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 92,300 units of steel and 42,000 units of aluminum. The racing, touring, and mountain models need 13, 21, and 33 units of steel, and 15, 28, and 18 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 $24 per mountain bike? What is the maximum possible profit? Question content area bottom Part 1 Let x 1, x 2, and x 3 be the numbers of racing, touring, and mountain bicycles, respectively. Express the linear constraints and objective function. Maximize Minimize zequals enter your response here subject to: enter your response here less than or equals greater than less than equals greater than or equals not equals 92,300 enter your response here less than or equals less than greater than not equals greater than or equals equals 42,000 with x 1 greater than equals not equals less than or equals less than greater than or equals enter your response here, x 2 greater than less than equals greater than or equals not equals less than or

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 92,300 units of steel and 42,000 units of aluminum. The racing, touring, and mountain models need 13, 21, and 33 units of steel, and 15, 28, and 18 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 $24 per mountain bike? What is the maximum possible profit? Let x1, X2, and x3 be the numbers of racing, touring, and mountain bicycles, respectively. Express the linear constraints and objective function. subject to: 92,300 42,000 X1 X7 with X3 (Do not factor. Do not include the $ symbol in your answers.)