document.write( "Question 138262: Callaway Golf Company has determined that the daily cost C of manufactoring x Big-Bertha-type gold clubs may be expressed by the quadratic equation C(x)=5x^2-620x+20,000,\r
\n" ); document.write( "\n" ); document.write( "a)How many clubs should be manufactured to minimize the cost?
\n" ); document.write( "b)At this level of production, what is the cost per club?
\n" ); document.write( "c)What are the fixed cost of production (the cost to produce 0 clubs)?\r
\n" ); document.write( "\n" ); document.write( "Thank you so much tutors, you all are so much help! \n" ); document.write( "

Algebra.Com's Answer #100977 by solver91311(24713) $\"\"$ $\"About$

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Since this is a quadratic function, the graph is a parabola. Since the lead coefficient is positive, the graph opens upward. That means that the vertex of the parabola is the minimum value of the function.\r
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\n" ); document.write( "\n" ); document.write( "To find the x-coordinate of the vertex of a a parabola $\"f%28x%29=ax%5E2%2Bbx%2Bc\"$ , calculate $\"x%5Bm%5D=%28-b%29%2F2a\"$ . That will give you the number of clubs to manufacture to minimize the cost.\r
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\n" ); document.write( "\n" ); document.write( "The cost per club of that many clubs is then given by $\"C%28x%5Bm%5D%29\"$ . In other words, substitute the value calculated in part a into the function and do the arithmetic.\r
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\n" ); document.write( "\n" ); document.write( "The cost to produce 0, in other words, the fixed costs is given by $\"C%280%29\"$ . Substitute 0 for x in the function and the result will be the fixed cost. \n" ); document.write( "

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