Formulate the Following as a Linear Programming Problem

question 114

Essay

Formulate the following as a linear programming problem.
Jan lives in the country and is having a garage sale tomorrow. She has decided to sell some fresh baked goods in conjunction with the sale. She has excellent recipes for apple pie and for apple turnovers. She has 20.83 pounds of apples. Each pie will require 1.6 pounds of apples and each turnover will require 0.22 pounds of apples. She has discovered that she is short of both flour and sugar and does not want to make another trip to the store tonight. She has 5.7 pounds of flour and 200 grams of sugar. Each pie will require 0.6 pounds of flour and 11 grams of sugar. Each turnover will require .02 pounds of flour and 3 grams of sugar. She will sell pies for $6 each and turnovers for $0.75 each. She has decided to make 8 pies at most, because she is concerned about how well they will sell.

---

Definitions:

Basket-Weaving

The craft or activity of making baskets by hand, often involving the weaving of materials like reeds, straw, or other fibrous materials.

Talent

A natural aptitude or skill possessed by an individual, often in a specific field such as music, sports, or art.

Sexually Promiscuous

Describing someone who engages in sexual activities with multiple partners without necessarily seeking long-term relationships.

Evolution

The process by which different kinds of living organisms are thought to have developed and diversified from earlier forms during the history of the earth.