Toys Surplus wants to determine the chronological programming to get the minimal cost of a seasonal toy. Demand is 2,000 units in May, 4,000 in June, 6,000 in July, 6,000 in August and 3,000 in September. The units produced are available for sale in the same month that are produced. Units cannot be stored for more than two months, that is, if they were produced in May, they must be supplied no later than the end of July. The company incurs an initial material handling cost of $ 1.50 / unit every time a unit is stored. Also, the cost of keeping stored one unit is $ 2 per unit per month. Production workers are hired in early April and remain in the company until the season ends at the end of September. By Each contracted worker, the company invests $300 in training. Every worker produces 200 units per month during his normal shift and, if necessary, you can produce up to 50 additional units per month in overtime. The base salary of the workers is $ 1,200 per month and the units produced in overtime they are paid at a rate of 1.5 times the cost of those produced in normal time:

1. Using linear programming, find the production programming that minimizes total costs.
2. Due to improvements in the warehouse system, handling costs have been reduced of materials and storage at $ 0.75 per unit and $ 1 per unit and per month respectively. How do these changes affect programming of production?
3. Toys Surplus decides to hire fully trained employees. In this case, the company saves $ 200 for training, but workers they earn $ 1,800 per month. For being highly trained, the production in normal time of these workers is 250 units per month and, if if necessary, they can produce up to 50 units a month in overtime that they are paid at the rate of 1.5 times the cost of those produced in normal time. All other data is from the original problem. Does it suit the company do this hiring?
4. Solve the previous question with material handling and storage costs from question 2.

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