Q2b A company consists of three factories in different locations, dstributing its products to four governorates. The monthly production volume for each factory the governorate's needs, and transportation costs are shown in the following tuble. 1 3 4 at A 4 1 3 20 10 1 2 4 12 4 5 10 bj 16 11 10 Calculate the cost of monthly transportation using 1-Least Cost Method 2- Penalty Method
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- Method of Least Squares, Goodness of Fit Deepa Dalal opened a free-standing radiology clinic. She had anticipated that the costs for the radiological tests would be primarily fixed, but she found that costs increased with the number of tests performed. Costs for this service over the past nine months are as follows: Month Radiology Tests Total Cost January 2,800 $133,500 February 2,600 135,060 March 3,100 175,000 April 3,500 170,600 May 3,400 176,900 June 3,700 186,600 July 3,840 174,450 August 4,100 195,510 September 3,450 185,300 Required: 1. Compute the cost formula for radiology services using the method of least squares. If required, round your answers to two decimal places. Y = + X 2. Using the formula computed in Requirement 1, what is the predicted cost of radiology services for October for 3,500 appointments? (Round the answer to the nearest dollar.)A trucking firm handles four commodities for a particular distributor. Total shipments for the commodities in the years 2000 and 2015, as well as the prices in the year 2000, are reported in the following table. Commodity Shipments Price/Shipment2000 2000 2015 A 120 90 $1,200 B 86 73 $1,800 C 35 50 $2,000 D 60 70 $1,500 Develop a weighted aggregate quantity index with a 2000 base. (Round your answer to the nearest integer.) I2015 = ______Find an initial basic feasible solution for a given transportation problem by using Vogel's approximation method D1 D2 D3 D4 Supply S1 11 13 17 14 250 S2 16 18 14 10 300 S3 21 24 13 10 400 Demand 200 225 275 250
- Problem 10-05 (Algorithmic) The Metropolitan Bus Company (MBC) purchases diesel fuel from American Petroleum Supply. In addition to the fuel cost, American Petroleum Supply charges MBC $225 per order to cover the expenses of delivering and transferring the fuel to MBC's storage tanks. The lead time for a new shipment from American Petroleum is 10 days; the cost of holding a gallon of fuel in the storage tanks is $0.07 per month, or $0.84 per year; and annual fuel usage is 105,000 gallons. MBC buses operate 210 days a year. What is the optimal order quantity for MBC?Q* = __________________ How frequently should MBC order to replenish the gasoline supply?______________orders per year The MBC storage tanks have a capacity of 15,000 gallons. Should MBC consider expending the capacity of its storage tanks?Metropolitan Bus Company does not need to expand the capacity of its storage tanks. What is the reorder point?r = ______________ gallonsProblem 10-05 (Algorithmic) The Metropolitan Bus Company (MBC) purchases diesel fuel from American Petroleum Supply. In addition to the fuel cost, American Petroleum Supply charges MBC $300 per order to cover the expenses of delivering and transferring the fuel to MBC's storage tanks. The lead time for a new shipment from American Petroleum is 10 days; the cost of holding a gallon of fuel in the storage tanks is $0.03 per month, or $0.36 per year; and annual fuel usage is 240,000 gallons. MBC buses operate 300 days a year. What is the optimal order quantity for MBC?Q* = 20,000 How frequently should MBC order to replenish the gasoline supply?fill in the blank orders per year The MBC storage tanks have a capacity of 15,000 gallons. Should MBC consider expending the capacity of its storage tanks?Metropolitan Bus Company the capacity of its storage tanks. What is the reorder point?r = fill in the blank.Consider the following matrix for transportation problem: using VAM as IBFS and apply Modi method to find out the optimal solution. Market-1 Market-2 Market-3 SupplyCompany-1 5 4 6 65Company-2 7 4 7 42Company-3 8 6 7 43Demands 70 30 50 Balanced
