ATAR Notes: Forum

VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE General & Further Mathematics => Topic started by: 9_7 on October 27, 2012, 06:17:05 pm

Title: Maximizing objective function
Post by: 9_7 on October 27, 2012, 06:17:05 pm

Hey guys I'm just wondering if you could explain q9 of graphs and relations in the vcaa 07 exam 1? I'm really having trouble doing these!

http://www.vcaa.vic.edu.au/Documents/exams/mathematics/2007furmath1.pdf

Title: Re: Maximizing objective function
Post by: Will T on October 27, 2012, 06:26:06 pm

Haha my teacher made me do this exam class.
The answer is A (1) because the only time that the point (100,0) will be the maximum value is when k = 1. Try it out and you'll see what I mean :) Hope this helped.

Title: Re: Maximizing objective function
Post by: Stick on October 27, 2012, 08:32:16 pm

What you need to do is set up four equations by substituting each co-ordinate into the objective function. Now trial each value of k until the equation with (100,0) is the largest of the four. :)

Title: Re: Maximizing objective function
Post by: 9_7 on October 27, 2012, 08:48:26 pm

What if there are no values given?

Title: Re: Maximizing objective function
Post by: Stick on October 27, 2012, 09:36:56 pm

That would be unlikely for this sort of question, but you'd need to rearrange the function and find a suitable gradient.