the Ruby Snow Company makes custom snowboards. the company's profit can be modelled with the relation y=6x^2+42x-60,where x is the number snowboards sold(in thousands) and y is the profit (in hundreds of thousands of dollars)

Question

How many snowboards does the company need to sell to maximize their profit?

The answer is 3500. But I keep getting 1350000

Answer 1

There is clearly a typo in the above, since the function is a parabola which opens upward, and so has no maximum.

If we go with

y = -6x^2+42x-60
then that works out to

y = -6(x^2-7x+10)
= -6(x-5)(x-2)
The vertex is at x = 3.5, so that means 3500 boards.

You know, if you keep getting wrong answers, it would help to show your work, so it can be corrected.