A Small Foundry Has Received an Order for an Iron

Essay

A small foundry has received an order for an iron alloy called Falloy which has the following specifications:
$\begin{array} { l l } \text { Content } &{ \text { Specification } } \\\hline\text { Nickel } & 5 \% \\\text { Manganese } & 4 \% \\\text { Copper } & 1 - 2 \% \\\text { Impurities } & { \text { no more than 3\% } } \\\text { Iron } & { \text { the balance } }\end{array}$
Falloy can be produced from the following inputs (balance to 100% consisting of iron).
$\begin{array} { l l } \text { Content } &{ \text { Specification } } \\\hline\text { Nickel } & 5 \% \\\text { Manganese } & 4 \% \\\text { Copper } & 1 - 2 \% \\\text { Impurities } & { \text { no more than 3\% } } \\\text { Iron } & { \text { the balance } }\end{array}$

Formulate the linear programming problem that will indicate the blending "recipe" that will minimize the cost of this alloy.