Question

A corn refining company produces corn gluten
cattle feed at a variable cost of $82 per ton. If fixed costs are $120,000 per month and the feed sells for $134 per ton, how many tons must be sold each month for the company to have a monthly profit of $560,000?

With explaining pleaseee:)

Answer 1

The amount of tons that must be sold each month for the company to have a monthly profit is 13,076.923 tons per month

Let x represent the amount of tons sold each month

Hence,

560,000=134x-(82x+120,000)

Remove the bracket

560,000=134x-82x-120,000

560,000=52x-120,000

52x=560,000+120,000

52x=680,000

Divide both side by 52

x=680,000/52

x=13,076.923 tons per month

Inconclusion The amount of tons that must be sold each month for the company to have a monthly profit is 13,076.923 tons per month.

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