SOLUTION: QUESTION: Apple sells 1200 of their iPods at price of 200. They know that for every $5.00 decrease in price , 75 more iPods will sell but they will not drop the price below 115.0

Algebra ->  Linear-equations -> SOLUTION: QUESTION: Apple sells 1200 of their iPods at price of 200. They know that for every $5.00 decrease in price , 75 more iPods will sell but they will not drop the price below 115.0      Log On


   

Question 989542: QUESTION: Apple sells 1200 of their iPods at price of 200. They know that for every $5.00 decrease in price , 75 more iPods will sell but they will not drop the price below 115.00. write the number of iPods n as a function of the price p.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+n+=+1200+%2B+%28%28+200+-+p+%29%2F+5+%29%2A75+
+n+=+1200+%2B+15%2A%28+200+-+p+%29+
+n+=+1200+%2B+3000+-+15p+
+n+=+4200+-+15p+ answer
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+p+=+115+ is the lowest price that can be charged
+n+=+1200+%2B+%28%28+200+-+115+%29+%2F+5+%29%2A75+
+n+=+1200+%2B+%28+85%2F5+%29%2A75+
+n+=+1200+%2B+85%2A15+
+n+=+1200+%2B+1275+
+n+=+2475+ is the most ipods that can be sold
by dropping the price
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Here's the plot of +n+=+f%28p%29+
+graph%28+400%2C+400%2C+-40%2C+350%2C+-450%2C+4500%2C+-15x+%2B+4200%2C+2475+%29+
Note that the horizontal line is at ( p,n ) = ( 115, 2475 )
showing the lowest possible price and most ipods that can be sold