document.write( "Question 1132979: Assume that the linear cost and revenue models apply. An item costs $4 to make. If fixed costs are $2700 and profits are $13300 when 1000 items are made and sold, find the revenue equation. (Let x be the number of items.) \n" ); document.write( "
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Assume that the linear cost and revenue models apply.
\n" ); document.write( " An item costs $4 to make.
\n" ); document.write( " If fixed costs are $2700 and profits are $13300 when 1000 items are made and sold, find the revenue equation. (Let x be the number of items.)
\n" ); document.write( ":
\n" ); document.write( "Cost equation
\n" ); document.write( "C(x) = 4x + 2700
\n" ); document.write( ":
\n" ); document.write( "Rev - cost = 13300 (profit)
\n" ); document.write( "let p = the selling price
\n" ); document.write( "x = 1000
\n" ); document.write( "1000p - (4(1000) + 2700) = 13300
\n" ); document.write( "1000p - 4000 - 2700 = 13300
\n" ); document.write( "1000p - 6700 = 13300
\n" ); document.write( "1000p = 13300 + 6700
\n" ); document.write( "1000p = 20000
\n" ); document.write( "p = 20000/1000
\n" ); document.write( "p = $20 is the selling price
\n" ); document.write( "therefore the revenue equation
\n" ); document.write( "R(x) = 20x
\n" ); document.write( ":\r
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