Determine the 5 vertices of the feasible region given the constraints below you can use the graphing calculator on desmos
3x+5y<30
x<9
y<3
x>0
y>0
The 5 vertices of the feasible region are (0,0), (0,3), (3,0), (6,0), and (9,0).
To determine the vertices of the feasible region using the given constraints, follow these steps:
1. Open a web browser and go to www.desmos.com/calculator.
2. In the input bar, enter the first constraint: "3x + 5y < 30".
3. Click on the "+" icon to add a new inequality.
4. Enter the second constraint: "x < 9".
5. Repeat steps 3 and 4 to add the remaining constraints: "y < 3", "x > 0", and "y > 0".
6. Press the "Enter" key to graph the system of inequalities.
7. Look for the region where all of the inequalities are satisfied. This region represents the feasible region.
8. Identify the vertices of the feasible region by locating the points where the boundaries of the region intersect.
Note: Due to the limitations of a text-based format, I am unable to provide a visual representation of the graph. However, by following the steps described above, you will be able to determine the 5 vertices of the feasible region using the graphing calculator on Desmos.
To determine the 5 vertices of the feasible region given the constraints, we can use the graphing calculator on Desmos. Here's how you can do it:
1. Go to the Desmos website or download the Desmos app on your device.
2. Once you have opened Desmos, click on the graphing calculator tab or icon.
3. In the input panel, enter the first constraint: 3x+5y<30. To do this, type "3x+5y<30" in the equation bar.
4. Press Enter or click on the "+" icon to add another equation.
5. Enter the second constraint: x<9. Type "x<9" in the equation bar.
6. Add the third constraint: y<3. Type "y<3".
7. Enter the fourth constraint: x>0. Type "x>0".
8. Finally, add the fifth constraint: y>0. Type "y>0".
9. Once you have entered all the equations, the graph of the feasible region will be displayed on the screen. The region will be shaded to indicate the feasible area.
10. Look for the 5 vertices (corners) of the shaded region, these are the points where the lines or boundaries of the inequalities intersect.
11. Take note of the coordinates of these 5 vertices to determine the points in the feasible region.
Following these steps using the graphing calculator on Desmos should help you determine the 5 vertices of the feasible region for the given constraints.