A clothing design company pays two different people to design its T-shirts, The company pays person A $10 an hour and pays person B $12. Person A cannot work more than 5 more hours than person B, but they cannot work more than 30 hours total. Person A makes the company a profit of $15 an hour, and person B makes the company a profit of $20 an hour. If the company wants to make at least $250 in profit, which value will minimize the cost to the company? (Each point is (a, b), where a is the hours person A works and bis the hours person B works.) A(0, 30)
B(17.5, 12.5)
C(10, 20)
D(0, 12.5)​