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Valdosta Chemical Company manufactures two industrial chemical products in a joint process $.$ In May $,10,000$ gallons of input costing $ $68,400$ were processed at a cost of $ $171,000.$ The joint process resulted in $8,000$ pounds of Resoline and $2,000$ pounds of Krypto $.$ Resoline sells for $ $25$ per pound $,$ and Krypto sells for $ $50$ per pound $.$ Management generally processes each of these chemicals further in separable processes to produce more refined chemical products $.$ Resoline is processed separately at a cost of $ $5$ per pound $.$ The resulting product $,$ Resolite $,$ sells for $ $35$ per pound $.$ Krypto is processed separately at a cost of $ $15$ per pound $.$ The resulting product $,$ Kryptite $,$ sells for $ $95$ per pound $.$

Required :

$2$a$.$ Allocate the company's joint production costs for May using the physical $-$ units method $.$

$2$b$.$ Allocate the company's joint production costs for May using the relative $-$ sales $-$ value method $.$

$2$c$.$ Allocate the company's joint production costs for May using the net $-$ realizable $-$ value method $.$

$3$a$.$ Valdosta's management is considering an opportunity to process Kryptite further into a new product called Omega $.$ The separable processing will cost $ $40$ per pound $.$ Packaging costs for Omega are projected to be $ $6$ per pound $,$ and the anticipated sales price is $ $130$ per pound $.$ Calculate the incremental profit or loss from processing Kryptite into Omega $.$

$3$b$.$ Should Kryptite be processed further into Omega $?$

$4.$ In answering requirement $3,$ did you use your joint cost allocation from requirement $2?$ If so $,$ how did you use it $?$