Demand the demand function for the product is given by
p = 5000(1 - 4/4 + e^-0.002x)
where p is the price per unit (in dollars) and x is the number of units sold. find the numbers of units sold for prices of(a) p = $200 and (b) p = $800.
p = 5000(1 - 4/4 + e^-0.002x)

(a) 1610 units

(b) 915 units

Step-by-step explanation:

p = 5000(1 - 4/4 + e^-0.002x)

(a) p = $200

200 = 5000(1 - 1 + e^-0.002x)

200/5000 = e^-0.002x

e^-0.002x = 0.04

-0.002x = In 0.04 = -3.22

x = -3.22/-0.002 = 1610 units

(b) p = $800

800 = 5000(1 - 4/4 + e^-0.002x)

800/5000 = e^-0.002x

e^-0.002x = 0.16

-0.002x = In 0.16 = -1.83

x = -1.83/-0.002 = 915 units

,xzgv

step-by-step explanation:

; oqirjg'

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)