A mining compariy produces'100 tons of red ore and 80 tons of black ore each week. These can be treated in different ways to produce tree different alloys, soft hard or strong. To prbduce l ton of soft alloy requires 5 tons of red ore and 3 tons of black. For the hard alloy the requirements are 3 tons of red and 5 tons of black. The profit per ton from selling the alloys (after allowing for production but not mining costs, which are regarded as fixed) are 5250, $300 and 5400 for soft, hard and strong respectively. Find the optimal combination to maximize the company's profit.
A mining compariy produces'100 tons of red ore and 80 tons of black ore each week. These can be treated in different ways to produce tree different alloys, soft hard or strong. To prbduce l ton of soft alloy requires 5 tons of red ore and 3 tons of black. For the hard alloy the requirements are 3 tons of red and 5 tons of black. The profit per ton from selling the alloys (after allowing for production but not mining costs, which are regarded as fixed) are 5250, $300 and 5400 for soft, hard and strong respectively. Find the optimal combination to maximize the company's profit.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A mining compariy produces'100 tons of red ore and 80 tons of black ore each week. These can
be treated in different ways to produce tree different alloys, soft hard or strong. To prbduce l ton
of soft alloy requires 5 tons of red ore and 3 tons of black. For the hard alloy the requirements are
3 tons of red and 5 tons of black. The profit per ton from selling the alloys (after allowing for
production but not mining costs, which are regarded as fixed) are 5250, $300 and 5400 for soft,
hard and strong respectively. Find the optimal combination to maximize the company's profit.
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