Let X and Y denote whether or not to build a factory in Japan and China, respectively. Suppose that X and Y are both binary variables. Suppose that the factory in Japan can produce up to 1000 units of IC chips if it is to be built. However, when factories are built in both Japan and China, the capacity in Japan will be reduced to 500 units. Let Z be the number of IC chips to be produced in Japan. Which of the following constraints can be used for the capacity constraint in Japan? Z <=1000X – 500Y OZ <=1000X – 500Y + 500(1-X) Z <=1000X – 500(1-Y) OZ <=1000X + 500(1-X) None of Above
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