The gogo bunny is a hot toy this christmas and the


The GoGo Bunny is a hot toy this Christmas, and the manufacturer has decided to ration supply to all retailers. A large retail chain owns two channels—a discount channel and a high-service channel. The retailer plans to sell the toy at a margin of $4 in the discount channel and a margin of $8 in the high-service channel. The manufacturer sends 100,000 GoGo Bunnies to the retailer. The retailer has forecast that the demand for the toy at the high-service channel is normally distributed, with a mean of 400,000 and a standard deviation of 150,000. How many toys should the retailer send to the high-service channel?

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