A chemical plant uses 200 O-rings to seal valves on pipes that carry corrosive materials. The plant pays $5 for each O-ring and must change them during regular maintenance every two months. Each maintenance shutdown also incurs a fixed $5000. A new product has X (e.g., X = 2 for question solved in class) times the resistance to corrosive materials. We seek to determine the VIU of this new product based on varying values of X.

Build a function in Python that takes as input, X, the resistance of the new product, and outputs the product VIU.

Use your function to plot the product VIU vs its resistance, for resistance varying between [0.2,3] in increments of 0.2 (i.e., resistance of [0.2, 0.4, 0.6, ..., 2.8, 3]).