4. The table shows projected cost for all possible combinations of four workers and job waiting processing. Find the optimal pairings. Values are in thousand pesos. Worker Job A Ada Bob Chot 500 Job B 800 250 450 Job с 700 750 Job D Dolly 450 200 500 900 900 550 450 350 650 800
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- 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 = 5Wallace Heating is attempting to estimate its costs of manufacturing heating ducts for the comingyear using the high-low method. The cost driver is number of labor hours. Wallace determines thatthe high and low costs are $25,830 and $18,414, respectively, and the values for the cost driver are3,495 and 1,958 hours, respectively. What is the variable cost per hour?Jane Reed bakes breads and cakes in her home for parties and other affairs on acontract basis. Jane has only one oven for baking. One particular Monday morningshe finds that she has agreed to complete five jobs for that day. Her husband Johnwill make the deliveries, which require about 15 minutes each. Suppose that shebegins baking at 8:00 A.M.Job Time Required Promised Time1 1.2 hr 11:30 A.M2 40 min 10:00 A.M.3 2.2 hr 11:00 A.M.4 30 min 1:00 P.M.5 3.1 hr 12:00 NOON6 25 min 2:00 P.M.Determine the sequence in which she should perform the jobs in order tominimizea. Mean flow time.b. Number of tardy jobs.c. Maximum lateness.
- b. The Healthy Food Restaurant, a 24-hour restaurant, faces changing requirements from hour tohour. More workers are needed for peak hours, and fewer are needed in between. The followingTable 6 (below) shows the worker requirement for the first 12 hours in the restaurant:Table 6. Staff Requirement at the Healthy Food RestaurantTime Period 10AM11AM12PM1PM2PM3PM4PM5PM6PM7PM8PM9PMRequirement 8 10 12 12 9 7 6 7 9 10 12 8AssignedOn DutyOverstaffed8(i) You are required to apply the first-hour principle to staff each hour with the required number ofcafeteria staff, showing how many staff are on duty each given hour, the number of staffyou have assigned to work each hour and any overstaffing for each hour. i. Schedule the staff to work in 8-hour shifts.46. Ford is going to produce a new vehicle, the Pioneer,and wants to determine the amount of annual capacityit should build. Ford’s goal is to maximize the profitfrom this vehicle over the next five years. Each vehicle will sell for $19,000 and incur a variable production cost of $16,000. Building one unit of annual capacity will cost $2000. Each unit of capacity will alsocost $1000 per year to maintain, even if the capacityis unused. Demand for the Pioneer is unknown butmarketing estimates the distribution of annual demandto be as shown in the file P09_46.xlsx. Assume thatthe number of units sold during a year is the minimumof capacity and annual demand. Which capacity levelshould Ford choose? Do you think EMV is the appropriate criterion?Currently a company that designs Web sites has five customers in its backlog. The day when the order arrived, processing time, and promised due dates are given in the following table. The customers are listed in the order of when they arrived. They are ready to be scheduled today, which is the start of day 190. Customer Time SinceOrder Arrived(days ago) ProcessingTime (days) Due Date(days fromnow) A B C D E 10 8 6 3 2 20 12 28 24 32 26 50 66 58 100 a. Develop separate schedules by using the FCFS and EDD rules. Compare the schedules on the basis of average flow time and average days past due.b. Comment on the performance of the two rules relative to these measures. Which one gives the best schedule? Why?
- Let: X1=x and X2=y Let profit=z Refer to the image: 1. What is the value of Y? 2. What are the three constraints?Maximize f = x + y subject to the following constraints: x + 2y ≤ 8 -2x + 3y ≤ 2 x ≤ 4 ≤ x 0 ≤ y9/Samsung Company is producing Laptops and Tablets. They are deciding whether to use job-order costing or activity based costing. Based on next year’s budget, two cost pools have been developed with the following information: Particulars Laptops Tablets Overhead Assigned Direct labor hours 5000 10000 Sewing machine hours 500 300 OMR 400,000 Machine set up hours 100 400 OMR 200,000 Find out the pre-determined overhead rate if overhead is applied based on the direct labor hour rate. a. OMR 400 per hour b. OMR 40 per hour c. OMR 4 per hour d. OMR 4000 per hour
- Ekumfiman ceramic ltd produces ceramic vases for the hotels and supermarket in Ghana. Major customers include shoprite, melcom, holiday inn, airport view and flower people. The output and cost figures for the 4 weeks in April, 2020 are shown in the table below. The cost of labour and materials are GHS 9 an hour and GHS 5 a pound respectively. Weeks 1 2 3 4 Units of out put 3000 5000 6000 8000 Number of workers 5 5 6 7 Materials 320 590 780 1100 Hours per worker per week 50 60 68 80 1. Calculate the labour productivity in hours for each of the 4 weeks. 2. Calculate the total factor productivity for each week. 3. Calculate the total factor productivity for the month .MIn 150x+210y s.t. 3.8x+ 1.2y>=22.9 y>=5 y<=13 45X-30Y=255 X,Y>=0 Solve the linear problem graphically (X,Y)=( ) How many extreme points exist for this problemBased 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 C