1. Grilled-Cheese Business Break-down of Costs
For a grilled-cheese sandwich you need: bread, cheese, butter, and a paper towel.
I researched each of these, and found the cheapest prices to be the following:
Bread: $1.44/loaf – makes 12 sandwiches
Cheese: $3.50/bag – makes 10 sandwiches
Butter: $3.75/lb. – makes 40 sandwiches
Paper Towels: $0.99/roll – makes 120 sandwiches
By dividing out the number of sandwiches made for each ingredient, I could get a unit cost:
Bread: $0.12/sandwich
Cheese: $0.35/sandwich
Butter: $0.09/sandwich
Paper Towels: $0.01/sandwich
Total Cost per Sandwich: $0.57/sandwich

2. Graphs Comparing Cost Curve to Different Price Curves
Revenue Curve at $1.50/sandwich
$ spent/made
Cost Curve
Break-even point
(22 sandwiches)
Number of Sandwiches Produced/Sold

3. Algebraic Solution to System of Cost and Revenue Equations
For a price of $1.50:
Y = x
Y = 1.5x
1.5x = x
.93x =20
X = Y=
Break-even at 22 sandwiches ($32.26)