Set up the following for solution by the simplex method First express the linear constraints and objective function then add slack variables to convert each constraint into a linear equation and then set up the initial simplex tableau A manufacturer of bicycles builds racing touring and mountain models The bicycles are made of both aluminum and steel The company has available 92 600 units of steel and 45 000 units of aluminum The racing touring and mountain models need 11 22 and 39 units of steel and 18 26 and 16 units of aluminum respectively How many of each type of bicycle should be made in order to maximize profit if the company makes 9 per racing bike 18 per touring bike and 22 per mountain bike What is the maximum possible profit constraints and objective function subject to with Z X1 92 600 45 000 X2