Question 1123606
your objective function is 9x + 9.5y which you want to minimize.


your constraint functions are:


12x + 4y <= 400,00 (plastic constraint)
5x <= 30,000 (silk constraint)
x,y >= 0 (can't be negative)


using the desmos.com calculator, you would graph the opposite of these constraints.
the area of the graph that is not shaded is your region of feasibility.


the corner points of this region are where the maximum revenue will be.
you will evaluts the objective function at these corner points to determine thye corner point that provides the most revenue.


you also need to confirm that all constraints are satisfied as the corner point with the maximum revenue.


the graph looks like this:


<img src = "http://theo.x10hosting.com/2018/091901.jpg" alt="$$$" >


the corner point with the maximum revenue is at (6000,2000)


the revenue at this corner point was 73,000, which was higher than at any of the other corner points.


the plastic consumed was 100,000 and the nylon consumed was 30,000, all under the constraint limits of <= 100,000 and <= 30,000.


the cost function at the corner point was 9 * 6,000 + 9.5 * 2000 = 73,000


the plastic constraint was 12 * 6000 + 14 * 2000 = 100,000


the nylon constraint was 5 * 6000 + 0 * 2000 = 30,000


the desmos.com calculator can be found at <a href = "https://www.desmos.com/calculator" target = "_blank">https://www.desmos.com/calculator</a>