document.write( "Question 89830: Jemma Montini buys flowers and sells fancy centerpieces for tables.Her fixed costs
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document.write( "are $125 a month. She pays $9 per centerpiece for the flowers, decorations, and basket. She charges
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document.write( "$17 for each centerpiece.
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document.write( "Let x represent the number of centerpieces.
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document.write( "1. Write the cost function for Jemma's business.
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document.write( "2. Write the revenue function.
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document.write( "3. Write the profit function.
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document.write( "4. Find Jemma's profit or loss if she sells 10 centerpieces.
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document.write( "5. Find Jemma's profit or loss if she sells 20 centerpieces.
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document.write( "12. Graph the cost function function on the axes at the right.
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document.write( "13. What appears to be the break-even point?
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document.write( "14. solve two equations simultaneously to find the break-even point.
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document.write( "Please help me here and I greatly appreciate it if you help me. Once again
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document.write( "please and thank you sooo much. \n" );
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Algebra.Com's Answer #65386 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Jemma Montini buys flowers and sells fancy centerpieces for tables.Her fixed costs are $125 a month. She pays $9 per centerpiece for the flowers, decorations, and basket. She charges $17 for each centerpiece. \n" ); document.write( ": \n" ); document.write( "Let x represent the number of centerpieces. \n" ); document.write( "* \n" ); document.write( "1. Write the cost function for Jemma's business. \n" ); document.write( "C(x) = 9x + 125 (per month) \n" ); document.write( "* \n" ); document.write( "2. Write the revenue function. \n" ); document.write( "R(x) = 17x \n" ); document.write( "* \n" ); document.write( "3. Write the profit function. \n" ); document.write( "P(x) = 17x - (9x+125) \n" ); document.write( "* \n" ); document.write( "4. Find Jemma's profit or loss if she sells 10 centerpieces. \n" ); document.write( "P(x) = 17x - (9x+125) \n" ); document.write( "P(x) = 17(10) - (9(10) + 125) \n" ); document.write( "P(x) = 170 - 90 - 125 \n" ); document.write( "P(x) = -45; (a loss) \n" ); document.write( "* \n" ); document.write( "5. Find Jemma's profit or loss if she sells 20 centerpieces. \n" ); document.write( "P(x) = 17x - (9x+125) \n" ); document.write( "P(x) = 17(20) - (9(20) + 125) \n" ); document.write( "P(x) = 340 - 180 - 125 \n" ); document.write( "p(x) = +35; (a profit) \n" ); document.write( "* \n" ); document.write( "12. Graph the cost function and the revenue function on the axes at the right. \n" ); document.write( " \n" ); document.write( "* \n" ); document.write( "13. What appears to be the break-even point? \n" ); document.write( "Using the graph it looks like x = 16 units, is the break-even point \n" ); document.write( "* \n" ); document.write( "14. solve two equations simultaneously to find the break-even point. \n" ); document.write( "This happens when cost = revenue \n" ); document.write( "17x = 9x + 125 \n" ); document.write( "17x - 9x = 125 \n" ); document.write( "8x = 125 \n" ); document.write( "x = 125/8 \n" ); document.write( "x = 15.625, it occurs between 15 and 16 units \n" ); document.write( " \n" ); document.write( " |