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maths_header

 

 

MATHS@WORK
This section is an "extract from Maths@Work Teacher's Pack (Pub: 2000), by Kind Permission of Harrison Smith Associates Ltd, London (www.mathsatwork.com) following an initiative by
the Institute of Maths and its Applications. (www.ima.org.uk) .

Worked Example

Consider the following extensions to this initial problem

If you need to supply 300 m3/hr to the distillation column what is the most profitable split of crude.

This type of calculation is done by computer as it involves an enormous number of calculations done very quickly.

However we can mimic the computer by choosing just two particular ways of making 300 m3/hr and calculating and comparing the end profits.

Let us take the following two cases

 

inputs

 

total

 

outputs

 

total

 

Crude 1

Crude 2

 

LPG

LVN

Petrol

 

Case1

150

150

300

37.5

67.5

195

300

Case 2

200

100

300

40

70

190

300

For each example we can calculate the costs and money made for the two different input flowrates. In each case a total of 300 m3/hr is being fed in but because the streams are in different proportions different amount of LPG, LVN and Petrol are produced.

If the products are worth   LPG $10 /m3
    LVN $20 /m3
    Petrol $30 /m3
Crude 1 costs $15 /m3  
Crude 2 costs $25 /m3  

How much per day will we make in each case?