The profit f(x) can be obtained by multiplying the price of each accessory by the amount made, subtracted by the cost to make each accessory by the amount made. This is shown below:
Where: x = amount of accessories produced in millions
f(x) = (100 - 10x^2)x - 10x
Using a trial and error method (by calculators through the Table mode), by inputting values between x = 1 and x = 2, it was seen that the value x = 1.45 yielded the same profit. Therefore, at 1.45 million accessories, a profit of 100 million dollars is achieved.
