A company's profit C (in thousands of dollars) can be modeled by the polynomial function C = - 5x ^ 3 + 6x ^ 2 + 15x , where x is the number of items produced in thousands. The profit is $14,000 for producing 2000 items. What other number of items would produce about the same profit?

849 items.

Step-by-step explanation:

Given that the profit C (in thousands of dollars) for x thousands of items related as

As the profit is $14,000 for producing 2000 items, so

C= 14 thousand dollars and

x= 2 thousand items.

Putting C= 14 in the equation ( we have),

Now, x=2 is one of the solutions to the equation (ii), so (x-2) is a factor of the equation (ii), we have

We have the given solution for x-2=0, so sloving -5x^2-4x+7=0 for other solutions.

As the number of items cant be negative, so x= 0.849 thousand is the other number of items.

Hence, the other number of items for the same profit is 849 items.

1; 35 is the ratio

step-by-step explanation: