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The function ​f(x) models the average cost per​ unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How many units must the company produce to have an average cost per unit of ​? Round to the nearest integer.

User Aariba
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1 Answer

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Complete question is;

The function ​f(x) = (25000 + 280x)/x models the average cost per unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How many units must the company produce to have an average cost per unit of $390?

Answer:

227 units

Explanation:

We are given the function;

​f(x) = (25000 + 280x)/x

Where;

f(x) is the average cost per unit

x is the number of units

Now, we want to find out how many units the company must produce to have an average cost per unit of $390.

Thus, plugging $390 for f(x), we have;

390 = (25000 + 280x)/x

When we cross multiply, we get;

390x = 25000 + 280x

390x - 280x = 25000

110x = 25000

x = 25000/110

x ≈ 227

User Twistar
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