Use the cost equation $C = 2100 + 0.08 x + 0.004 x ^ { 2 }$ to find the number of units x that a manufacturer can produce when $C = 2600$ . Round answer to the nearest whole unit.
A)365 units
B)357 units
C)344 units
D)336 units
E)330 units

Question

Quizplus · Accepted Answer

To find the number of units $x$, substitute $C = 2600$ into the equation: $2600 = 2100 + 0.08x + 0.004x^2$. Simplify to get $500 = 0.08x + 0.004x^2$. Solving this quadratic equation gives $x \approx 344$.

Use the Cost Equation C=2100+0.08x+0.004x2C = 2100 + 0.08 x + 0.004 x ^ { 2 }C=2100+0.08x+0.004x2

Use the Cost Equation $C = 2100 + 0.08 x + 0.004 x ^ { 2 }$