A publishing company prints and sells cookbooks to stores for $4.50 each. Their weekly profits can be modeled by the quadratic function P(x) = -0.1x2 + 15x + 120, where P(x) is profit and x is the number of $0.05 price increases. Use the graph to answer the question.
Graph of function p of x equals negative 0.1 x squared plus 15 x plus 120. The graph has the x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 120), increases to (75, 682.5), and decreases through (157.614, 0).
Which statement about profit and number of price increases is not correct?
The profit at 100 price increases is equal to the profit at 50 price increases.
The profit at 0 price increases is equal to the profit at 150 price increases.
The maximum profit occurs at 75 price increases.
The maximum profit occurs at 158 price increases.