College Algebra (actual file attached shows indicated lines) Project #2 You Are a Business Owner (not a bakery)

You will use the model below to generate your own linear programming problem. Formulate your own small business scenario and insert the criteria into the “indicated fields”. Then use the steps outlined below to show your work and solve the newly created problem.

PROBLEM: Family Foods makes jumbo cookies and regular cookies. The oven can make at most 200 cookies per day. Each jumbo cookie requires 2 ounces of flour, and each regular cookie requires 1 ounce of flour. There are 250 ounces of flour available. The income from each jumbo cookie is 11 cents and from each regular cookie is 5 cents. How many of each size cookie should be made to maximize income?

SOLUTION:

Objective function:

Constraints:

Graph:

Vertices:

Optimization:

Grading Rubric: Part Project Component Points 1 Word Problem: includes a business name, product, component, and reasonable values 10 2 Objective Function 5 3 Constraints: includes inequality statements 10 4 Graph (hand-drawn or electronically generated) 10 5 Vertices 10 6 Optimization 5 Total: 50