*P(t) = 3t4 - 118t3 - 93+2+ 45540t + 560990 where t is the total number of hours of employee training IN THOUSANDS of hours, and P(t) is the total profit IN THOUSANDS of dollars. a) Identify and state the formula of the derivative function. Make sure this is in a text box region and that you use the equation editor to make the equation look like a mathematical equation (not like you would enter it in Excel!!). b) Create an input-output table in Excel, where *column A has the t values spanning from t = 15 to t = 25 in increments of 0.5 *column B has the P(C) function values. *column C has the P' (c) function values. NOTE! After creating the table, you should see that there are exactly two places where the P' (t) = 0. If not, then you made an error! c) Write complete sentences in a textbox near the row) that explains the real-world, contextual meaning of both P(20) and P' (20). Remember to include correct units! d) In a textbox, state the interval(s) where P' (t) is negative AND decreasing. (BOTH are true). Explain the behavior of the P(t) function on that interval (Note: you could have Excel make a graph of PCC) to check your conclusions!!) OVER e) In a textbox, state the interval(s) where P't) is negative AND increasing. (BOTH are true). Explain the behavior the P(t) function on that interval. (Note: you could have Excel make a graph of P(C) to check your conclusions!!) 1) Copy and finish this sentence. (Fill in the blank) The profit is lowest when spending at that time. hours on employee training, and the profit is g) Copy and finish this sentence. (Fill in the blank) The profit is decreasing at the fastest rate when spending about training, and the profit is at that time. hours on employee