Choi Company manufactures two skin care lotions, Smooth Skin and Silken Skin, from a joint process. The joint costs incurred are $$340,000$ for a standard production run that generates $170,000$ pints of Smooth Skin and $180,000$ pints of Silken Skin. Smooth Skin sells for $$2\mathrm{.}70$ per pint, while Silken Skin sells for $$4\mathrm{.}40$ per pint.

Required:

$1.$ Assuming that both products are sold at the split$-$off point, how much of the joint cost of each production run is allocated to Smooth Skin using the relative sales value method?

$2.$ If no separable costs are incurred after the split$-$off point, how much of the joint cost of each production run is allocated to Silken Skin using the physical measure method?

$3.$ If separable processing costs beyond the split$-$off point are $$1\mathrm{.}20$ per pint for Smooth Skin and $$1\mathrm{.}00$ per pint for Silken Skin, how much of the joint cost of each production run is allocated to Silken Skin using a net realizable value method?

$4.$ If separable processing costs beyond the split$-$off point are $$1\mathrm{.}20$ per pint for Smooth Skin and $$1\mathrm{.}00$ per pint for Silken Skin, how much of the joint cost of each production run is allocated to Smooth Skin using a physical measure method?