A home store chain is prepared to buy 3,800 of your Frog & Friends (TM) shower curtains per month for $5 each, but only 3,500 shower curtains per month for $10 each. What is the linear demand function for your Frog & Friends shower curtains?

The linear demand function for Frog & Friends Shower curtains is q = - 60p + 4,100

Explanation: $5 each = ==> 3,800 curtains per month

$10 each = ==> 3,500 curtains per month.

===> slope of the demand line is (3800-3500) / (5-10) = 300/-5 = - 60

===> demand function is q = - 60p + c for some constant c.

Let 3,800 = - 60*5 + c.

=3800 = - 300 + c

===> c = 4,100.

Therefore the linear demand function for frog & friends curtains is q = - 60p + 4,100