graphs module

[onerealsmartass]

do you guys think that a blending, transportation question will appear in this years exam?
my school reckons that it would take too long to teach and that it is rarely on exams so they are taking a gamble, but i learnt it cos i finished the course over a month ago.
so today i saw a blending question on a tssm exam and thought that it was the first one ive seen...
yeah i dont think that they will have one cos it usually takes a bit longer to do but you never know..

on a side note, which company exams do you think are most similar to vcaa ones in terms of difficulty.
mine are MAV, heffernen so far...
neap, insight, tssm their exam 2 questions and some exam 1 questions require a bit more working which doesnt seem to appear on vcaa exams

[LFTM]

Can you explain what the blending, transportation question is?

[onerealsmartass]

They are pretty much just further application questions requiring you to manipulate teh constraints. umm its kinda hard to explain, my textbook is mathsquest12 one and it is chapter 11D. if your using a different textboook i would think that it may be one of the final chapters/exercises??

[onerealsmartass]

A miller can buy wheat from three suppliers: Airy Farm, Berry Farm and Cherry Farm. In each case the wheat is ‘contaminated’ with two things — bran and husks. When combined, the wheat must contain no more than 5% bran and no more than 4% husks. The miller wishes to make 50 tonnes of wheat in total, by purchasing from each farm. Each farm’s wheat contains the following amounts of bran and husks.


  Bran Husks Cost per tonne
Airy Farm 3% 5% $70
Berry Farm 5% 2% $60
Cherry Farm 7% 6% $40
Maximum amount of contaminant allowed 5% 4%   
Airy Farm charges $70 per tonne, Berry Farm charges $60 per tonne and Cherry Farm charges $40 per tonne.

Use linear programming techniques to find the amount of wheat to purchase from each supplier in order to keep costs to a minimum. That is:

a identify the decision variables

b define the constraint inequation caused by the restriction on bran

c define the constraint inequation caused by the restriction on husks

d define the remaining constraints

e graph the solution region

f define the objective function

g find the amount of wheat purchased from each supplier.


Thats what i was able to copy from the textbook website- it is a blending problem. note there is suppose to be a table in the middle

[LFTM]

Usually with the constraint questions, vcaa doesn't make it that hard, they might asks you to draw the the remaining equation on the graph for example or to find the maximum something.

In regards to the exams i agree with you on mav and heffernan, they're probably the closest thing to vcaa.

[onerealsmartass]

yeah thanks for that