- An entrepreneurial resident of the Oklahoma City metropolitan area is interested in securing a new franchise for Mad Over Donuts. Ideally this franchise would be centrally located so delivery could be economically handled and all citizens could enjoy fresh, delicious donuts delivered to the doorstep. The main cities and anticipated demand (in thousands per day) are shown in Table 2. What is the appropriate (non-linear) objective function for this scenario (hint: distances are euclidean)? Zoey’s Catnip Toys faces the following relationship between price (p) and demand (v): v = 2000 − 200p. The fixed cost is $500 and variable cost is $1. Write an expression for the total profit. What price should Zoey charge to maximize profit in question b.?Oranges are grown, picked and then stored in warehouses in Tampa, Miami, and Fresno.Theses warehouses supply oranges to markets in New York, Philadelphia, Chicago, and Boston.The following table shows the shipping costs per truckload (in hundreds of dollars), supply, anddemand. Because of an agreement between distributors, shipments are prohibited from Miamito Chicago:To (cost, in $100)From New York Philadelphia Chicago Boston SupplyTampa 9 14 12 17 150Miami 11 10 6 10 250Fresno 12 8 15 7 200Demand 110 250 140…given the transportation problem, assume that the demands at the 4 destinations are 5, 5, 7, and 8 units, respectively, and the supplies at the 4 sources are 7, 3, 7 and 8 units, respectively.C₁₁=7ㅤ C₁₂=9ㅤ C₁₃ = 1ㅤ C₁₄ = 10 C₂₁= 22ㅤ C₂₂ = 25ㅤ C₂₃ = 16ㅤ C₂₄ = 26 С₃₁ = 28ㅤ C₃₂ = 32ㅤ C₃₃ = 24ㅤ Сз₄ = 32 C₄₁ = 12ㅤ C₄₂ = 14ㅤ C₄з = 6ㅤ C₄₄ = 16where m=4, n=4what is the optimal solution using vogel's approximation method, least-cost method, and northwest-corner rule?
- The MGMT Insurance Ltd. accepts payments on various insurance policies fromemployees of businesses across the island. These businesses deduct payments fromemployees’ salaries and pay the insurance company a lump sum each month. This totalamount deducted is shown on each employee’s payslip.Deductions are due at the end of each month and each participating business submits onepayment for its employees to the insurance company via online payments through thebank. However, if payments were received after 11:00 a.m., the bank does not processthem until the next business day. At the beginning of each month an administrativeassistant at MGMT Insurance Ltd. downloads the deductions for each company andallocates payments to the various policies. These payments include the client’s uniquenumber along with his/her relevant policy numbers and amounts due.However, recently there has been some complaints that payments for some policies werenot being allocated correctly. Additionally, assume that one…The MGMT Insurance Ltd. accepts payments on various insurance policies fromemployees of businesses across the island. These businesses deduct payments fromemployees’ salaries and pay the insurance company a lump sum each month. This totalamount deducted is shown on each employee’s payslip. Deductions are due at the end of each month and each participating business submits onepayment for its employees to the insurance company via online payments through thebank. However, if payments were received after 11:00 a.m., the bank does not processthem until the next business day. At the beginning of each month an administrativeassistant at MGMT Insurance Ltd. downloads the deductions for each company andallocates payments to the various policies. These payments include the client’s uniquenumber along with his/her relevant policy numbers and amounts due.However, recently there has been some complaints that payments for some policies werenot being allocated correctly. Additionally, assume that…The MGMT Insurance Ltd. accepts payments on various insurance policies fromemployees of businesses across the island. These businesses deduct payments fromemployees’ salaries and pay the insurance company a lump sum each month. This totalamount deducted is shown on each employee’s payslip.Deductions are due at the end of each month and each participating business submits onepayment for its employees to the insurance company via online payments through thebank. However, if payments were received after 11:00 a.m., the bank does not processthem until the next business day. At the beginning of each month an administrativeassistant at MGMT Insurance Ltd. downloads the deductions for each company andallocates payments to the various policies. These payments include the client’s uniquenumber along with his/her relevant policy numbers and amounts due.However, recently there has been some complaints that payments for some policies werenot being allocated correctly. Additionally, assume that one…