At the beginning of its operations in March $2024,$ Larkspur Supplies Ltd$.$ began with $6,120$ units of inventory that it purchased at a cost of $$7\mathrm{.}50$ each. The company's purchases during March were as follows:

March $13$

$4,080$ units @ $$8\mathrm{.}25$

Sales during March:

March $2$

$4,080$ units

March $20$

$2,280$ units

Larkspur Supplies uses a perpetual inventory system.

$($a$)$

Calculate the cost of goods sold for March using the weighted$-$average cost formula. $($Round calculations for cost per unit to $4$ decimal places, e$.$g$.10\mathrm{.}5219$ and final answer to $0$ decimal places, e$.$g$.61,052.)$

Cost of goods sold $

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