Case study: franklin bronze company
Franklin Bronze Company located in Pennsylvania is contemplating making an alloy with the following metals. Due to reasons of confidentiality the company does not want to disclose the names of the metals or the alloy. The following information regarding the density of each metal , the carbon content , the phosphorous content , and price per kg of each metal is given in the table given below :-
There are four metals A, B, C and D that have the following properties:
Metal Density (den) Carbon (crb), % Phosphor (psh), % Price, $ / kg
A 6500 0.2 0.05 2.0
B 5800 0.35 0.015 2.5
C 6200 0.15 0.065 1.5
D 5900 0.11 0.1 2.0
The company’s requirement is to produce an alloy at minimal cost using the metals that company has zeroed in on. The alloy should have the following property ranges:
Range Density (den) Carbon (crb), % Phosphor (psh), %
Min 5950 0.1 0.045
Max 6050 0.3 0.055