A company wants to forecast demand using the weighted moving average. If the company uses three prior yearly sales values $($i$.$e$.,$ year $2021=160,$ year $2022=140,$ and year $2023=170),$ and we want to weight year $2021$ at $30\%,$ year $2022$ at $30\%,$ and year $2023$ at $40\%,$ which of the following is the weighted moving average forecast for year $2024?$

$152$

$146$

$158$

$168$

$170$