Question 1165245
use the linear programming tool at <a href = "https://www.zweigmedia.com/RealWorld/simplex.html" target = "_blank">https://www.zweigmedia.com/RealWorld/simplex.html</a>


your objective function is p = 4x + 19y


x represents the number of mx300 units.
y represents the number of xl200 units.


your constraint functions are:


6x + 3y <= 840 for number of hours to create the pieces.
2x + 4y <= 360 for number of hours to create the electronics.
10x + 21y <= 1880 for number of hours to assemble the final product.
x,y >= 0 


your inputs to the simplex method tool and outputs from the simplex method tool are shown below:


<img src = "http://theo.x10hosting.com/2020/091902.jpg" >


you evaluate your objective function at x = 0 and y = 89.5238
your objective function is p = 4x + 19y.
this becomes  0 * 4 + 19 * 89.5238 = 1700.95 rounded to 2 decimal places as shown in  the optimal solution.


all the constraints have to be satisfied:


6x + 3y <= 840 becomes 6 * 0 + 3 * 89.5238 <= 840 which becomes 268.5714 <= 840 which is true.


2x + 4y <= 360 becomes 2 * 0 + 4 * 89.5238 <= 360 which becomes 358.0952 <= 360 which is true.


10x + 21y <= 1880 becomes 10 * 0 + 21 * 89.5238 which becomes 1879.9998 <= 1880 which is true.


x >= 0 becomes 0 >= 0 which is true.


y >= 0 becomes 89.5238 >= 0 which is true.


all the constraints are satisfied, so the solution is good.