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.

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Definitions:

Digits

Numerals (0-9) used in numerical systems, or the fingers and toes of hands and feet.

Recall

A cognitive process of retrieving previously learned or experienced information.

Brown-Peterson Task

A cognitive exercise used to assess short-term memory and attention span by having individuals try to remember trigrams or three-letter combinations after various distractions and intervals.

Short-Term Memory

The component of the memory system that is responsible for temporarily holding information available for processing for a brief period of time.