Question: Apply linear programming to this problem. David and Harry operate a discount jewelry store. They want to determine the best mix of customers to serve

Apply linear programming to this problem. David and Harry operate a discount jewelry store. They want to determine the best mix of customers to serve each day. There are two types of customers for their store, retail (R = number of retail customers served) and wholesale (W = number of wholesale customers served).

The cost to serve a retail customer is $70 and the cost to serve a wholesale customer is $89. The average profit from either type of customer is the same. To meet headquarters' expectations, they must serve at least 8 retail customers and 12 wholesale customers daily. Also, in order to cover their salaries, they must at least serve 30 customers each day.

Which of the following is one of the constraints for this model? (">=" means "greater than or equal to", and "<=" means "less than or equal to")

1 R + 1 W <= 8
1 R >= 12
8 R + 12 W >= 30
1 R + 1 W >= 30
20 (R + W) >= 30

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