请高手解答，一个经济学推导问题

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Each person has an exogenous endowment of Ω units of resources. If a person chooses to be a producer, then he or she allocates a nonnegative fraction of his or her resources to production and a nonnegative fraction of his or her resources to guarding against predators.Let G denote the ratio of the resources that a producer allocates to guarding against predators to the resources that he or she allocates to the production of consumables.
Each unit of resources can produce one unit of consumables. The number of units of consumables that a producer actually produces equals the product of Ω and the fraction of his or her resources allocated to production. Thus, a producer produces Ω/(1+G) units of consumables. 请问根据这段话，如何得到的Ω/(1+G) ，即推导过程，谢谢！

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关键词：经济学 Nonnegative CONSUMABLE production Resources she resources against produce person

挺简单的一道小学算术题啊，楼主的问题其实是在英语上么？我帮您大致翻译一下吧：假设每人拥有的外生资源量为Ω ，如果有人想做一个生产者，那么他必须要将其资源量的一部分用来生产，另一部分用来保卫自己的生产以免被掠夺，用G来表示其用于保卫的部分与其用于生产部分的比值，已知一单位的资源能够生产一单位的消费品，那么，该生产者能够生产的消费品数量为Ω/(1+G)
  楼主可以设生产者用于生产的部分为X用于保卫的部分为Y，约束条件为X+Y=Ω,Y/X=G, 一代入进去立马就能明白了。