if the minimum cost is $608.50 how many barrels are extracted in order to meet the minimum cost.
C=9x2-144x+608.50
this is a quadratic relation that 2 is a exponet. please show your work
To find the number of barrels extracted in order to meet the minimum cost, we need to determine the x-value that corresponds to the vertex of the quadratic equation.
The general form of a quadratic equation is given by: C = ax^2 + bx + c, where a, b, and c are constants.
In this case, the equation is: C = 9x^2 - 144x + 608.50.
To find the vertex of the quadratic equation, we can use the formula: x = -b / (2a).
From the equation, we can see that a = 9 and b = -144.
Substituting the values into the formula, we have:
x = -(-144) / (2 * 9)
x = 144 / 18
x = 8
So, the x-coordinate of the vertex is 8. This means that the minimum cost occurs when 8 barrels are extracted.
Therefore, in order to meet the minimum cost, 8 barrels need to be extracted.