An engineering office produces three brands A, B, and C of cement. To determine the marketability of the products, some samples were sent out. The result of the survey revealed that 250 customers liked brand A, 240 liked B, 100 liked A only, 50 liked A and B, but not C. 250 liked A or B, but not C, 128 liked C, but disliked A or B. 65 customers liked A and C, but not B and 17 liked none.
Determine:
1. The number of customers that liked the three brands
2. The number of customers that liked brand B and C only
3. The number of customers that were interviewed
4. The number of customers that liked brand A or C but not B
5. If the company is willing to introduce only two brands into the market, which brands would you recommend?
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