A corporation plans on building a maximum of 11 new stores in a city. They will build these stores in one of three sizes for each location – a convenience store (open 24 hours), standard store, and an expanded services store. The convenience store requires 4125 to build and 15 employees to operate. The standard store requires 8250 to build and 30 employees to operate. The expanded-services store requires 12375 to build and 45 employees to operate. The corporation can dedicate 82500 in construction capital, and 300 employees to staff the stores. On the average, the convenience store nets 12000 annually, the standard store nets 20000 annually, and the expanded services store nets 26000 annually. How many of each should they build to maximize revenue?

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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A corporation plans on building a maximum of 11 new stores in a city. They will build these stores in one of three sizes for each location – a convenience store (open 24 hours), standard store, and an expanded services store. The convenience store requires 4125 to build and 15 employees to operate. The standard store requires 8250 to build and 30 employees to operate. The expanded-services store requires 12375 to build and 45 employees to operate. The corporation can dedicate 82500 in construction capital, and 300 employees to staff the stores. On the average, the convenience store nets 12000 annually, the standard store nets 20000 annually, and the expanded services store nets 26000 annually. How many of each should they build to maximize revenue? 

 

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