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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)

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princessesther2011

Answer:

(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

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