document.write( "Question 1159727: The organized crime boss and perfume king Butch (Stinky) Rose has daily overheads (bribes to corrupt officials, motel photographers, wages for hit men, explosives, and so on) amounting to $30,000 per day. \r
\n" ); document.write( "\n" ); document.write( "On the other hand, he has a substantial income from his counterfeit perfume racket: He buys imitation French perfume (Chanel No. 22.5) at $10 per gram, pays an additional $40 per 100 grams for transportation, and sells it via his street thugs for $900 per gram. \r
\n" ); document.write( "\n" ); document.write( "Specify Stinky's profit function, P(x), where x is the quantity (in grams) of perfume he buys and sells.\r
\n" ); document.write( "\n" ); document.write( "I have no idea where to really start with this problem. I have tried to multiply the $10 and $900 by 100 so I can add in the $40 easily, but this process did not work. \r
\n" ); document.write( "\n" ); document.write( "I do know that the y intercept is -30,000 for this problem, but I need help finding the slope please!!\r
\n" ); document.write( "\n" ); document.write( "Thank you so much for any help you can provide it is greatly appreciated!
\n" ); document.write( "

Algebra.Com's Answer #782961 by MathTherapy(10555)\"\" \"About 
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The organized crime boss and perfume king Butch (Stinky) Rose has daily overheads [sic] (bribes to corrupt officials, motel photographers, wages for hit men, explosives, and so on) amounting to $30,000 per day. \r
\n" ); document.write( "\n" ); document.write( "On the other hand, he has a substantial income from his counterfeit perfume racket: He buys imitation French perfume (Chanel No. 22.5) at $10 per gram, pays an additional $40 per 100 grams for transportation, and sells it via his street thugs for $900 per gram. \r
\n" ); document.write( "\n" ); document.write( "Specify Stinky's profit function, P(x), where x is the quantity (in grams) of perfume he buys and sells.\r
\n" ); document.write( "\n" ); document.write( "I have no idea where to really start with this problem. I have tried to multiply the $10 and $900 by 100 so I can add in the $40 easily, but this process did not work. \r
\n" ); document.write( "\n" ); document.write( "I do know that the y intercept is -30,000 for this problem, but I need help finding the slope please!!\r
\n" ); document.write( "\n" ); document.write( "Thank you so much for any help you can provide it is greatly appreciated!
\n" ); document.write( "
\r
\n" ); document.write( "\n" ); document.write( "With each gram of perfume being x, we get:
\n" ); document.write( "Revenue: R(x) = 900x
\n" ); document.write( "Variable Cost:
\n" ); document.write( "Fixed cost (c, or constant): 30,000 \r
\n" ); document.write( "\n" ); document.write( "P(x) = R(x) - C(x) - c
\n" ); document.write( "P(x) = 900x - 10.4x - 30,000
\n" ); document.write( "Profit function, or \"highlight_green%28matrix%281%2C3%2C+P%28x%29%2C+%22=%22%2C+889.6x++-++%2230%2C000%22%29%29\"
\n" ); document.write( "Do you now see what the slope is, after the above profit equation is compared to the slope-intercept form, or y = mx + b?
\n" ); document.write( "The y-intercept is - 30,000 because even if he doesn't buy or sell any perfume, his cost is still $30,000 since he has certain overhead costs.
\n" ); document.write( "So, before he even buys any perfume, he's already in the RED, so-to-speak, to the tune of $30,000! \n" ); document.write( "
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