Old MathJax webview

Old MathJax webview

please zoom image image is clear .please solve it in 2 hours i will upvote you

A bike producing firm produces a product family of bikes for kids and has done so for more than 30 years. These bikes are available in 3 colors (green, blue and red), with 2. trame sizes (20 and 26 inches) as well as three different gear/shitts (completely without, 3 gears and 7 gears). The market is mature, rather price competitive but with a stable demand. Bikes are typically distributed by local hardware stores. How many different kinds of bikes are they potentially producing based on the above information?

A new sales manager is proposing to the management team to develop and produce a new kind of trendy bike popular among youths, a black low-rider with fixed gears (no freewheel mechanism). This new segment is rather sensitive to product performance and require advanced integrated products of high quality, but according to the sales manager the revenues is potentially going to be rather high due to high sales prices if the firm manage to be among the first on the market. Assume you are the operations manager for this firm (responsible for production and product development, which problems and arguments against developing and starting up production of this kind of product in the existing firm and production system can you think of?

please solve it now in 30 minutes

Q2 25P Queuing A highway bridge is partially shut down to do some maintenance roadwork. Instead of having full three lanes, only one lane is now open so that workers can carry on their activities with safety from the passing traffic. In fact, such a 'bottleneck' commonly creates a queue in front of the roadwork. This can roughly be modelled as a M/C/1 system, traffic arriving in a Poisson like pattern forming a potentially infinite queue, and then passing the site of the roadwork in a steady pass one-after one with a fixed speed and safe fixed distance between the vehicles on a single lane. Cars usually arrive to the bridge at a rate on 18 car/min in a Poisson like pattern. Cars go over at a steady slow pace with an even minimal safe distance between, at a rate of 1 car every 3rd second. 1. a) The queue is now 10 cars long in front of the bridge. Is this an unusually long queue? 2. b) How long time will the car arriving to this queue, as it is right now, have to wait until it can pass the bridge? 3. c) What happens to the characteristics of the outflow from a M/C/1 system in which inflow is displaying high variance (assume Poisson like distribution) when the capacity of the system approaches its full utilization (that is capacity equals the average flow rate)? 4. d) What is the advantages and disadvantages of applying such a setup in a LEAN production system? Q2 25P Queuing A highway bridge is partially shut down to do some maintenance roadwork. Instead of having full three lanes, only one lane is now open so that workers can carry on their activities with safety from the passing traffic. In fact, such a 'bottleneck' commonly creates a queue in front of the roadwork. This can roughly be modelled as a M/C/1 system, traffic arriving in a Poisson like pattern forming a potentially infinite queue, and then passing the site of the roadwork in a steady pass one-after one with a fixed speed and safe fixed distance between the vehicles on a single lane. Cars usually arrive to the bridge at a rate on 18 car/min in a Poisson like pattern. Cars go over at a steady slow pace with an even minimal safe distance between, at a rate of 1 car every 3rd second. 1. a) The queue is now 10 cars long in front of the bridge. Is this an unusually long queue? 2. b) How long time will the car arriving to this queue, as it is right now, have to wait until it can pass the bridge? 3. c) What happens to the characteristics of the outflow from a M/C/1 system in which inflow is displaying high variance (assume Poisson like distribution) when the capacity of the system approaches its full utilization (that is capacity equals the average flow rate)? 4. d) What is the advantages and disadvantages of applying such a setup in a LEAN production system