Assume that the demand curve D$($p$)$ given below is the market demand for widgets:

Q$=$D$($p$)=167117$p

$,$ p $>0$

Let the market supply of widgets be given by:

Q$=$S$($p$)=4+8$p

$,$ p $>0$

where p is the price and Q is the quantity. The functions D$($p$)$ and S$($p$)$ give the number of widgets demanded and supplied at a given price.

What is the equilibrium price? Please round your answer to the nearest hundredth.

Answer $(1$ point$)$

$66\mathrm{.}84$

Saved value: $66\mathrm{.}84$

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What is the equilibrium quantity? Please round your answer to the nearest integer.

Answer $(1$ point$)$

$515$

Saved value: $515$

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What is the consumer surplus at equilibrium? Please round the intercept to the nearest tenth and round your answer to the nearest integer.

Answer $(1$ point$)$

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What is the producer surplus at equilibrium? Please round the intercept to the nearest tenth and round your answer to the nearest integer.

Answer $(1$ point$)$

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What is the unmet demand at equilibrium? Please round your answer to the nearest integer.