please make sure to solve as transportation problem
Problem 1: Transportation problem (25 points) The J. Mehta Company's production manager is planning a series of one-month production periods for stainless steel sinks. The forecasted demand for the next four months is as follows: Month 2 Demand for Stainless Steel Sinks 90 100 250 150 The Mehta firm can normally produce 75 stainless steel sinks in a month. This is done during regular production hours at a cost of $100 per sink. If demand in any one month cannot be satisfied by regular production, the production manager has three other choices: (1) he can produce up to 40 more sinks per month in overtime but at a cost of $150 per sink; (2) he can purchase a limited number of sinks from a friendly competitor for resale (the maximum number of outside purchases over the four-month period COMBINED is 200 sinks (NOT 200 units each month), at a cost of $200 each; (3) Or, he can fill the demand from his on-hand inventory. The ending inventory cost is $20 per sink per month A constant workforce level is expected. Back orders are NOT permitted (e.g. order taken in period 3 to satisfy demand in later period 2 is not permitted). Inventory on hand at the beginning of month 1 is 40 sinks. Winter 2020 Page 1 ADM2302 M, N, P and Q Assignment #3 a. Formulate algebraically the above problem as a TRANSPORTATION Linear Programming model. Define the decision variables, objective function, and constraints. (16 points) Hint: Draw the transportation network model that corresponds to the problem, to figure out how to formulate. b. Formulate this same problem on a spreadsheet and SOLVE using Excel Solver (Provide the corresponding "Excel Spreadsheet" and the "Answer Report"). Include "managerial statements that communicate the results of the analyses. (9 points) please help and show all steps Problem 1: Transportation problem (25 points) The J. Mehta Company's production manager is planning a series of one-month production periods for stainless steel sinks. The forecasted demand for the next four months is as follows: Month 2 Demand for Stainless Steel Sinks 90 100 250 150 The Mehta firm can normally produce 75 stainless steel sinks in a month. This is done during regular production hours at a cost of $100 per sink. If demand in any one month cannot be satisfied by regular production, the production manager has three other choices: (1) he can produce up to 40 more sinks per month in overtime but at a cost of $150 per sink; (2) he can purchase a limited number of sinks from a friendly competitor for resale (the maximum number of outside purchases over the four-month period COMBINED is 200 sinks (NOT 200 units each month), at a cost of $200 each; (3) Or, he can fill the demand from his on-hand inventory. The ending inventory cost is $20 per sink per month A constant workforce level is expected. Back orders are NOT permitted (e.g. order taken in period 3 to satisfy demand in later period 2 is not permitted). Inventory on hand at the beginning of month 1 is 40 sinks. Winter 2020 Page 1 ADM2302 M, N, P and Q Assignment #3 a. Formulate algebraically the above problem as a TRANSPORTATION Linear Programming model. Define the decision variables, objective function, and constraints. (16 points) Hint: Draw the transportation network model that corresponds to the problem, to figure out how to formulate. b. Formulate this same problem on a spreadsheet and SOLVE using Excel Solver (Provide the corresponding "Excel Spreadsheet" and the "Answer Report"). Include "managerial statements that communicate the results of the analyses. (9 points) please help and show all steps
