Year 12s: what will be the first way you research your future options? >>

Edexcel D1 Linear Programming help

Page 119, Exercise 6A, Q1

I am struggling to get my head around a particular constraint which keeps on coming up.

'' ............Letting the number of boxes of gold assortment be x and the number of boxes of silver assortment be y, formulate this as a linear programming problem. ''

I have managed to get all constraints apart from ''The manufacturer needs to make at least twice as many silver as gold assortments.''

My question is, how come the answer is 2x<y and NOT x>2y !?
Thanks in advance :confused:

Reply 1

ghostwalker

Original post by Mwansy

My question is, how come the answer is 2x<y and NOT x>2y !?
Thanks in advance :confused:

Perhaps this may help:

At least twice as many silver (y) as gold (x) implies

y/x >=2

Hence y >= 2x.

This particular form often catches people out, and they get it the wrong way around.