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:

Lava Flows

Streams of molten rock that pour or ooze from an erupting vent, typically flowing at temperatures of 700 to 1,200 degrees Celsius.

Glaciers/Snowpack

Masses of ice and snow that accumulate in colder climates, moving slowly over land under their own weight.

Volcanic Cinders

Small, porous pieces of pyroclastics that are ejected from a volcano during an explosive eruption.

Scoria Cone

A volcanic cone formed out of tephra (volcanic debris) and cinders that accumulate around and downwind from a volcanic vent.