Q4) ABC company produces boxes of chocolate. Over the past 50 working days, there was 100...

 

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Q4) ABC company produces boxes of chocolate. Over the past 50 working days, there was 100 workers hired by the company and they produced 15000 boxes of chocolate. The cost of hiring each worker is 1250TL and cost of firing each worker is 3000TL. Holding costs are given as 7.5 TL per box per month. At the end of October 31st, ABC had 5000 boxes in their inventories. The company wants to plan for upcoming 8 months, until July. At the end of June, ABC plans to have 4000 boxes as ending inventory. Monthly available production days and forecasted demands are given in the table below. Month November December January February March April May June Production Days 21 22 24 18 23 20 17 21 Forecasted Demand in boxes 7500 9500 8000 9600 7800 12000 11000 10800 a) Formulate the problem as a linear program (LP). b) Solve your LP. Round the variables if necessary and determine the cost of your solution. Q4) ABC company produces boxes of chocolate. Over the past 50 working days, there was 100 workers hired by the company and they produced 15000 boxes of chocolate. The cost of hiring each worker is 1250TL and cost of firing each worker is 3000TL. Holding costs are given as 7.5 TL per box per month. At the end of October 31st, ABC had 5000 boxes in their inventories. The company wants to plan for upcoming 8 months, until July. At the end of June, ABC plans to have 4000 boxes as ending inventory. Monthly available production days and forecasted demands are given in the table below. Month November December January February March April May June Production Days 21 22 24 18 23 20 17 21 Forecasted Demand in boxes 7500 9500 8000 9600 7800 12000 11000 10800 a) Formulate the problem as a linear program (LP). b) Solve your LP. Round the variables if necessary and determine the cost of your solution.

Answer rating: 100% (QA)

a Formulate the problem as a linear program LP The problem can be formulated as an LP as follows Objective Function Minimize Z 1250x 3000y 75z Subject ... View the full answer