only need 6. answered. ive attached 5. for reference

6. The Answer Report for the above problem is provided below: Optimal Objective Value $71,250 Reduced Cost Variable X1 0 X2 X3 X4 Value 50 0 25 140 -60 0 0 Constraint #1 - Carbon Alloy Availability, lbs #2 - Manufacturing Time, hrs #3 - Combined Production Total #4 - Min # of Aerodyne Max Slack/Surplus 0 0 Dual Value 50 5 0 -75 15 0 For the next production period, how many of each cycle should be made? (a) # of Men's Aerodyne bikes = (b) # of Men's Road Ranger bikes = (c) # of Women's Lady Aerodyne (d) # of Featherweight Flyers What is the optimal expected profit? $ 5. Cannon Cycles produces a number of aerodynamic and long distance road bikes for cycling enthusiasts which are sold on-line. For the upcoming production period, four specific models will be produced because of increased demand after the recent Tour de France in August. They are: a Men's Aerodyne Max; a Men's Road Ranger; a Women's Lady Aerodyne; and a Featherweight model for mountain racing. The four models all use a special carbon alloy. The amount of alloy required for each model is summarized in the table below along with the anticipated profit per bike and the manufacturing time required. There are 1250 lbs of carbon alloy and 2500 hours of manufacturing time are available during the next production period. X-Aerodyne Max X-Road Ranger X-Lady Aerodyne X-Featherweight Flyer UnitPro S/be 400 300 375 300 Carbon Alloy. Ibs 8 6 6 5 Manufacturing Time, hers 15 12 14 10 There must be a combined production of at least 200 bikes. Lastly, at least 50 of the Men's Aerodyne Max Bikes must be produced. In the space below, write the objective function and ALL constraints for this problem using the above decision variables as defined. (eg, X1 = # of Men's Aerodyne Max bikes; X2 = # of Road Ranger bikes, etc.)