Optimization of Handicap Ramp

by Tyler Schilling

Submitted : Fall 2019

The objective of this project is to minimize the cost of building a handicap ramp. This was done by creating an equation to represent the total cost of the project including labour and materials. Variables were then all defined in terms of l, allowing for an equation with one variable to be graphed and derived. This equation then underwent the first derivative test to find a value of l that would create a minimum output for cost. This value was then compared to the physical constraints of the project allowing for a realistic minimum cost to be found. The project concluded with finding the minimum total cost of $20,043.33. To meet this minimum cost the number of stacks was 18, the number of triangular prism blocks was 18, and the number of rectangular prism blocks was 171.

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