A simply supported beam is subjected to a linearly varying distributed load $q(x)=\frac{x}{L}q_{0}$ with maximum intensity q0 at B. The beam has a length L = 4 m and rectangular cross section with a width of 200 mm and height of 300 mm. Determine the maximum permissible value for the maximum intensity, q0, if the allowable normal stresses in tension and compression are 120 MPa.<image 1>
['$q_{0}=250.7403\\frac{kN}{m}$', '$q_{0}=350.7403\\frac{kN}{m}$', '$q_{0}=450.7403\\frac{kN}{m}$']