A large department store is prepared to buy 3,800 of your tie-dye shower curtains per month for $5 each, but only 3,600 shower curtains per month for $10 each. What is the linear demand function for your tie-dye shower curtains

q = - 40p+c

q = - 40p+4,000

Step-by-step explanation:

$5 each for 3800 tye-dye shower curtains

$10 each for 3600 tye-dye shower curtains

Slope of the demand line is

3800-3600/5-10

=200/-5

= - 40

Demand function is

q = - 40p + c

Where c is a constant

For q=3800 and p=$5

Demand function is

q = - 40p + c

3800 = - 40 (5) + c

3800 = - 200+c

c=3800+200

c=4,000

Linear demand function is

q = - 40p+4,000