Question

PLEASE HELP

Answer 1

P(x) = –x4 + x3 + 7x2 − x − 6

The graph will look like a bell, or a downward facing parabola, since the dominant term is -x^4

The graph has a y-intercept of -6, which can be considered the fixed cost (cost of zero trees cut) and moves upward from there, eventually reaching a maximum at some positive number of trees and dropping again. As x gets very large, profit becomes a very large negative number. Since we can't have negative trees cut, we're only interested in positive x values

The company breaks even at P(x) = 0
0 =  –x4 + x3 + 7x2 − x − 6, x greater than zero
0 = (x+2)(x+1)(x-1)(x-3)
The company breaks even at 1 tree and 3 trees.