3. Which set of constraints will determine a bounded feasible region? 2x-4s y A) 4-4ysx x 20 2x-45 y B) 4-4yr x20 2x-42 y C) 4-4ysx x20 20-42 y D) 4-4yr x20 E) none of these

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3. A company manufactures two products (A and B) and the profit per unit sold is $3 and $5 respectively. Each product has to be assembled on a particular machine, with each unit of product A taking 12 minutes of assembly time and each unit of product B taking 25 minutes of assembly time. The company estimates that the machine used for assembly has an effective working week of only 30 hours (due to maintenance/breakdown). Technological constraints mean that for every five units of product A produced at least two units of product B must be produced. Which system of inequalities will describe the constraints in this problem, if x, is the number of units of product A produced, and x, is the number of units of product B produced in a week? 25x4 +12x, 51800 12x, +25x, S1800 12x, +25x, s1800 A) 5x, 22x B) 2x, 25x C) 5x + 2x XA20, X20 X20, X, 20 120, X20 25x, +12x, 51800 D) 2x 25x4 E) none of these XA20, X720

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3. Which set of constraints will determine a bounded feasible region? 2x-4s y A) 4-4ysx x 20 2x-45 y B) 4-4yr x20 2x-42 y C) 4-4ysx x20 20-42 y D) 4-4yr x20 E) none of these

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