Lecture 6 Location Strategy Location Long term Cost and Revenue Decision Determine fixed and variable costs Transportation cost can account as much as 25% of product selling price • Raw material coming in and going out, Taxes, Wages, Raw material, Ill trained labour, Poor ethic, Energy costs The above are firmly in place, difficult to reduce, start at a disadvantage or advantage Location Strategy = f(type of firm being considered) Industrial plant Service Organisation (Objective is to minimise costs) (Objective is to maximise profit) Location Strategy is about maximising benefit from location of the firm. Location Considerations Labour Productivity and Wage Rate Exchange rates Costs • Tangible Costs Utilities, labour, material, taxes, depreciation, transportation costs, site construction… • Intangible costs Quality of education, Public infrastructure, Community attitude, Attitude of employees, Climate, Sport facilities… Techniques Weighted Approach to Evaluation 1. Develop a list of relevant factors 2. Assign a weight to each factor to reflect its relative importance in the company’s objective 3. Develop a scale for each factor (1-10 or 1-100) 4. Have management score each location of each factor using the scale 5. Multiply the score by the weights for each factor, and total the score for each location Prepared by: Dr D.K Hurreeram August 04 Lecture 6 Location Strategy 6. Make a recommendation based on the maximum point score, considering the results of quantitative approaches as well. Factor Weight Labour Scores out of 100 Weighted Scores ABC DEF ABC DEF 70 60 17.5 15 0.25 cost Total 1.00 Factors Labour costs Wages, Unionisation, Changes in wages Changes in unionisation Availability and Productivity of Resources Available workforce, Energy costs Value added, Labour hours lost State and Local Government Fiscal Policies Expenditure v/s personal income growth Tax effort, Changes in taxes State business incentives Debt growth v/s personal income growth State Regulated Employment costs Workers compensation insurance levels Unemployment compensation benefits Average workers’ compensated insurance cost per case Unemployment compensation Other issues Education, Cost of living Transportation, Health care Prepared by: Dr D.K Hurreeram August 04 Weight Lecture 6 Location Strategy Locational Break Even Analysis Use of cost-volume analysis to make an economic comparison of location alternatives. 1. Determine the fixed and variable cost for each location 2. Plot the costs for each location, with costs on the vertical axis of the graph and annual volume on the horizontal axis 3. Select the location that has the lowest total cost for the expected production volume Example The Transportation Technique Objective is to determine the best pattern of shipments from several points of supply (sources) to several points of demand (destinations) so as to minimise total production and transportation costs. There is given production capacity of goods at each source of supply and a given requirement for the goods at each destination. (Network of demand and supply problem). 1) Determine the capacity at each factory, requirements at each warehouse, and cost of shipping from each source to each destination. 2) Set up a transportation matrix with the above information. 3) Develop an initial solution – North West Corner Rule (initial solution) a) Start in the upper left-hand cell and allocate units to shipping routes as follows: i) Exhaust the supply (factory capacity) of each row before moving down to the next row ii) Exhaust the (warehouse) requirements of each column before moving to the next column on the right iii) Check that all supplies and demands are met 4) Use the Stepping-Stone Method to come up with the optimal solution as follows a) Select any unused square to evaluate b) Beginning at this square, trace a closed path back to the original square via squares that are currently being used (only horizontal and vertical moves are permissible). You may, however, step over either an empty or an occupied square. Prepared by: Dr D.K Hurreeram August 04 Lecture 6 Location Strategy c) Beginning with a plus (+) sign at the unused square, place alternative minus and plus signs on each corner square of the closed path just traced d) Calculate an improvement index by adding the unit cost figures found in each square containing a plus sign and then by subtracting the unit costs in each square containing a minus sign e) Repeat steps (a)-(d) until you have calculated an improvement index for all unused squares. If all indices computed are greater or equal to zero, you have reached an optimal solution. If not, it is possible to improve the current solution and decrease total shipping costs. ** f) Improvement The maximum quantity that may be shipped on the newly opened route is the smallest number found in the squares containing minus signs. 5) If demand does not equal to supply, use dummy sources or dummy destinations. In each case we assign cost coefficients of zero to each square on the dummy location because in fact these units will not be shipped. 6) Check that the number of occupied squares in any solution (initial or later) must be equal to the number of rows in the table plus the number of columns minus 1. Solutions that do not meet this rule are called degenerate. 7) You may use the Modified Distribution Method (MODI) to compute improvement indices for each unused square without drawing all of the closed paths. a) Begin with the initial solution using the North West Corner Rule b) Compute a value for each row as Ri c) Compute a value for each column as Ki d) Compute Cij, the cost of shipping from source i to destination j i) To compute the value for each row and column, set Ri + Kj = Cij but only for occupied cells. ii) After you have written all equations, set R1 = 0 iii) Solve the system of equations for all R and K values iv) Compute the improvement index for each unused square by the formula • Index = Cij – Ri – Kj v) Select the largest negative index and proceed to solve the problem as you did using the stepping stone method. Example Prepared by: Dr D.K Hurreeram August 04