document.write( "Question 819463: [ The profit that a company makes depends on the price, p, that they sell their items. The company's profit is determined by f(p) = -2p^2 +24p -54 thousand dollars. At what price (to the nearest cent) should the company price their items to earn a profit of $15,000? ] \n" ); document.write( "

Algebra.Com's Answer #493110 by TimothyLamb(4379) $\"\"$ $\"About$

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f(p) = -2p^2 + 24p - 54
\n" ); document.write( "15 = -2p^2 + 24p - 54
\n" ); document.write( "-2p^2 + 24p - 69 = 0
\n" ); document.write( "---
\n" ); document.write( "the above quadratic equation is in standard form, with a=-2, b=24, and c=-69
\n" ); document.write( "---
\n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, plug this:
\n" ); document.write( "-2 24 -69
\n" ); document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "the two real roots (i.e. the two x-intercepts), of the quadratic are:
\n" ); document.write( "p = 4.77525513
\n" ); document.write( "p = 7.22474487
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "the company may price its items at either of these prices:
\n" ); document.write( "$4.78
\n" ); document.write( "$7.25
\n" ); document.write( "---
\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
\n" ); document.write( "---
\n" ); document.write( "Calculate and graph the linear regression of any data set:
\n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( "

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