Question: please formulate using a Linear Programming model Bob's Custom Trucks has demand over the next six months shown in the table below. Currently, Bob employees

please formulate using a Linear Programming model

Bob's Custom Trucks has demand over the next six months shown in the table below. Currently, Bob employees 264 full-time workers. Cost to hire a new worker is $400 and to fire a worker is $1000. Inventory holding cost is $300 per car per month. Over the last six months, it takes an average of 10 worker-days to make one car. Currently, there are 180 cars in stock. Bob wants to make sure that at least a 20-car buffer at the end of each month. Bob says he will not using outsourcing or overtime. What is an optimal production plan over next 6 months that minimizes the total cost for production and workforce change? Month December January February March April May Demand 496 536 756 1056 1040 920 Working day/month 20 22 20 21 22 20

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