Homework: 7.5 Home... Question 3, 7.5.5-BE HW Score: 20%, 1 of 5 points Part 1 of 3 O Points: 0 of 1 Save A manufacturer of bicycles builds 1-, 3- and 10-speed models. The bicycles are made of both aluminum and steel. The company has available 34,830 units of steel and 47,540 units of aluminum. The 1-, 3-, and 10-speed models need, respectively, 9, 12 and 15 units of steel and 16, 12, and 20 units of aluminum. The company makes $3 per 1-speed bike, $4 per 3-speed, and $10 per 10-speed. Use the simplex method to complete parts (a) and (b). (a) How many of each type of bicycle should be made in order to maximize profit? What is the maximum profit? Set up the linear programming problem. Let X1, X2, and x3 represent the numbers of 1-, 3-, and 10-speed bicycles, respectively, and let z be the total profit. z= subject to 9x1 + 12x2 + 15X3 16*1 + 12x2 + 20x3 X1 20, X2 20, X3 20. (Do not factor. Do not include the $ symbol in your answers.)