Question

At a price of x dollars, the supply function for a music player is q = 80e⁰.⁰⁰⁵ˣ ​, where q is in thousands of units. How many music players will be supplied at a price of 250?

Answer 1

Approximately 131,898 music players will be supplied at a price of $250. Therefore, approximately 131,898 music players will be supplied at a price of $250.

Step-by-step explanation:

To find the number of music players supplied at a price of $250,

we need to substitute this price into the supply function.

The supply function is given as q = 80e0.005x, where q is in thousands of units.

So, we have q = 80e0.005(250). To calculate this, we can use the exponential function properties and find q = 80e0.5.

Evaluating this, we get q ≈ 80e0.5 ≈ 80 * 1.64872127 ≈ 131.8977016 thousand units.

Therefore, approximately 131,898 music players will be supplied at a price of $250.

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