Alana consulted a local master beekeeper, Dr. Beekeeper,concerning the death of some of her beehives. He suggested adding aspecific type of plant food, “Bee Empower” to the clover fieldswhere the bees forage for nectar. The amount of Bee Empower (in kg)that should be added per acre of clover field is representedby:
f(x)= -9x2 + 126x -45
x=kg of Bee Empower/acre
A. Find the critical value of Bee Empower for this function
B. In words, describe what this value means
C. Is this value the minimum or maximum amount of plant foodneeded per acre? Mathematically prove your answer.