Udanis imports two types of cloths, one from China and the other from Indonesia to be sold in Malaysia market. The China cloth costs RM4/meter and the Indonesian cloth costs RM3/meter. It has been estimated that if the China cloth sells for p RM/meter and the Indonesian cloth sells for q RM/meter, then
2000 – 150p +100q
meters of the China cloth and
1000 + 80p – 120q
meters of the Indonesian cloth will be sold each week. Determine the unit price for each cloth that will allow Udanis to realize the largest possible weekly profit. What is the maximum profit realizable?