The common point of plane region represented by line 2x + Y-1 = 0 and inequality system {x ≥ 0, y ≥ 0, X-Y ≥ - 2 4x + 3Y ≤ 20 How many common points are there in the plane area

The common point of plane region represented by line 2x + Y-1 = 0 and inequality system {x ≥ 0, y ≥ 0, X-Y ≥ - 2 4x + 3Y ≤ 20 How many common points are there in the plane area

This problem is either one or countless

4. Prove the inequality system: 2x ^ 2 + X-10

2x^2+x-10

Let X and y satisfy the constraint condition x + Y > = 1, X-Y > = - 1,2x-y

Draw x + Y > = 1, X-Y > = - 1, 2x-y = 7 * (a ^ 3B ^ 4) ^ (1 / 7)
(a ^ 3B ^ 4) ^ (1 / 7) = 7 / (a ^ 3B ^ 4) ^ (1 / 7) > = 7 minimum 7 (a = b)

Let the point (x, y) in the first quadrant satisfy the constraint condition 2x − y − 6 ≤ 0x − y + 2 ≥ 0. If the maximum value of the objective function z = ax + by (a > 0, b > 0) is 40, then the minimum value of 5A + 1b is ()
A. 256B. 94C. 1D. 4

When the line ax + by = Z (a ＞ 0, B ＞ 0) passes through the intersection (8, 10) of the line X-Y + 2 = 0 and the line 2x-y-6 = 0, the objective function z = ax + by (a ＞ 0, B ＞ 0) achieves the maximum of 40, that is, 8A + 10B = 40, that is, 4A + 5B = 20, and 5A + 1b = (5a + 1b) 4A + 5b20 = 54 + (5b4