A chemical plant has joint production. At the start of production, raw materials are added together in the Heating Department. Three chemicals emerge from the heating process: Chemical A, Chemical B, and Chemical C. Chemicals A and B are considered main products while Chemical C is considered a by-product. Chemical A requires further processing in the Blending Department. For May, the plant reports the following costs: $ 270,000 Raw materials purchased and used in production in Heating Department 180,000 Heating Department conversion costs (wages of workers, paid in cash) 60,000 Blending Department conversion costs (wages of workers, paid in cash) During May, the plant produced the following quantities: 6,000 gallons, Chemical A 3,000 gallons, Chemical B 1,000 gallons, Chemical C During May, the company sold 5,000 gallons of Chemical A (cash) and nothing of Chemical B. Regarding Chemical C, the company sold 700 gallons for (cash). Sales price per gallon: $75 Chemical A; $4 Chemical C.. The company uses process costing. For by-product (Chemical C), the company records the sales value as other income. For May, to simplify calculations, assume that all beginning inventory is zero. Also, assume that there is no work-in-process at the end of May. Required (1) Determine the allocation of joint costs using gallons produced. (2) Provide all accounting entries for May. (Note: there are two work-in-process accounts: W-I-P, Heating Dept; W-I-P, Blending Dept. For entries involving work-in-process, specify accordingly.)