WCP$\mathrm{.}3$Based on the compatibility and efficiency of its newly designed sprinkler systems, Waterways was successful in its bid to upgrade the irrigation systems for $10$ soccer fields owned by the local municipality. Three of the local installation operators were assigner work on the upgrades because all these employees were familiar with the new systems. At the end of the first month of work, the following information was pulled from the work in process inventory records for the jobs that had been started by the three grouDirectQDirectMaterialsManufacturingOverheadWIPTotalJob SOC$-01$May $10$May $15$May $31$S $5\mathrm{.}00$C$$12,500$$ $7,0006,000$$$13\mathrm{.}00$CJob SOC$-02$$$3\mathrm{.}000$May $15$May $311,200$$$4,200$$$4,3003,000$$$7300$Job SOC$-03$May $15$May $18$May $316,0004\mathrm{.}500$$$10\mathrm{.}500$$ $2\mathrm{.}0006\mathrm{.}0004,500$$$12\mathrm{.}500$During the month of June, the following transactions related to the three active upgrades took place:June $1$amine $1$June $2$June $3$June $5$anne $15$June $16$June $21$Anne $91$hine $23$une $30$Sune $30$ne $20$June $30$Requisitioned site supplies from raw materials inventory$-$Job SOC$-01,$ $$1,325$; Job SOC$-02,$ $$860.$Annual construction liability insurance premium paid for three site crews, $$18,000.$Monthly rental of small equipment for all three sites, $$910.$Requisitioned site supplies from raw materials inventory$-$Job SOC$-03,$ $$891.$Requisitioned direct materials from raw materials inventory Job SOC$-01,$ $$2,100$; Job SOC$-02,$ $$6,000$; Job SOC$-03,$ $$500.$Paid direct labour costs: Job SOC$-01,$ $$5,000$; Job SOC$-02,$ $$8,000$; Job SOC$-03,$ $$1,500.$Job SOC$-01$ completed.Requisitioned direct materials from raw materials inventory$-$Job SOC$-03,$ $$3,000.$Requisitioned site supplies from raw materials inventory$-$Job SOC$-03,$ $$756.$Job SOC$-$o$3$ completed.Monthly depreciation on large equipment for three sites, $$6,000.$Paid direct labour costs: Job SOC$-02,$ $$3,200$; Job SOC$-03,$ $$7,200.$Paid salary for site supervisors, delivery driver, and site cleaners, $$12,980$Paid rent for on$-$site portable toilets and garbage containers for the month, $$2,100$$ $8,4007\mathrm{.}200$$$15,600,16035660$$$8,760$$ $2\mathrm{.}4067\mathrm{.}2005\mathrm{.}400$$$15\mathrm{.}000$$$41,100$$$20,260$$$38,000$Instructionsa. Using just the information provided from the work in process balances for May $31,$ calculate the predetermined overhead rate that Waterways has been using for its installations.b$.$ Waterways writes off any balance in the manufacturing overhead account to Cost of Goods Sold at the end of every month. Assuming that all the transactions listed above are related to the three upgrades, calculate the balance in the manufacturing overhead account at the end of June, and indicate if it is over$-$ or under$-$applied.c$.$ Prepare summary journal entries to record all the transactions for the month of June, Dates and explanations are not required.