Answer:
450L
Step-by-step explanation:
This is a ratio and proportion problem. First you need to determine the known ratio and the unknown ratio. In this case we have the known ratio:
The unknown ratio in this case is:
So to do this, we just set up the proportion and solve for it:
The critical points of <em>h(x,y)</em> occur wherever its partial derivatives and
vanish simultaneously. We have
Substitute <em>y</em> in the second equation and solve for <em>x</em>, then for <em>y</em> :
This is to say there are two critical points,
To classify these critical points, we carry out the second partial derivative test. <em>h(x,y)</em> has Hessian
whose determinant is . Now,
• if the Hessian determinant is negative at a given critical point, then you have a saddle point
• if both the determinant and are positive at the point, then it's a local minimum
• if the determinant is positive and is negative, then it's a local maximum
• otherwise the test fails
We have
while
So, we end up with