Math 108 Project Help For this project, you will research setting up a food cart that sells one item (like hot
dogs in buns) along with any condiments (like catsup, mustard, relish, onions, etc.) and
necessary serving products (like napkins, plates, containers/wrapping foil, etc.) You
may pick any food item of your choice. You will determine your total cost function,
revenue function, profit function, and find your break-even point(s).
Your project should contain all of the following elements:
1. Variable(s): Very clearly define your variable(s) and be specific. For example, if you say “xx
represents hot dogs”, you will get very little credit. Does xx represent the number of hotdogs?
pounds of hotdogs? packages of hotdogs? dozens of hotdogs?
2. Total Cost: Research and determine your total cost function. Your cost function should
include the cost of the cart, cost of paying employees, cost of the food and supplies for the cart,
etc. Fully explain how you arrived at your cost function. Provide information/links in how you
determined what your supplies and materials cost. (You may ignore the cost of permits, taxes,
and city fees.)
3. Marginal Cost: Determine your marginal cost function. In your own words, explain what your
marginal cost function tells you. How is this different from what your total cost function tells
you? Math 108 Project Help
4. Revenue: Determine your revenue function. Explain how you arrived at this function.
5. Profit: Determine your profit function. Explain how you arrived at this function.
6. Marginal Profit: Determine your marginal profit function. In your own words, explain what
your marginal profit function tells you. How is this different from what your profit function tells
7. Break-Even: Find your break-even point(s) algebraically. Show all your work and explain your
reasoning. Math 108 Project Help
8. Break-Even: Find your break-even point(s) graphically. The axes on your graphs should be
properly titled and labeled. So that your project looks professional, use software (such as
Desmos) to create your graphs. Show your work and explain your reasoning. Math 108 Project Help