A carpenter manufactures chairs and tables. It takes them 3 hours to make a table and 3.5 hours to make a chair. In a month, they do not work for more than 180 hours. On each table, they earn $30, and on each chair, they earn $38. In a month, they want to earn at least $1500. If they manufacture t tables and c chairs in a month, which pair of inequalities represent the correct relationship?

A. 3t+3.5c< 180
30t+38c 1500
B. 3t+3.5c 180
30t+38c≥ 1500
C. 3t+3.5c 180
30t+38c 1500
D. 3t+3.5c 180
30t+38c> 1500​