The UNOH good works society is planning an annual fundraising "Eat-a-Thon". The society will charge students 75¢ per serving of pasta. The only expenses they will incur are the cost of the pasta, estimated at 25¢ per serving, and the $325 cost of renting the facility for the evening. Perform a Break-Even analysis. How many servings of pasta would they need to sell to make money for the fundraiser?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.3: The Cartesian Plane And Graphs Of Equations
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The UNOH good works society is planning an annual fundraising "Eat-a-Thon". The society will charge students 75¢ per serving of pasta. The only expenses they will incur are the cost of the pasta, estimated at 25¢ per serving, and the $325 cost of renting the facility for the evening. Perform a Break-Even analysis. How many servings of pasta would they need to sell to make money for the fundraiser?

Expert Solution
Step 1

In order to perform break-even analysis, first find cost function, revenue function and profit function as follows.

Algebra homework question answer, step 1, image 1

Step 2

Revenue function:

The revenue is basically the amount that is obtained by selling x serving of pasta at a particular selling price.

Obtain the revenue function by multiplying the selling price to the number of pasta served that is x as follows.

Algebra homework question answer, step 2, image 1

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