calculate the cost per barrel if 4000 barrels were extracted from the ground
C=9x2-144x+480000
this is a quadratic relation the 2 is a exoponet
To calculate the cost per barrel, we need to evaluate the quadratic equation C = 9x^2 - 144x + 480,000, where x is the number of barrels extracted.
First, we substitute 4000 into the equation for x:
C = 9(4000)^2 - 144(4000) + 480,000
Next, we simplify the equation:
C = 9 * 16,000,000 - 576,000 + 480,000
C = 144,000,000 - 576,000 + 480,000
C = 143,904,000
Finally, to calculate the cost per barrel, we divide the total cost (C) by the number of barrels (4000):
Cost per barrel = Total cost / Number of barrels
Cost per barrel = 143,904,000 / 4000
By performing the division, we get:
Cost per barrel = 35,976
Therefore, the cost per barrel is $35,976.