QUESTION ONE (a) A factory works 8 hours a day, producing three products namely A, B and C. each of these products is processed in three different operations namely 1, 2 and 3. The processing times in minutes for each of these products in each of the operations are given below along with utilization of the processes and the cost and price in kwachas for each of these three products which have unlimited demand. Product Processing time (mins) in operation 2 Cost/unit Price/unit 3 (K) (K) A. 4 3 10 16 B 4 8. 12 3. 4 5 10 Utilisation 80% 70% 90% i. Formulate a linear programming model for this problem. Determine the optimal product mix using the simplex method. Give the interpretations for the values obtained in the final simplex table. ii. iii.
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- Q5) Metters Cabinets, Inc., needs to choose a production method for its new office shelf, the Maxistand. To help accomplish this, the firm has gathered the following production cost data. Metters Cabinets projects an annual demand of 24,000 units for the Maxistand. The Maxistand will sell for $120 per unit. Which process type will maximize the annual profit from producing the Maxistand? What is the value of this annual profit? Annualized fixed Variable costs (per unit) ($) cost of plant & Process type equip. LABOR MATERIAL ENERGY Mass Customization $1,260,000 30 18 12 Intermittent $1,000,000 24 26 20 Repetitive $1,625,000 28 15 12 Continuous $1,960,000 25 15 10QUESTION 2 NAK Consult Ltd is a construction company with many contracts being executed concurrently. A large number of workers are on various construction sites. NAK Consult Ltd has an internal audit department and the team is currently reviewing cash wages systems within the company. The following information is available concerning the wages systems: • Workers on each site are controlled by a foreman. The foreman has a record of all employee numbers and can issue temporary numbers for new employees. • Any overtime is calculated by the computerized wages system and added to the standard pay. • The two staff in the wages department make amendments to the computerized wages system in respect of employee leave, illness, as well as setting up and maintaining all employee records. • The computerized wages system calculates deductions from gross pay, such as employee taxes (PAYE), and other statutory deductions. • Finally, a list of net cash payments for each employee is produced. Cash is…QUESTION TWO * Blue Inc. produces a product that has a 6 month demand cycle, as shown below. Each unit requires 10 worker hours to produce, at a labour cost of K6, 000 per hour regular rate or K9, 000 per hour overtime rate. The total cost per unit is estimated at K200, 000 but units can be subcontracted at a cost of K208, 000 per unit. There are currently 20 workers employed in the subject department, and hiring and training costs for additional workers are K300,000 per person; whereas layoff costs are K400,000 per person. Company policy is to retain a safety stock equal to 20% of the monthly forecast, and month's safety stock becomes the beginning inventory for the next month. There are currently 50 units in stock carried at a cost of K2, 000 per unit month. Unit shortage, or stockpots, has been assigned a cost of K20, 000 per unit month. February March April 400 100 21 21 168 May 200 22 176 June 300 20 January 300 Forecast demand 500 Work days 22 19 176 152 168 160 Work hour at 8…
- I need help with this question 6Ex 4.12 Formulate the linear programming model of the following problems. Titan Credit Card Marketing works for HSBC to verify and approve credit card application. TCCM receives P380 for every completed customer application. The company maintained three call agents targeting at P20,000 worth of approvals daily, altogether. In a regular working day, James can process as much as P3000 worth of applications. Mark can process twice as much as Tim. How many credit cards should each call agent process to achieve the target for the day. Formulate the LP modelQuestion 3 Best Technology (BT) is a leading manufacturer of adhesives used in a variety of industrial applications. BT produces two types of industrial adhesives in its Texas plant for the US market. The two types of adhesives are produced using the same production technology and equipment. They have identical characteristics except their adhesive strengths which are determined by the last production step of mixing with different chemicals. The demands for the two types of adhesives are independent and their weekly demands in the US distribution centre (DC) are approximately normally distributed with their means and standard deviations given below. Adhesives Type I Adhesive Type II Adhesive Mean (kg) Standard Deviation (kg) 9,000 10,000 4,000 3,000 The replenishment lead time of the adhesives from BT's manufacturing plant to the US DC is 4 weeks. The current adhesive production cost is $100/kg, the cost of shipping the adhesive from the plant to the DC is $20,000, and the annual…
- Question 1: Market planning, Inc. a marketing research firm, has obtained the prescription sales data for 20 independent pharmacies (attached). In this table y is the average weekly prescription sales over the past year (in units of $1,000), x1 is the floor space (in square feet), x2 is the percentage of floor space allocated to the prescription department, x3 is the number of parking spaces available to the store, x4 is the weekly per capita income for the surrounding community (in units of $100), and x5 is a dummy variable that equals 1 if the pharmacy is located in a shopping center and 0 otherwise. Regress average weekly prescription sales against different combinations of the independent variables. What is the best model? Discuss what the parameter coefficients say about prescription sales.Question 27 A report in Access can be generated using data from: Table or Ouery B) Table Object QuerySubject Name: Simulation & Modelling Q. Describe the following : • Simulation of a Multi-server queueing system • Simulation of an inventory system