# Liquidity Deployment

{% hint style="info" %}
If liquidity is provided to Joe/USDC pair , here Joe is the Base asset and USDC is the Quote asset .
{% endhint %}

### Parameters that determine the deployment logic 

1\) **Quantity of asset in PCA reserve** - Do not deploy more than 3x (Alpha) the quantity available in reserve.

2\) **Base asset in pool available to pair with quote asset** - If quote asset is not sufficient to pair with all base assets , it will be proportionately distributed across pools.

3\) **DLQ staked in the pool** - DLQ staked + Reserve of Joe = LP Sushi . Which means at least 2/3rd of the value of asset in pool should be staked by LDs.

### Equations and logic.

1\) **Based on qty asset in  PCA** -

* (ABC\_inPCA) = QTY of asset in Reserve .
* (Alpha) = Reserve multiple 
* (ABC\_LP) = QTY of asset in pool .
* (ABC\_deployable) = QTY of asset that can be deployed .

$$
IF \space ABC\_{inPCA} \times Alpha  \geq ABC\_{LP} \newline THEN \space LP\_{ABC\_{deployable1}} = ABC\_{LP} \newline IF \space ABC\_{inPCA} \space \times \space Alpha \leq ABC\_{LP} \newline THEN \space LP\_{ABC\_{deployable1}} \space = ABC\_{inPCA} \times Alpha
$$

​

2\) **Based on quote asset available to pair -** 

If the qty of quote asset available to pair isn't enough , the quote asset will be pro rata distributed across the pools.

$$
IF \space LPquote\_{deployable1} \geq SumAssets\_{deployable1} \newline THEN \space Quote\_{pairable} = 1 \newline IF \space LPquote\_{deployable1} < SumAssets\_{deployable1}\newline THEN \space Quote\_{pairable}= LPquote\_{deployable1}\space \div SumAssets\_{deployable1}\newline \rightarrow LP\_{ABC\_{deployable1}} \times Quote\_{pairable}= LP\_{ABC\_{deployable2}}
$$

l.


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