The furniture workshop of a factory makes two types of tables, A and B, and each table requires two

Set up the daily production of A-type table x, B-type table y, the total profit is z thousand yuan, then.

x+2y≤8

3x+y≤9

x≥0，y≥0

> objective function is: z=2x+3y

Make a feasible domain:

Translate the straight line l:2x+3y=0 to the upper right, the straight line passes through the point B on the feasible domain, and the distance from the origin is maximum, then z=2x+3y takes the maximum value and solves the equation.

x+2y＝8

3x+y＝9

The coordinates of B are (2,3) At this time, z=2 2+3 3=13 (thousand yuan) Answer: 2 A-type tables should be produced every day, and 3 B-type tables should be produced to obtain the maximum profit The maximum profit is 13,000 yuan

2 A-type tables and 3 B-type tables should be produced per day in order to obtain the maximum profit, and the maximum profit is 13 thousand yuan.

Test question analysis: Set up x sheets of A-type tables and y sheets of B-type tables to be produced every day, and the <> of inequality groups can be listed according to the meaning of the questions

In a planar Cartesian coordinate system, the plane region represented by the group of inequalities is made, and the objective function is <>

Formed into <>

When <> changes, it represents a set of parallel lines when the line passes through the feasible domain and is in the <>

The intercept on the shaft is <> when it is maximum

Utmost. Based on this, the optimal solution is found and the <> is obtained

maximum. Question Analysis:

> solution: If x A-type tables and y B-type tables are produced every day, it will be <>

> objective function is: z=2x+3y

Make a feasible domain:

Put the straight line <>

2x+3y=0 pan to the top right to <>

, the straight line passes through the point M on the feasible domain, and the distance from the origin is the largest, and z=2x+3y takes the maximum value.

Solve the equation <>

The coordinates of M are (2,3).

At this point, the maximum profit <>

Thousand dollars. Answer: 2 A-type tables and 3 B-type tables should be produced every day to get the maximum profit, and the maximum profit is 13,000 yuan.

Use linear programming to make A type x sheets, B type y sheets carpentry: x + 2y < = 8

Painter: 3x+y<=9

Then, both must be non-negative, so the objective equation of x>=0, y>=0, let z be profit, and z=15x+20y

Then it is represented by a flat area, and the normal solution is good, and the solution is 2 sheets of type A and 3 sheets of type B, with a profit of 120

3 B tables and 2 A tables, carpenters can leave work an hour earlier and can make a profit of 13,000 yuan.

If it's a math problem, it's bigger than the problem and the conditions are missing!

If it's factory production, it's your process management problem, and you can't do ...... like that

There are 2 pieces of type A and 3 pieces of type B, and the profit is the largest, which is 10,000 yuan. 

Analysis: Set up a factory to produce X sheets of A-type tables and Y sheets of B-type tables every day, and the profit is z (thousand yuan).The feasible domains are the quadrilateral ABCO interior and boundary. 

That is, the intercept of the moving straight line on the y axis, and the moving straight line moves in the feasible domain, so that the intercept of the straight line at point B is the largest, and z has the maximum value at this time. 

zmax=2 2+3 3=13 (thousand yuan).The factory should produce 2 A-type tables and 3 B-type tables per day, which can make the largest profit, which is 13,000 yuan.

If x tables of type A and y sheets of table B are produced per day, then the objective function is z=2x 3yMake a feasible domain:

When the square is translated to the position of l, the straight line passes through the point M on the feasible domain and the distance from the origin is maximum, and the maximum value is obtained at z=2x 3y. Solve the equation to get the coordinates of M as (2,3).A:

2 Type A tables and 3 Type B tables should be produced per day to obtain maximum profit.

Ask your elementary school math teacher.

The exam is over、Cup。