There are 200 workers in a weaving factory. In order to improve the operation, a clothing project is added. It is known that each worker can weave 30 meters of cloth every day, or make 4 pieces of cloth from the cloth he weaves. One piece of cloth is 1.5 meters. If the cloth is sold directly, the profit will be 2 yuan per meter of cloth. If the cloth is sold after being made into clothes, the profit will be 25 yuan per piece. If each worker can only do one job a day, and other factors are not taken into account, X worker system is set up Then: (1) the profit of making clothes in one day is p = 0___ (2) the profit from the sale of surplus cloth in a day is q =___ (3) when 166 workers are assigned to make clothes, what is the total profit w (yuan)? Can 167 workers be arranged to make clothes to increase profits? Try to explain the reason

There are 200 workers in a weaving factory. In order to improve the operation, a clothing project is added. It is known that each worker can weave 30 meters of cloth every day, or make 4 pieces of cloth from the cloth he weaves. One piece of cloth is 1.5 meters. If the cloth is sold directly, the profit will be 2 yuan per meter of cloth. If the cloth is sold after being made into clothes, the profit will be 25 yuan per piece. If each worker can only do one job a day, and other factors are not taken into account, X worker system is set up Then: (1) the profit of making clothes in one day is p = 0___ (2) the profit from the sale of surplus cloth in a day is q =___ (3) when 166 workers are assigned to make clothes, what is the total profit w (yuan)? Can 167 workers be arranged to make clothes to increase profits? Try to explain the reason

(1) (2) [30 × (200-x) - 4x × 1.5] × 2 = 12000-72x; (3) when x = 166, w = P + q = 100x + 12000-72x = 16648 (yuan); if 167 workers are arranged to make clothes, 33 workers can't weave enough cloth to make clothes, resulting in idleness