The edge roughness of a slit paper products increases as knife blades wear. Only $1\%$ of products slipped with new blades have rough edges, $3\%$ of products slit with blades of average average size sharpness exhibit roughness, and $5\%$ of products slit with worn blades exhibit roughness. If $25\%$ of the blades in manufacturing are new, $60\%$ are of average sharpness, and $15\%$ are worn, what is the proportion of products that exhibit edge roughness