content area top Part 1 A manufacturer of bicycles builds racing, touring, and mountain models. The bicycles are made of both steel and aluminum. The company has available 117 comma 800 units of steel and 38 comma 400 units of aluminum. The racing, touring, and mountain models need 19, 31, and 38 units of steel, and 9, 15, and 12 units of aluminum, respectively. Complete parts (a) through (d) below. Question content area bottom Part 1 (a) How many of each type of bicycle should be made in order to maximize profit if the company makes $8 per racing bike, $11 per touring bike, and $22 per mountain bike? Let x 1 be the number of racing bikes, let x 2 be the number touring bikes, and let x 3 be the number of mountain bikes. What is the objective function? zequals enter your response herex 1plus enter your response herex 2plus enter your response herex 3