Math Is Fun Forum

mathland

Member

Registered: 2021-03-25

Posts: 444

The Company

A company’s manager estimated that the cost C, in dollars, of producing n items is C equals 7 n plus 350. The company sells each item for $12. The company makes a profit when total income from selling a quantity of items is greater than the total cost of producing that quantity of items. Write an inequality that gives all possible values of n for which the manager estimates that the company will make a profit?

Let me see.

We are given C = 7n + 350.

Let n = number of items.

Let 12n = total income for selling a quantity of items.

I can replace C with 12n.

I say the inequality is 12n > 7n + 350.

I now need to solve for n.

Yes?

Mathegocart

Member

Registered: 2012-04-29

Posts: 2,226

Re: The Company

Hi mathland,
you're all good here. 12 bucks times n items is indeed 12n as written, and 7n + 350 is indeed the cost of producing n items.

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mathland

Member

Registered: 2021-03-25

Posts: 444

Re: The Company

Hi mathland,
you're all good here. 12 bucks times n items is indeed 12n as written, and 7n + 350 is indeed the cost of producing n items.

It certainly feels good to be right.