مسألة للمناقشة والفائدة

[fahad]

A gold processor has two sources of gold ore, source A and source B. In order to keep the plant running, at least three tons of ore must be processed each day. Ore from sourc A costs 20 per ton to process, and ore from B cost 10 per process. Costs must be kept to less than 80 per day. Moreover require that the amount of ore from source B cannot exceed twice the amount of source A. The lab reports that ore from source A yields 2 oz of gold per ton, and ore from source B yields 3 oz of gold per ton. How many tons of ore from both sources must be proceeded each day to maximize the amount of gold extracted subject to the above constraints?

Graphically solve to show how many tons of ore should be processed from both sources to maximize the amount of gold extracted.

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