Sarah decided to try her hand at beekeeping. The costs that went into the harvesting process included the cost of the beehives, the original bee colony, and her own time and equipment. This past year, she harvested $160$ pounds of honey and $40$ pounds of honeycomb for a total cost of $$2,000.$ She has several outlets for selling her organic honey. The average sales price at these outlets is $$4$ per $8oz.$ jar. The honeycomb can be sold as well, for $$3$ per pound.

$($a$)$

How much of the joint harvesting cost will Sarah allocate to each product if she uses the sales value at split$-$off method? $($Round proportion to $4$ decimal places, e$.$g$.0\mathrm{.}2516$ and final answers to $2$ decimal places, e$.$g$.5,125\mathrm{.}25.)$

$($a$)$How much of the joint harvesting cost will Sarah allocate to each product if she uses the sales value at split$-$off method? $($Round proportion to $4$ decimal places, e$.$g$.0\mathrm{.}2516$ and final answers to $2$ decimal places, e$.$g$.5,125\mathrm{.}25.)$

$\backslash$table$[[,$Honey,Honeycomb$],[$Allocated joint costs $$$,,]]$