Question: State the word problems and develop mathematical model. Apply sensitivity analysis i.e. Calculate the ranges of optimality and shadow prices of each constraint. Olympic Bike

State the word problems and develop mathematical model. Apply sensitivity analysis i.e. Calculate the ranges of optimality and shadow prices of each constraint. Olympic Bike is introducing two new lightweight bicycle frames, the Deluxe and the Professional, to be made from special aluminum and steel alloys. The anticipated unit profits are $15 for the Deluxe and $17 for the Professional. The number of pounds of each alloy needed per frame is summarized in the table. A supplier delivers 100 pounds of the aluminum alloy and 80 pounds of the steel alloy weekly. Aluminum Alloy Steel Alloy Deluxe 1 2/3 Professional 2 1

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