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Answer:
The company will break even at x=1 and x=4.
Step-by-step explanation:
The given profit function is
Where, x is number of commercials.
Use synthetic division or long division to find the factors of the function.
Equate P(x)=0, to find the break even points.
Use zero product property and equate each factor equal to zero.
Therefore the zeros of the function P(x) are 4, 1, -2 and -5. Since x is number of commercials, therefore the value of x must be positive. Therefore the company will break even at x=1 and x=4.
The higher degree of the function is even and the leading coefficient is negative. So,
Since the value of x must be positive, therefore the left end point is y-intercept of the graph, i.e., (0,-40).
Therefore the company faces huge loss when the number of commercials increases unboundly.
The graph of the function is given below.
