Question: 2. Happy, Grumpy, Dopey, Sleepy, Sneezy, Bashful and Doc are miners who have nothing to do with their time but go mining. There are no

2. Happy, Grumpy, Dopey, Sleepy, Sneezy, Bashful

2. Happy, Grumpy, Dopey, Sleepy, Sneezy, Bashful and Doc are miners who have nothing to do with their time but go mining. There are no other miners in the vicinity. Each miner can dig in either of two mines. The number of gold nuggets a miner can find in a day depends both on which mine he is working and how many other miners are present in that mine, as indicated by the following chart: Number of Miners 1 2 3 4 5 6 7 Nuggets/Day in Mine A 20 18 16 14 12 10 8 Nuggets/Day in Mine B 30 27 24 21 18 15 12 A. If entry into the mines is free, how many miners will work in each mine? How many nuggets will be mined? B. At the social optimum (where the maximum number of nuggets total are mined), how many miners work in each mine and how many nuggets are mined? C. Suppose the wicked queen could set entry fees to the mine. What entry fees would she set

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