Mary owns a store that sells computers. Her profit in dollars is represented by the function P(x) = x^3 - 22x^2 - 240x, where x is the number of computers sold. Mary hopes to make a profit of at least $10,000 by the time she sells 36 computers. Explain whether Mary will meet her goal. Justify your reasoning.
Calculate P(10):
P(10) = 10^3 - 22(10)^2 - 240(10)
P(10) = 1000 - 2200 - 2400
P(10) = -3600
Mary will not meet her goal of making a profit of at least $10,000 when she sells 36 computers because her profit is in the negative.
Calculate P(10):
P(10) = 10^3 - 22(10)^2 - 240(10)
P(10) = 1000 - 2200 - 2400
P(10) = -3600
Mary will not meet her goal of making a profit of at least $10,000 when she sells 36 computers because her profit is in the negative.