A company engaged in producing tinned food delicacies has 300 trained employees on its rolls each of whom can produce one can of food in a week. Due to the developing taste of the public for this kind offood, the company plans to add the existing labour force by employing 150 people in a phased manner, over the next five 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 amongst the existing ones and it is known that one employee can train three trainees. Assume that there would be no production coming forth 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 Rs 300 per week, the same rate as is for the trainers.

The company has booked the following number of cans to supply during the next five weeks.

Assume that the production in any week would not be more than the number of cans ordered for so that every delivery of the delicacy would be 'fresh'.
Using this information, draft a LPP to develop a training schedule that will minimise the labour costs over the five week period

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Week : 1 2 3 4 5 No. of cans 280 298 305 360 400