If the cost, C(x), for manufacturing x units of a certain product is given by C(x) = x2 – 15x + 34
find the number of units manufactured at a cost of $8350.

99 units.

Step-by-step explanation:

The cost function for manufacturing x units of a certain product is:

We want to find the number of units manufactured at a cost of $8350. Therefore:

Subtract 8350 from both sides:

This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:

In this case, a = 1, b = -15, and c = -8316. Thus:

Simplify:

Evaluate:

Therefore, our solutions are:

We cannot produce negative items, so we can ignore the second answer.

Therefore, for a cost of $8350, 99 items are being produced.

b is the answer that makes most sense

step-by-step explanation:

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: