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A manufacturing company, called Vista, produces three products A, B, and C. The labour and material resources required to produce them are shown in Table

A manufacturing company, called Vista, produces three products A, B, and C. The labour and material resources required to produce them are shown in Table 1. For example, producing 1 kg of product A requires 2 units of labour and 1 unit of material. The company has 91.5 units of labour and 49.5 units of material available daily. According to market demand, the company stipulates the maximum and minimum daily production volume of each product as shown in Table 2. E.g., for product A, the company needs to produce between 5 kg and 32 kg per day. Product A is the company's main product, so the company emphasises that in terms of daily production volume, product A must account for at least 80% of all products. The company wants to maximise its profit. Profits for products B and C are $15/kg and $20/kg, respectively. Product A is sensitive to an uncontrollable environmental factor which has two possible states, i.e., S1 and S2. Product A's profit in those two possible states is $5/kg and $15/kg, respectively

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