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The Trotter Group has three divisions, X, Y and Z. The group wants to increase overall production capacity per year by up to 12,000 hours. One part of the strategy will be to require that the minimum increase in any one division must be equal to 10% of its current capacity. The maximum funds available for the expansion programme are $1m. In division X, the existing capacity is 10,000 hours, the investment cost per hour is $80 and the average contribution per hour is $78. In division Y, the existing capacity is 20,000 hours, the investment cost per hour is $150 and the average contribution per hour is $140. In division Z, the existing capacity is 50,000 hours, the investment cost per hour is $100 and the average contribution per hour is $200. A linear programme of the plan has been prepared to find the strategy that will maximise additional contribution per annum. What is the objective function? A. Maximise P (production capacity) = 11,000 X + 22,000Y + 55,000Z B. Maximise C (contribution) = 80X + 150Y + 100Z C. Maximise P (production capacity) = 10,000X + 20,000Y + 50,000Z D. Maximise C (contribution) = 78X + 140Y + 200Z |