A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3 for A, $6 for B, and $15 for C. The production requirements and departmental capacities are as follows: Department Production requirement Departmental capacity by product (hours) (Total hours) A B C Assembling 2 3 2 30,000 Painting 1 2 2 38,000 Finishing 2 3 1 28,000 What is the maximum profit in this model? $95,000 $225,000 $57,000 $75,000