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- please solve D only (a) What is the cycle time necessary to achieve the desired rate of production? =12min(b) Using the longest element rule, create workstations to balance the line,attempting to get as close as possible to the theoretical minimum numberof workstations.(c) What is the efficiency and idle time of the line balance? =72.22%(d) The company considers that if the lamps are successful with the publicit may need to increase production to 30,000 units. The company thinksthe simplest solution is to obtain two more production lines, thus havingtriple capacity. Another option is to re-balance the line. Considering thata single worker is assigned to a work station, determine which option(more production lines or re-balancing) yields the smallest labour size.How does Goldratt’s Theory of Constraints (TOC) differ from other current approachesto continuous improvement in organizations? How is it similar?2. State the global performance measurements and operational performance measurementsand briefly define each. How do these differ from traditional accounting measurements?3. Most manufacturing firms try to balance capacity for their production sequences. Somebelieve this is an invalid strategy. Explain why balancing capacity does not work.1. What’s the cycle time for this production line?2. What’s the theoretical minimum number of workstations that should be set up?3. List the paths for this problem.4. Draw the precedence diagram for this problem.5. How many workstations should be set up in this production line?6. Which tasks should be performed in each workstation?7. Draw the diagram of the production line.8. Calculate the efficiency of the production line.
- 5.2 The Brian Electronics Company produces two products: (1) the Brian Walkman, a portable CD/DVD player, and (2) the Brian Watch-TV, a wristwatch-size internet-connected colour television. The production process for each product is similar in that both require a certain number of hours of electronic work and a certain number of labour-hours in the assembly department. Each Walkman takes 4 hours of electronic work and 2 hours in the assembly shop. Each Watch-TV requires 3 hours in electronics and 1 hour in assembly. During the current production period, 240 hours of electronic time are available, and 100 hours of assembly department time are available. Each Walkman sold yields a profit of R7; each Watch-TV produced may be sold for a R5 profit.5.2.1 Formulate the constraints for this problem.5.2.2 Represent these constraints graphically and clearly indicate the feasible region.5.2.3 What is the objective function in terms of ??1 and ??2 that will maximize the profit in Brian Electronics…Based on the following sensitivity report, how much should the firm be willing to pay for 53 more units of Resource_C? Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 5 2 1E+30 $B$3 Product_2 175 0 7 1E+30 1 $B$4 Product_3 0 −1.5 9 1.5 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 80 $H$10 Resource_B 525 0 800 1E+30 270 $H$11 Resource_C 700 1.11 700 180 75 (Round your answer to 2 decimal places.) Units of resources Cable 4-4 on page 197 shows a relation called GRADE REPORT for a university. Your assignment is as follows: Draw a relational schema and diagram the functional dependencies in the relation. In what normal form is this relation? Decompose GRADE REPORT into a set of 3NF relations. Draw a relational schema for your 3NF relations and show the referential integrity constraints (as shown in Figure 4-5 on page 163). Draw an ER-diagram for your answer to part d above.
- Supertronics, Inc., would like to know how the firm’s profit-ability is altered by product mix. Currently, product mix isdetermined by giving priority to the product with the highestper-unit contribution margin (defined as the difference be-tween price and material cost). Details on the Supertronicsproduct line, including processing time at each workstation,follow:a. Assume that Supertronics has 5,500 minutes of capacityavailable at each workstation each week. Develop a linearprogram to define the production mix that maximizescontribution margin.b. Solve your formulation using a computer package such asPOM for Windows. c. Given your solution for part (b), which machine is thebottleneck?d. How would your formulation and solution in part(b) change if 50 units of each product were alreadycommitted to customers and thereby had to beproduced?A manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Customer (requirement) Factory (capacity) Customer 1 (125) Customer 2 (150) Customer 3 (175) Customer 4 (75) A (100) $ 15 $ 10 $ 20 $ 17 B (75) $ 20 $ 12 $ 19 $ 20 C (100) $ 22 $ 20 $ 25 $ 14 D (250) $ 21 $ 15 $ 28 $ 12 How many arcs will the network have?1. Transportation costs per ton of product vary with distance. For trucks the function is: TCt = 3+1.25d For rail it is: TCr = 5+d For barge it is: TCb = 6 + 1.1d where d is the distance in hundreds of miles and TC is dollars per ton. Make a table showing the least cost mode of transport for distances d = 1, 2, ...,10. Graph the problem and label the modal break points clearly. No graph paper, max 50% points on assignment.
- Although the problems say solve graphically, please solve all problems using the QM for Windows software or solve manually. B.5 The Attaran Corporation manufactures two electrical products: portable air conditioners and portable heaters. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling Each heater must go through 2 hours of wiring and 1 hour of drilling. During the next production period, 240 hours of wiring time are zvailable and up to 140 hours of drilling time may be used. Each air conditioner sold yields a profit of $25. Each heater assembled may be sold for a $15 profit. Formulate and solve this LP production-mix situation, and find the best combination of air conditioners and heaters that yields the highest profit.19. What combination of x and y will yield the optimum for this problem? Maximize $3x + $15y, subject to (1) 2x + 3y ≤ 12 and (2) 5x + 2y ≤ 10 and (3) x, y ≥ 0. Part 2 A. x = 0, y = 3 B. x = 2, y = 0 C. x = 0, y = 0 D. x = 0, y = 4 E. x = 1, y = 5LPP Model Maximize P = 12x + 10y Subject to : 4x + 3y < 480 2x + 3y < 360 x, y > 0 Which of the following points (x, y) is feasible?