A company's quarterly performance is evaluated based on three criteria: Revenue Growth $(40\%),$ Profit Margin $(30\%),$ and Customer Satisfaction Index $(30\%).$ If the company achieved the following metrics for the quarter:

Revenue Growth: $15\%$

Profit Margin: $10\%$

Customer Satisfaction Index: $90\%$

What is the weighted average performance score for the quarter?

Weighted Average$=($Revenue Growth$\backslash$times $0\mathrm{.}4)+($Profit Margin$\backslash$times $0\mathrm{.}3)+($Customer Satisfaction Index$\backslash$times $0\mathrm{.}3)$