Linear Programming: Sensitivity Analysis

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 $10 for the Deluxe and $15 for the Professional. The number of pounds of each alloy needed per frame is summarized below:

A supplier delivers 100 pounds of the aluminum alloy and 80 pounds of the steel alloy weekly.

Aluminum Alloy Steel Alloy Deluxe 2 3 Professional 4 2

a) How many Deluxe and Professional frames should Olympic produce each week? b) Suppose the profit on deluxe frames is increased to $20. Is the above solution still optimal? What is the value of the objective function when this unit profit is increased to $20? c) If the unit profit on deluxe frames were $6 instead of $10, would the optimal solution change?

BUSINESS DECISION ANALYSIS COURSE

NO HAND WRITTEN WORK PLEASE. THANKS