A company needs to meet a large ongoing production order for a new client. In 2 months, the factory must be able to produce 2500 units per day to fulfill this order. Currently, the factory can output 1000 units per day. The factory has enough equipment to support this but not enough labor. You must figure out how many new employees you need to hire and train in order to meet this new capacity. CONDITIONS: The level of productivity increases with training, so that for the average employees the rate of change of production per ON -5.5e day is given as at where N is the number of units produced after t days of training. In the past, employees with similar training could make 15 units per day after 5 days of training. The training lasts 20 days (4 weeks at 5 hours per week). After they complete the training, the average employee has a steady production rate. There is about a 10% attrition rate, which means that 10% of those hired will quit before they complete their training. Use the information given above to answer the following. Be 1. Use the production rate and the information about past training experience to write an equation for the production per day, N(t). Graph N(t) using an appropriate scale and window. Label all parts of the graph. 2. How many fully trained employees will you need to meet the increased capacity? A company needs to meet a large ongoing production order for a new client. In 2 months, the factory must be able to produce 2500 units per day to fulfill this order. Currently, the factory can output 1000 units per day. The factory has enough equipment to support this but not enough labor. You must figure out how many new employees you need to hire and train in order to meet this new capacity. CONDITIONS: The level of productivity increases with training, so that for the average employees the rate of change of production per ON -5.5e day is given as at where N is the number of units produced after t days of training. In the past, employees with similar training could make 15 units per day after 5 days of training. The training lasts 20 days (4 weeks at 5 hours per week). After they complete the training, the average employee has a steady production rate. There is about a 10% attrition rate, which means that 10% of those hired will quit before they complete their training. Use the information given above to answer the following. Be 1. Use the production rate and the information about past training experience to write an equation for the production per day, N(t). Graph N(t) using an appropriate scale and window. Label all parts of the graph. 2. How many fully trained employees will you need to meet the increased capacity