A forearm flexion model and muscle parameters are defined above with the forearm in a horizontal position. Assume the individual is a $50$th percentile male with a length $($c$)$ of $34\mathrm{.}8$ cm between the elbow joint $($O$)$ and the applied weight $($W$0)$ of $200$ N and a forearm $(+$ hand$)$ weight of $24\mathrm{.}2$ N with the center of mass located $15\mathrm{.}6$ cm $($b$)$ from the elbow joint. Muscle forces must be greater than or equal to zero and less than the maximum allowable force $($Table $1).$ Determine the required muscle force magnitudes and associated elbow force components to maintain the horizontal position of the forearm using the following objective functions to minimize: