Exercise 6 Lean Body Mass Formula for Adults (The Boer Formula): For males: LBM = 0.407W + 0.267H - 19.2 The percentage of LBM = LBM / W For females: LBM = 0.252W + 0.473H - 48.3 The percentage of LBM = LBM / W In the formulas above, w is the body weight in kilogram and H is the body height in centimeter. Examples: Man: 67 kg, 166 cm A man with a weight of 67 kg and 166 cm tall. What is his LBM and LBM%? LBM = 0.407 (67) + 0.267(166) - 19.2 = 52.39 kg LBM% = (LBM / W) * 100 = (52.39 / 67) * 100 = 78.2% Woman: 55 kg, 160 cm A woman with a weight 55 kg and 160 cm tall. What is her LBM and LBM%? LBM = 0.252(55) + 0.473(160) - 48.3 = 41.24 kg LBM% = (41.24 / 55) * 100 = 75% Write a program to perform the following tasks: 1. Generate graphs to show the weight vs height for the percentage of LBM being 75% for men and 70% for women. The independent value (x-axis) of the graphs is height ranging from 145 cm to 200 cm. 2. Ask the users to enter the following inputs: Sex: m for male, f for female Height: in cm Weight: in kg 3. Calculate the user's LBM and LBM%. 4. Calculate the recommended maximum weight for the user. The programs have to be done with Python with Numpy, Pandas and Matplotlib