document.write( "Question 189942: After leaving a fulfilling career as a singer, Sally decides to venture out into the world of necklace sales. The cost of producing x necklaces is given by the function C(x) = 1.3x + 275. The necklaces can be sold on E-bay for $10 each.\r
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document.write( "(a) What are the fixed costs?\r
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document.write( "(b) Find the revenue and profit functions.\r
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document.write( "(c) Find the break-even point.\r
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document.write( "(d) If Phil manages to sell 500 DVD’s per month, what will his yearly profit be?
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Algebra.Com's Answer #142523 by cutepiscean5(19)![]() ![]() ![]() You can put this solution on YOUR website! After leaving a fulfilling career as a singer, Sally decides to venture out into the world of necklace sales. The cost of producing x necklaces is given by the function C(x) = 1.3x + 275. The necklaces can be sold on E-bay for $10 each.\r \n" ); document.write( "\n" ); document.write( "(a) What are the fixed costs?\r \n" ); document.write( "\n" ); document.write( ">>> The fixed costs will be determined from the function C(x) = 1.3x + 275. we know that by looking at the cost function the fixed cost is 275.\r \n" ); document.write( "\n" ); document.write( "(b) Find the revenue and profit functions.\r \n" ); document.write( "\n" ); document.write( ">> --- the revenue function will be determined by the selling price of x necklaces. \n" ); document.write( "so if 1 necklace is sold for $10, x necklaces will be sold for $ 10x.\r \n" ); document.write( "\n" ); document.write( "-- For the profit function, we know that Profit = Selling price - Cost price \n" ); document.write( " = 10x - (1.3x + 275) \n" ); document.write( " = $ (8.7x - 275)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(c) Find the break-even point.\r \n" ); document.write( "\n" ); document.write( "The break-even point is the point where there is no profit, no loss. that means the selling price is same as the cost price.\r \n" ); document.write( "\n" ); document.write( "so, for break-even, 10x = 1.3x + 275 \n" ); document.write( "=> 10x - 1.3x = 275 \n" ); document.write( "=> 8.7x = 275 \n" ); document.write( "or, x = 31.60 which approx s to 32 necklaces, the break even is 32 necklaces\r \n" ); document.write( "\n" ); document.write( "(d) If Phil manages to sell 500 DVD’s per month, what will his yearly profit be?\r \n" ); document.write( "\n" ); document.write( ">>> I could not get how is this question related to the previous one??\r \n" ); document.write( "\n" ); document.write( "Please have a look at the rest of the questions.. \n" ); document.write( " |