Question

A manufacturer of bicycles builds 1-,3- and 10-speed models. The bicycles are made of both aluminum company has available 60,000 units respectively, 15, 20 and 25 units of steel and 24, 18, and 30 units of aluminum. The company $16 per 3-speed, and $40 per 10-speed. Use the simplex method to complete parts (a) and (b) of steel and 73.920 units of aluminum. The 1-, 3-, and 10-speed models need (a) How many of each type of bicycle should be made in order to maximize proter? What is the maximum profir? set up the linear programming problem. Let xỉ. x2, and x3 represent the numbers of 1, 3- and 10-speed bicycles respectively, and let z be the total profit. subject to 15x+20%2+25x 24x1+ 18x2+30x3 x1 20, x2 20, x3 20. (Do not factor. Do not include the $ symbol in your answers.) The maximum profit is $ (Type whole numbers.) (b) Explain what the values of the slack variables in the optimal solution mean in the context of the problem, Select the To get that profit, the company should make 1-speed bicycle(s). 3-speed bicycle(s), and 10-speed bicycle(s) correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. When the profit is maximized, all of the steel is used but units of aluminum remain unused (Type a whole number.) When the profit is maximized, all of the available aluminum and steel is used. When the profit is maximized, all of the aluminum is used butunits of steel remain unused. (Type a whole number.) O B. O C. O D. When the profit is maximized, some of each material remains unused. Specifically units of aluminum and units of steel remain unused. Type whole numbers.) (1) O Minimize (2) O (3) O O Maximize

Answer 1

Answer is in 1st picture...any query then comment below...

ta X 1 mm t Spee b)

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