The KKT Conditions are a bit beyond my current ability level. I chose to follow your advice regarding manipulation of the inequalities. I am currently watching videos on the simplex method for my own understanding.
I defined the variables as cubic meters of the three metals:
Vg = m3 of...
Az_Lender,
Thank you for responding. Your logic is sound. I guess I assumed the problem was more complicated than it is.
In order to minimize gold content, we need to maximize copper content. I came up with two equations:
19320Vg + 8940Vc = 9000 kg
Vg + Vc = 0.6313 m3
Solving for Vg...
Homework Statement
An alloy of gold, aluminum, and copper has a density of 10,000 kg/m3. The alloy contains at least 10% aluminum and 5% copper by mass. The densities for the three metals are respectively ρAu = 19320 kg/m3, ρAl = 2712 kg/m3, ρCu = 8940 kg/m3. Find the maximum and minimum...