Question.4355 - Homework Assignment 5Details1. Supposed the diagram below shows the precedence relationship with respective flow times for a certain one unit of an item to go through different workstations in a production system. The line operates eight hours per day.A: (0.1 min) --> B: (0.7 min) --> C: (1.0 min) --> D: (0.5 min) --> E: (0.2 min)a) What is the per minute flow rate at workstation E?b) Which workstation is the bottleneck?c) What is the daily output of this system? 2. A company would like to reduce its inventory cost by determining the optimal number to obtain per order. The annual demand is 1,000 units; the setup and ordering cost is $10 per order; and the holding cost per unit per year is $.50.a) What is the optimal number of units per order?b) Assuming a 250-day working year, what is the number of orders and the expected time between orders?c) What are the total annual inventory costs?d) If management underestimates total annual demand by 50%, how much would the annual inventory cost increase by? 3. An Apple distributor has a demand for 8,000 iPads per year. The firm operates a 250-day working year. On average, delivery of an order takes 3 working days. What is the reorder point? 4. The Warren W. Fisher Computer Corporation purchases 8,000 transistors each year as components in minicomputers. The unit cost of each transistor is $10, and the cost of carrying one transistor in inventory for a year is $3. Ordering cost is $30 per order.What are a) the optimal order quantity, b) the expected number of orders placed each year, and c) the expected time between orders? Assume a 200-day working year. 5. Annual demand for notebook binders at a stationary shop is 10,000 units. The business owner operates her business 300 days per year and finds that deliveries from her supplier generally take 5 working days. Calculate the reorder point for the notebook binders. You can refer to this rubric for expectations for this homework assignment: MGT 360 OT1 Homework and Discussion Rubric, Spring 2025.pdf: MGT 360 OT 1 - Operations and Logistics Management
Answer Below:
Homework xxxxxxxxxx Quincy xxxxxxxxxxxxx Given x min xx B xxx -- x min xx D xxx -- x min xxx system's xxxxx cycle xxxx is xxxxxxxxxx by xxx bottleneck xxxxxxxxxxx C xxxx min xxxxxx Chase xxxxxxxxxxx one xxxx is xxxxxxxx every xxxxxxx Since xxx system xxxxxxxxx one xxxx per xxxxxx the xxxx rate xx workstation x is xxxx Rate xxxx min xxxx per xxxxxxxxxx the xxxxxxxxxx flow xxxx at xxxxxxxxxxx E xx unit xxx minute xxxxxxxxxxx C xxx is xxx bottleneck xx it xxx the xxxxxxx time xxxxxx Chase xxx bottleneck xxxxxxxxxxx determines xxx system's xxxxx output xxx sets xxx production xxxxxxxx overall xxxxx time xxx bottleneck xxxxxxxxxxx is x which xxx the xxxxxxx processing xxxx of xxxxxx per xxxx This xxxxx the xxxxxx produces xxx unit xxxxx minute xxx production xxxx needs xx be xxxxxxxxx to xxxxxxx since xx runs xxx eight xxxxx every xxx hours xxx hour xxxxxxx dayGiven xxxx one xxxx is xxxxxxxx every xxxxxxx the xxxxx total xx units xxxxxxx is xxxxxxx per xxx minute xxx unit xxxxx dayThe xxxxx output xx the xxxxxx is xxxxx Answer xxx optimal xxxxxx of xxxxx per xxxxx can xx determined xxxxx the xxxxxxxx Order xxxxxxxx EOQ xxxxxxx Jacobs xxxxx EOQ xx HWhere x Annual xxxxxx unitsS xxxxx and xxxxxxxx cost xxx order x Holding xxxx per xxxx per xxxx Therefore xxx optimal xxxxxx of xxxxx per xxxxx is xxxxx The xxxxxx of xxxxxx per xxxx N xx given xx N x EOQ xxxxxx Chase xxxxx D xxxxx per xxxx annual xxxxxx EOQ xxxxx per xxxxxxxxxxxxxx N xxxxxx year xxx Working xxxx per xxxx Number xx orders xxx year xxx expected xxxx between xxxxxx T xxxx per xxxxxxxxxx Annual xxxxxxxxx Cost xxxxxxxx Cost xxxxxxx Cost xxxxxx Chase xxxxxxxx Cost xxxxxxx Cost xxx H xxxxx Annual xxxxxxxxx Cost xxx total xxxxxx inventory xxxx is xx management xxxxxxxxxxxxxx demand xx the xxxxxx annual xxxxxx is xxxxxx Chase xxxxxxxxxx the xxx formula xx have xxxxxxxx Ordering xxxx New xxxxxxx Cost xxx Total xxxxxxxxx Cost xxxxxxxx in xxxx New xxxxx Cost xxx Total xxxx - xx the xxxxxx inventory xxxx rises xx making xxx total xxxx if xxxxxx is xxxxxxxxxxxxxx Answer xxx inventory xxxxx at xxxxx an xxxxx should xx made xx order xx prevent xxxxxxxxx is xxxxx as xxx reorder xxxxx ROP xxxxxx Chase xxx lead xxxx demand xx the xxxxxxxx of xxxxx required xx the xxxx it xxxxx to xxxxxxx a xxx order xx the xxxxx for xxx calculation xxx Demand xxx day xxxx time xx days xxxxxx Chase xxx annual xxxxxx is xxxxx and xxx firm xxxxxxxx days xxx year xxx demand xxx day xx iPads xxx dayThe xxxx time xx working xxxx Thus xxx reorder xxxxx is xxxxx per xxx iPads xxx reorder xxxxx is xxxxx Answer xxxxxx demand x transistorsUnit xxxx C xxx directly xxxxxxxx for xxx Holding xxxx per xxxx per xxxx H xxxxxxxx cost xxx order x Working xxxx daysThe xxxxxxxx Order xxxxxxxx EOQ xx units xxx number xx orders xxx year xx given xx orders xxxx The xxxxxxxx time xxxxxxx orders xx days xx days xxxxxxxxx Optimal xxxxx quantity xxx unitsExpected xxxxxx of xxxxxx per xxxx ordersExpected xxxx between xxxxxx daysAnswer xxx inventory xxxxx at xxxxx a xxxxx order xxxxxx be xxxxxx in xxxxx to xxxxxxx stock xxxx during xxx lead xxxx is xxxxx as xxx reorder xxxxx ROP xxx Demand xxx day xxxx time xx days xxxxxx Chase xxxxx are xxxxxx annually xxx the xxxxxxx is xxxx for xxxxxxxx days x year xxx daily xxxxxx is xxxxx dayROP xxxxx per xxx days xxxxxxxx reorder xxxxx for xxx notebook xxxxxxx is xxxxxxxxxxxxxxx R xxxxxx and x B xxxxx Operations xxx Supply xxxxx Management xx ed xxxxxx HillMore Articles From MGT 360 OT 1 - Operations and Logistics Management
.ico)
.ico)
.ico)
.ico)
