(1) How many days does it take for Team A, Team B and Team C to complete the whole project independently?
(2) If the project is required to be completed within 15 days, which team will spend the least money to complete the project alone?
The steps of solving with binary linear equations are as follows:
Let the teams of Party A, Party B and Party C complete X and Y every day.
Completed by "B-C Cooperation 10 Days"
Get c (110-y) every day.
According to the meaning of the question, there are:
(x+y)*6= 1
(x+ 1/ 10-y)*5=2/3
X = 1/ 10,Y = 1/ 15。
That is, a completes110 every day, b completes115 every day, and then c completes 1/30 every day.
The construction period requires that all the projects be completed within 15 days, so Party A or Party B can complete the projects alone.
You can form a team, and reward M yuan every day, and team B, and reward N yuan every day.
After the cooperation between the two teams is completed in 10 day, the manufacturer needs to pay the two teams ***9500 yuan.
The daily remuneration of Depc is 9500/10-n = 950-n.
As in the previous section, the equation can be listed as follows:
(m+n)*6=8700
(m+950-n)*5=5500
The solution is m=800 and n=650.
That is, Team A needs 800 yuan and Team B needs 650 yuan every day.
Therefore, the project cost for Party A to complete * * * is 800* 10=8000.
The project cost to be completed by Team B is 650* 15=9750.
8000 & lt9750
Therefore, team A alone will spend the least, 8,000 yuan, 15 days to complete this project.
The main engineering problem is to know the efficiency, time and total amount. This is the most basic.