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The Demand Function for a Certain Make of Replacement Cartridges

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The demand function for a certain make of replacement cartridges for a water purifier is given by
The demand function for a certain make of replacement cartridges for a water purifier is given by ​   ​ where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the market price is set at $1/cartridge. Round your answer to the nearest dollar. ​ CS = $__________
where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the market price is set at $1/cartridge. Round your answer to the nearest dollar.

CS = $__________

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Definitions:

Specification Load

A defined weight or pressure that a structure, machine, or component is designed and built to support or carry.

Three-Element Frame

A type of vehicle frame comprising three main elements, offering a balance of flexibility and rigidity to support various mechanical components.

Section Modulus (SM)

A geometric property of a cross-section used in engineering to design for bending, indicating the strength of a beam or structural member.

Hardened Steel

Steel that has been treated through a heating and cooling process to increase its hardness and strength, making it resistant to wear and tear.

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