document.write( "Question 1186687: The demand curve for a swivel chair is given by p=4000^(3-q) dollars per swivel chair, where p is the price and q is the quantity, in thousands of swivel chairs, demanded at that price. What quantity will be demanded if the price per swivel chair is $256.60? \n" ); document.write( "
Algebra.Com's Answer #849376 by CPhill(1987)\"\" \"About 
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Here's how to solve this problem:\r
\n" ); document.write( "\n" ); document.write( "1. **Write down the given information:**
\n" ); document.write( " * Demand curve: p = 4000^(3-q)
\n" ); document.write( " * Price (p) = $256.60\r
\n" ); document.write( "\n" ); document.write( "2. **Substitute the price into the demand equation:**
\n" ); document.write( " 256.60 = 4000^(3-q)\r
\n" ); document.write( "\n" ); document.write( "3. **Solve for q:**
\n" ); document.write( " This equation is easiest to solve using logarithms. Let's take the logarithm (base 10 is easiest) of both sides:\r
\n" ); document.write( "\n" ); document.write( " log(256.60) = log(4000^(3-q))
\n" ); document.write( " log(256.60) = (3-q) * log(4000)\r
\n" ); document.write( "\n" ); document.write( " Now, isolate (3-q):
\n" ); document.write( " (3-q) = log(256.60) / log(4000)
\n" ); document.write( " (3-q) ≈ 2.4093 / 3.6021
\n" ); document.write( " (3-q) ≈ 0.6688\r
\n" ); document.write( "\n" ); document.write( " Solve for q:
\n" ); document.write( " q = 3 - 0.6688
\n" ); document.write( " q ≈ 2.3312\r
\n" ); document.write( "\n" ); document.write( "4. **Interpret the result:**
\n" ); document.write( " q represents the quantity in *thousands* of swivel chairs. Therefore, the quantity demanded is approximately 2,331 swivel chairs.
\n" ); document.write( " \n" ); document.write( "
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