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(25 points) For products that incorporate new technology, sales will typically increase for a time after the product is introduced. However, after a certain amount of time, newer (and hopefully improved) replacement products will be released and sales of the original "new product" will decline as consumers switch over to the replacement. A recent example is the introduction of curved screen televisions to replace flat screen televisions. Suppose for a particular company one of their product lines are flat screen televisions and that they are currently selling 2,000 units per month. However, once sales fall to 300 units per month they will remove the flat screen televisions from their product line in order to provide more warehouse space for newer and better selling items. Suppose that sales of the flat screen televisions are decreasing at a rate of S'(t) - -5te0.at televisions per month. (a) (15 points) Using the information above, determine S(t)