Solve.
-If the cost, C(x), for manufacturing x units of a certain product is given byoduct is given by $C ( x ) = x ^ { 2 } - 50 x + 12,600$ , find the, find th number of units manufactured at a cost of $14,000.
A)70 units
B)140 units
C)20 units
D)90 units

Question

Quizplus · Accepted Answer

To find the number of units manufactured at a cost of $14,000, set $C(x) = 14,000$ and solve the equation $x^2 - 50x + 12,600 = 14,000$. Simplifying gives $x^2 - 50x - 1,400 = 0$. Solving this quadratic equation using the quadratic formula or factoring gives $x = 70$ or $x = -20$. Since the number of units cannot be negative, the solution is 70 units.

Solve -If the Cost, C(x), for Manufacturing X Units of a Certain

Solve
-If the Cost, C(x), for Manufacturing X Units of a Certain