You own a company that makes organs and pianos. Each week you make at least 6 organs and at least 4 pianos. You company can make at most 16 of the instruments in a week. The profit on a piano is $40 and on an organ it is $30. You wish to maximize profit.

The objective function for this situation is P = 30x + 40y. What (x, y) pair maximizes profit
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(12, 4)

(16, 0)

(6, 4)

(6, 10)