Differential Analysis for Further Processing

The management of International Aluminum Co$.$ is considering whether to process aluminum ingot further into rolled aluminum. Rolled aluminum can be sold for $$2,300$

per ton, and ingot can be sold without further processing for $$1,150$ per ton. Ingot is produced in batches of $88$ tons by smelting $520$ tons of bauxite, which costs $$102$

per ton of bauxite. Rolled aluminum will require additional processing costs of $$620$ per ton of ingot, and $1\mathrm{.}25$ tons of ingot will produce $1$ ton of rolled aluminum.

Required:

Prepare a differential analysis as of February $5$ to determine whether to sell aluminum ingot $($Alternative $1)$ or process further into rolled aluminum $($Alternative $2).$ If

required, do not round interim calculations. If required, use a minus sign to indicate a loss.

Differential Analysis

Sell Ingot $($Alt$.1)$ or Process Further into Rolled Aluminum $($Alt$.2)$

February $5$