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Math $110$ Course Resources

Applications of Definite Integrals Course Packet on consumer, producer and total surplus

Video Tutorial

Suppose the daily supply equation for noise cancelling wireless headphones is given by

$p=S(x)=40+60e^{0\mathrm{.}06x}$

where $p$ is in dollars and $x$ is the number of headphones produced daily. Determine the quantity supplied if the market price is $340$ dollars.

Quantity supplied $($exact value$)=$ units

Determine the producer surplus at the market price of $340$ dollars.

Producer surplus $($exact value$)=$ dollars

Producer surplus $($rounded to the nearest dollar$)=$ dollars