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Example 1: profit maximization A company has two types of products: P, Q Profit: P---$1 each; Q---S6 each Constraints a Daily productivity(including both P and Q)is 400 a daily demand for P is 200 a daily demand for Q is 300 Question How many P and o should we produce to maximize the profit? o x, units of P. x, units of qExample 1: profit maximization ◼ A company has two types of products: P, Q. ◼ Profit: P --- $1 each; Q --- $6 each. ◼ Constraints: ❑ Daily productivity (including both P and Q) is 400 ❑ Daily demand for P is 200 ❑ Daily demand for Q is 300 ◼ Question: How many P and Q should we produce to maximize the profit? ❑ 𝑥1 units of P, 𝑥2 units of Q 3
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