Question

The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p = -0.01x^2 - 0.1 x + 48

Determine the consumers' surplus if the market price is set at $6/cartridge. (Round your answer to two decimal places.)

Answer #1

we are given

**Demand function:**

**Supply function:**

we can find equilibrium point

we can solve for x

**Consumer surplus:**

we can set up integral

**...........Answer**

Consumers' Surplus The demand function for a
certain make of replacement cartridges for a water purifier is
given by the following equation where p is the unit price in
dollars and x is the quantity demanded each week, measured in units
of a thousand.
p = −0.01x^2 − 0.2x + 30
Determine the consumers' surplus if the market price is set at
$6/cartridge. (Round your answer to two decimal places.)

The demand function for a certain make of replacement cartridges
for a water purifier is given by the following equation where
p is the unit price in dollars and x is the
quantity demanded each week, measured in units of a thousand.
p = −0.01x2 −
0.3x + 41
Determine the consumers' surplus if the market price is set at
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