 must be produced. Table 1: Production of clips data Clip Production Line 1 2 3 1 20 30 40 2 50 35 45 Formulate an integer programming (IP) problem to minimize the weekly costs of meeting demand