Delta Robot Workspace Calculations

I would like to find a provider who can accurately model the workspace of a delta robot used for 3d printing similar to the one shown in the attached image. I would like a calculator that can show the resulting workspace when taking the following inputs: 1) Length of the delta rods 2) Maximum usable height of the vertical slide 3) Distance from centre of print bed to the position of the vertical slide 4) Offset between the centre of the vertical slide and the centre of the upper delta rod joint 5) Offset between the centre of the delta platform (effector) and the centre of the lower delta rod joint 6) Vertical distance between the hot end nozzle and the centre of the lower delta rod joint. All these inputs are discussed from the standpoint of one tower, there are 3 towers located at 120 degree from each other with each the same characteristics. The solution must include a way to visualize the resulting build volume that can be reached with the effector remaining parallel to the surface at all times. Diameter and Height of the build area should be visible along side a graphical representation. Please let me know which tools you will use (Matlab, C++, web based, etc..) to build the calculator. Please show me that you clearly understand what you are talking about when placing a bid.