Question

Find the consumers' surplus at a price level of $7 for the price-demand equation p=D(x)=35−0.2x where p is the price and x is the demand. Do not include a dollar sign or any commas in your answer.

Answer #1

we are given

p=7

Firstly, we will find equilibrium points

now, we can set up integral for consumer surplus

now, we can solve each integral

and then combine them

**............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.)

1.) Calculate the consumers' surplus at the indicated unit price
p for the demand equation. HINT [See Example 1.] (Round your answer
to the nearest cent.)
p = 12 − 2q1/3; p = 8
2.) calculate the consumers' surplus at the indicated unit price
p for the demand equation. HINT [See Example 1.] (Round
your answer to the nearest cent.)
p =
700e−2q; p
= 80

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for the demand equation.(Round your answer to the nearest
cent.)
q = 50 − 3p; p = 9

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p = 0.1x2 + 4x + 20.
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p =
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$ 36.015 < ---- wrong answer
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