Martha Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows:
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- A young engineer is considering establishing his own small company.An investment of Php 100,000 will be required which must be recovered in 15years . It is estimated that sales will be Php 150,000 per year and thatoperating expenses will be as follows:Material Php 40,000 per yearLabor Php 70,000 per yearOverhead Php 10,000 + 10% of sales/yearSelling expenses Php 5,000/yearThe young engineer will give up his regular job paying Php 150,000 per yearand devote full time to the operation of the business. This will result indecreasing labor by Php 10,000 per year , material cost by Php 7000 peryear, and overhead cost by Php 8000 per year. If the young engineer expectsto earn at least 20% on his capital, should he invest ?The topic is about Quantitive analysis and decision making. Problem: A firm just completed a new plant that will producemore than 500 different products, using morethan 50 different production lines and machines.The production scheduling decisions are criticalin that sales will be lost if customer demands arenot meet on time. If no individual in the firmhas experience with this production operationand if new production schedule must begenerated each week, why should the firmconsider a quantitative approach to theproduction scheduling problem?Please complete all work in excel. Use excel to make any necessary calculations and be sure to identify the answer, including units (if necessary). The Pyrotec Company produces three small kitchen appliances – waffle makers, egg cookers, and toasters. The three products have the following requirements: Resource Requirements Metal Materials/unit Plastic Materials /unit Labor hours/unit Waffle maker 3.1 lb 0.5 lb .7 Egg cooker 1.5 lb 0.7 lb 1 Toaster 2.0 lb 0.3 lb .5 Resource costs are $3 per pound of metal, $2.90 per pound of plastic and $10.00 per hour for labor. Available resources are 200 pounds of metal, 250 pounds of plastic and 350 hours of labor. Based on market research, the company expects the maximum demand for waffle makers is 50 and for egg cookers is 75. The company has a contract to supply 25 toasters to a local department store. Waffle makers will be sold for 24.99, egg cookers will be sold for 19.99 and…
- The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Vijay Gupta, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Gupta estimates that the labor hours required for the next four quarters are 6,500 , 12,500 , 19,500 , and 10,000 , respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $ 6,000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $ 19 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $ 12 per hour. The cost of hiring a worker is $ 3,600 , and the cost of laying off a worker is $ 1,000. Subcontracting is not permitted. (Hint: When calculating the number of workers,…Exercise 4 a) Write the objective function of this LP.b) Write the constraint of the basic element Y.c) Write the constraint that expresses"the factional contributions from each mine must add up to 1."d) What is the optimal fraction of a ton to be chosen from mine 4?e) To make the optimal fraction of a ton to be chosen from mine 4 non-zero, how should the cost per ton of ore from mine 4 change?f) If the minimum requirement amounts of basic element X increases to 7 tons, how much does the cost of a feasible blend (i.e., the value of the objective function) become?g) If the minimum requirement amount of basic element Z decreases to 25 tons, how much does the cost of a feasible blend (i.e., the value of the objective function) become?The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Vijay Gupta, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Gupta estimates that the labor hours required for the next four quarters are 6,500, 13,000, 20,000, and 9,500, respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $6,000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $18 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $12 per hour. The cost of hiring a worker is $3,400, and the cost of laying off a worker is $1,600. Subcontracting is not permitted. (Hint: When calculating the number of workers, make sure to round up to…
- The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Vijay Gupta, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Gupta estimates that the labor hours required for the next four quarters are 6,000, 12,500, 20,000, and 9,500, respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $6,000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $17 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $12 per hour. The cost of hiring a worker is $3,400, and the cost of laying off a worker is $1,800. Subcontracting is not permitted. (Hint: When calculating the number of workers, make sure to round up to the…Foodie Goodie is a small food processing plant. It produces three kinds of snacks: sunflower seeds, peanuts and broad beans. The plant’s production capacity is as follows: • if all the equipment produces sunflower seeds, it can produce 6 kg a day; • if all the equipment produces peanuts, it can produce 5 kg a day; • if all the equipment produces broad beans, it can produce 3 kg a day. Production is planned on a weekly basis (i.e., 5 working days), and the output of the week must be stored before delivery. It takes • 1.8 litres of space to store 1 kg of sunflower seeds; • 1.9 litres of space to store 1 kg of peanuts; • 1.3 litres of space to store 1 kg of broad beans. The total storage space available is 100 litres. Due to a commercial agreement with a restaurant, Foodie Goodie must deliver at least 5 kg of broad beans every week. The marketing department estimates that the weekly demand for sunflower seeds, peanuts and broad beans does not exceed 11 kg, 15 kg and 8 kg, respectively, so…Gerald Glynn manages the Michaels Distribution Center. After careful examination of his database information, he has determined the daily requirements for part-time loading dock personnel. The distribution center operates 7 days a week, and the daily part-time staffing requirements are LOADING... Day M T W Th F S Su Requirements 7 4 4 4 6 2 2 Find the minimum number of workers Glynn must hire. Prepare a workforce schedule for these individuals so that each will have 2 consecutive days off per week and all staffing requirements will be satisfied. Give preference to the S-Su pair in case of a tie. (Note: If there is a tie that cannot be broken by following the preference to the S-Su pair, choose the pair closest to the beginning of the considered week.) The minimum number of workers is 77 workers. (Enter your…
- Gerald Glynn manages the Michaels Distribution Center. After careful examination of his database information, he has determined the daily requirements for part-time loading dock personnel. The distribution center operates 7 days a week, and the daily part-time staffing requirements are LOADING... Day M T W Th F S Su Requirements 7 4 4 4 6 2 2 Find the minimum number of workers Glynn must hire. Prepare a workforce schedule for these individuals so that each will have 2 consecutive days off per week and all staffing requirements will be satisfied. Give preference to the S-Su pair in case of a tie. (Note: If there is a tie that cannot be broken by following the preference to the S-Su pair, choose the pair closest to the beginning of the considered week.) The minimum number of workers is 44 workers. (Enter your…Gerald Glynn manages the Michaels Distribution Center. After careful examination of his database information, he has determined the daily requirements for part-time loading dock personnel. The distribution center operates 7 days a week, and the daily part-time staffing requirements are LOADING... Day M T W Th F S Su Requirements 7 4 4 4 6 2 2 Find the minimum number of workers Glynn must hire. Prepare a workforce schedule for these individuals so that each will have 2 consecutive days off per week and all staffing requirements will be satisfied. Give preference to the S-Su pair in case of a tie. (Note: If there is a tie that cannot be broken by following the preference to the S-Su pair, choose the pair closest to the beginning of the considered week.) The minimum number of workers is nothing workers. (Enter…Tybee Industries Inc. uses a job order cost system. The following data summarize the operations related to production for January, the first month of operations: a. Materials purchased on account, $29,800. b. Materials requisitioned and factory labor used: Job Materials Factory Labor 301 $ 2,960 $2,775 302 3,620 3,750 303 2,400 1,875 304 8,100 6,860 305 5,100 5,250 306 3,750 3,340 For general factory use 1,080 4,100 c. Factory overhead costs incurred on account, $5,500. d. Depreciation of machinery and equipment, $1,980. e. The factory overhead rate is $54 per machine hour. Machine hours used: Job Machine Hours 301 25 302 36 303 30 304 72 305 40 306 25 Total 228 f. Jobs completed: 301, 302, 303 and 305. g. Jobs were shipped and customers were billed as follows: Job 301, $8,250; Job 302, $11,200; Job 303, $15,000. Required: 1. Journalize the entries to record the…
