The set of inequalities in a linear programming problem are the ___________ and the solution set is the ____________.
constraints; feasible region
200
The solution to |2x + 3| = 4
x=-3.5 or x = 0.5
200
The solution to 2x + 1 >= 3 and 3x - 4 <= 17
1 <= x <= 7
200
Two forms of an equation of a line
Slope-intercept form y = mx + b
General (standard) form Ax + By = C
200
Graph to solve the Linear System.
3y+6x=3
x-y=-7
(-2,5)
200
The steps to a linear programming problem
Write the constraints
Graph the constraints
Find the vertices
Write the objective function
Plug the vertices into the objective function
Find the max or min
300
The solution to |x - 3| = 3x + 5
x = -1/2
300
The solution to 5x + 1 > 21 or 3x + 2 < -1
x < -1 or x > 4
300
The equation of the line passing through the points (-1, 5) and (3, -7)
y = -3x + 2
300
Solve the Linear System with Substitution or Elimination.
2x-y=2
3x-2y=11
(8,-11)
300
The objective (profit) function for: A company makes a profit of $40 on a pair of downhill skis and $30 on a pair of cross country skis
P = 40x + 30y
400
The solution to |2 + 5x| <= 3
x>= -1 and x <= 1/5
400
Thwe solution to n + 4 < 16 and n - 3 > 12
All real numbers
400
Write the Line
Parallel to 5y=2x+20
passing through (-1, 3)
y= 2/5x + 17/5
400
Solve the Linear System with Substitution or Elimination.
2x+6y=-8
5x-3y=88
(-7,-16)
400
Graph the feasible region for the set of constraints:
x + 2y <= 8
2x + y >= 10
x >=0
y>= 0
Vertices at (5, 0) and (4, 2) and (8,0)
500
The solution to |9x + 4| < -11
No solution
500
The solution to x + 9 <= 5 and 4x >= 12
No solution
500
Write the Line
Perpendicular to 6y+3x=4
passing through (3,2)
y=2x - 4
500
The number of solutions in a consistent dependent linear system.
Infinite
500
Find the maximum and minimum values for the objective function C = 3x + 4y for the constraints
3 <= x <= 8
2 <= y <= 6
2x + y >=12