Answer:
Explanation:
C(x) = x² - 19x + 40 (cost equation)
9850 = x² - 19x + 40 (substitute 9850 for C(x))
Rearranging the equation, we get:
x² - 19x + 9810 = 0
We can use the quadratic formula to solve for x:
x = (-b ± sqrt(b² - 4ac)) / 2a
where a = 1, b = -19, and c = 9810
x = (-(-19) ± sqrt((-19)² - 4(1)(9810))) / 2(1)
x = (19 ± sqrt(19² - 4(1)(9810))) / 2
x = (19 ± sqrt(361 - 39240)) / 2
x = (19 ± sqrt(-38879)) / 2
Since the value under the square root is negative, there are no real solutions for x. This means that it's not possible to manufacture a number of units at a cost of $9850 using this cost equation.