Provided by the forecasting team indicates demand forecast

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HMK is a handbag making company. They have a forecasting team which provides them thedemand forecast for their product. The report provided by the forecasting team indicates the demand forecast for the next 6 months. The summary is provided in the table below:

Month   Demand (units)

March 5000

April   6000

May   5000

June 9000

July   6000

Aug   5000

It takes a handbag maker 15 minutes to produce a handbag. Each handbag maker works 150hours per month plus up to 40 hours per month of overtime. The monthly regular salary for a handbag maker is $2000. But they get paid an extra $50 for each hour they work overtime .At the beginning of each month, HMK can either hire or fire workers. It costs the company$1800 to hire a worker and $2200 to fire a worker. The monthly holding cost per handbag is 3%of the cost of producing it with regular-time labour. The raw materials in each handbag cost $10.

Formulate an LP that minimizes the cost of meeting (on time) the demands of the next six months.  At the beginning of month 1, HMK has 13 workers.

Reference no: EM13741984

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