document.write( "Question 1188051: 2.Supplier of bicycles will make 200 bicycles available in the market per month when the unit price is $50, and 2,000 bicycles available per month when the unit price is $100.
\n" ); document.write( "A) Find the (inverse) supply equation if it is known to be linear.
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\n" ); document.write( "C) What happens to the quantity supplied of bicycles at the price of $40 ? \n" ); document.write( "

Algebra.Com's Answer #819121 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "Supplier of bicycles will make 200 bicycles available in the market per month when the unit price is $50,
\n" ); document.write( "and 2,000 bicycles available per month when the unit price is $100.
\n" ); document.write( "A) Find the (inverse) supply equation if it is known to be linear.
\n" ); document.write( "B) Find the price at which the supplier will stop supplying bicycle.
\n" ); document.write( "C) What happens to the quantity supplied of bicycles at the price of $40 ?
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document.write( "They want you create a linear function of the form\r\n" );
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document.write( "    y = mx + b,\r\n" );
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document.write( "expressing the number of produced bicycles y as the function of unit price x.\r\n" );
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document.write( "        Start determine the slope coefficient m.\r\n" );
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document.write( "It is the ratio of increment of y (the number of bicycles) to the increment of unit price\r\n" );
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document.write( "    m =  =  = 36\r\n" );
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document.write( "So, the function is \r\n" );
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document.write( "    y - 200 = 36*(x-50).      (1)\r\n" );
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document.write( "Thus question (A) is just answered.\r\n" );
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document.write( "(B)  In the formula (1), we should place y = 0 and find the corresponding value of x.\r\n" );
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document.write( "     You have then\r\n" );
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document.write( "         0 - 200 = 36*(x-50)\r\n" );
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document.write( "         36x - 36*50 = - 200\r\n" );
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document.write( "         36x = -200 + 36*50 = 1600\r\n" );
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document.write( "         x =  = 44.44  dollars.    ANSWER\r\n" );
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document.write( "      At the price of $44.44, the producer will stop making bicycles.\r\n" );
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document.write( "(C)  To answer this question, simply substitute x= 40 into the formula.  You will get negative value for y.\r\n" );
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document.write( "     It means that at the price of $40 per bicycle, the producer will not produce bicycles.\r\n" );
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document.write( "     This answer is consistent with part (B).\r\n" );
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