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You are assigned the task of buying cabinets for a large storage room. The cabinets come in two styles, A and B. Here are the

You are assigned the task of buying cabinets for a large storage room. The cabinets come in two styles, A and B. Here are the details: Cabinet A costs $100, takes up 6 m2 of floor space and has a storage volume of 9 m3; Cabinet B costs $200, takes up 8 m2 of floor space and has a storage volume of 7 m3. 

You have $3800 to spend and 192 m2 of available floor space. How many units of each style should you buy in order to maximize the storage volume?

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