Question: Single error, I will Downvote. A company, engaged in producing tinned food, has 300 trained employees on the rolls, each of whom can produce one

Single error, I will Downvote.

A company, engaged in producing tinned food, has 300 trained employees on the rolls, each of whom can produce one can of food in a week. Due to developing taste of the public for this kind of food, the company plans to add to the existing labour force by employing 150 persons in a phased manner, over the next 5 weeks. The newcomers would have to undergo a two-week training programme before being put to work. The training is to be given by employees from among the existing ones and it is known that one employee can train three trainees. Assume that there would be no production from the trainers and the trainees during training period as the training is off-the- job. However, the trainees would be remunerated at the rate of 300 per week, the same rate as for the trainers. The company has booked the following orders to supply during the next 5 weeks. Week 1 2 3 5 No. of cans 280 298 305 360 400 Assume that the production in any week would not be more than the number of cans booked in the order so that every delivery of the food will be "fresh'. Formulate this problem as an L.P. model to develop a training schedule that minimizes the labour cost over the five-week period. 4

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