A company has 12 and 6 machines in warehouse A and B respectively. First, it needs to transfer 10 machines to county a and 8 machines to county B Set X machines transferred from warehouse A to county a (1) How many machines should be transferred from warehouse B to county a (2) If the freight for transporting a machine from warehouse A to county a is 300 yuan, the freight for transporting a machine from warehouse B to county B is 500 yuan County freight is 400 yuan, to B county freight is 500 yuan (3) Under the condition of (2), if the total freight does not exceed 7200 yuan, there are several kinds of transportation schemes; find out the lowest total freight, and write out the transportation scheme of the lowest freight

A company has 12 and 6 machines in warehouse A and B respectively. First, it needs to transfer 10 machines to county a and 8 machines to county B Set X machines transferred from warehouse A to county a (1) How many machines should be transferred from warehouse B to county a (2) If the freight for transporting a machine from warehouse A to county a is 300 yuan, the freight for transporting a machine from warehouse B to county B is 500 yuan County freight is 400 yuan, to B county freight is 500 yuan (3) Under the condition of (2), if the total freight does not exceed 7200 yuan, there are several kinds of transportation schemes; find out the lowest total freight, and write out the transportation scheme of the lowest freight


1、
10-x
2、
If x machines are transferred from warehouse A to county a, then 12-x machines will be transferred from warehouse A to county B
If 10-x machines are transferred from B warehouse to a county, B will go to B County x-4
Freight:
300x+500(12-x)+400(10-x)+500(x-4)
=300x+6000-500x+4000-400x+500x-2000
=8000-100x
3、
8000-100x≤7200
The solution is x ≥ 8
If 10-x ≥ 0, then x ≤ 10
So 8 ≤ x ≤ 10
That is, x = 8,9,10
Scheme 1: from a to a: 8 to B: 4
B to a: 2 to B: 4
Scheme 2: from a to a: 9 to B: 3
B to a: 3 to B: 3
Scheme 3: from a to a: 10 sets to B: 2 sets
B to a: 0 to B: 6



There are 12 transporters and 6 transporters in a and B warehouses of a company. First, 10 transporters need to be transferred to a and 8 transporters need to be transferred to B
It is known that the cost of transferring one vehicle from warehouse A to place a and place B is 40 yuan and 80 yuan respectively; the cost of transferring one vehicle from warehouse B to place a and place B is 30 yuan and 50 yuan respectively. Suppose x vehicles are transferred from warehouse A to place a. the total cost of transferring vehicles is expressed by a formula containing X


If there are x cars transferred from warehouse B to place a and 6-x cars transferred from warehouse B, then there are 10-x cars transferred from warehouse A to place a and 12 - (10-x) = 2 + X cars transferred from warehouse A to place B,
According to the meaning, 40 (10-x) + 80 (2 + x) + 30x + 50 (6-x) = 860 + 20x