SOLUTION: A large department store is prepared to buy 3,800 of your tie-dye shower curtains per month for $6 each, but only 3,600 shower curtains per month for $11 each. What is the linear d

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Question 1045993: A large department store is prepared to buy 3,800 of your tie-dye shower curtains per month for $6 each, but only 3,600 shower curtains per month for $11 each. What is the linear demand function for your tie-dye shower curtains?
q(p) =

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
$6 each ===> 3,800 curtains per month
$11 each ===> 3,600 curtains per month.

===> slope of the demand line is %283800+-+3600%29%2F%286-11%29+=+200%2F%28-5%29+=+-40.
===> demand function is q = -40p + c for some constant c.
Let 3,800 = -40*6 + c.
===> c = 4,040.
Therefore the linear demand function is q = -40p + 4,040.