How would the answer to each questions be answered with work?Need to have a solid understanding of Strokes theorem and Divergence from mulitivarible calculus to answer these.

 1)            XYZ CORP HAS THE FOLLOWING DATA:

                BUDGETED OVERHEAD                                   $156,000

                BUDGETED MACHINE HOURS (DRIVER)       40,000        PDOHR = 3.9

                ACTUAL MACHINE HOURS:

                                                JOB 17                                                      10,500   COGS

                                                JOB 18                                                        6,300   FG

                                                JOB 19                                                       16,800   FG

                                                JOB 20                                                        8,400   WIP

                                                                                                        42,000

JOBS 17, 18 & 19 WERE FINISHED.  JOB 17 WAS SOLD.  TOTAL ACTUAL OVERHEAD = $162,800. WHAT IS ACTUAL OVERHEAD IN FINISHED GOODS AFTER ADJUSTING FOR ANY OVER OR UNDER APPLIED OVERHEAD? (ASSUME OVERHEAD VARIANCE ALLOCATED AMONG WIP, FG AND COGS) (4 POINTS)

                ACTUAL OVERHEAD FG   89,540              6,300 + 16,800

                                                                                              42,000            X    162,800

2)          SMITH CORP PURCHASED $63,000 OF RM DURING THE CURRENT

      ACCOUNTING PERIOD.  SMITH INCURRED $90,000 OF DL AND $67,000 OF MFG

      OVERHEAD. ASSUME COMBINED INVENTORY FOR RM, WIP AND FG INCREASED

      BY $5,800. WHAT IS COGS? (4 POINTS)

      COGS 214,200

      63,000 + 90,000 + 67,000 – 5,800

3)         JOHNSON HAS THE FOLLOWING INFORMATION FOR THE LAST 4 MONTHS:

                MONTH                                UNITS                                    TOTAL COSTS

                MAY                                      7,870                                       $581,510

                JUNE                                      7,850                                       $581,750   LOW UNITS

                JULY                                      8,240                                       $606,940

                AUG                                       8,320                                       $607,600   HIGH UNITS

USING THE HIGH/LOW METHOD, ESTIMATE TOTAL COSTS AT 9,500 UNITS. (4 POINTS)

ESTIMATED TOTAL COSTS 672,500

607,600 – 581,750

 8,320 – 7,850            VC/ = 55

55 X 7,850 + 150,000 = 581,750 ALSO 55 X 8,320 + 150,000 = 607,600

55 X 9,500 + 150,000 = 672,500

4)         VAL CORP HAS TOTAL APPLIED OVERHEAD = $81,400. JOB 9 USED 7,700 MACHINE 

HOURS. TOTAL MACHINE HOURS = 22,000. ASSUME JOB 9 IS THE ONLY JOB REMAINING IN WIP AT THE END OF THE ACCOUNTING PERIOD. WHAT IS APPLIED OVERHEAD IN WIP? (4 POINTS)

                APPLIED OVERHEAD IN WIP 28,490

                81,400/22,000 X 7,700 = 28,490

                7,700/22,000 X 81,400 = 28,490

NOTE: PDOHR = 3.7

5)            SMITH ALLOCATED ADDITIONAL OVERHEAD TO PRODUCT X = $84,320 AFTER SWITCHING TO ABC.  PREVIOUSLY OVERHEAD WAS ALLOCATED USING ONLY DIRECT LABOR HOURS.  UNDER ABC OVERHEAD IS NOW ALLOCATED USING BOTH DIRECT LABOR HOURS AND MACHINE HOURS. PRODUCT X USES 76 PERCENT OF MACHINE TIME. $248,000 HAS BEEN ASSIGNED TO THE MACHINE POOL. WHAT IS PRODUCT X’S DIRECT LABOR PERCENTAGE? (4 POINTS)

DIRECT LABOR PERCENTAGE 42%

                (.76 – .42) 248,000 = 84,320

6)          GRACE SAVED $73,200 WHEN OUTSOURCING 9,200 UNITS.  GRACE SAVED $49,200

WHEN SHE OUTSOURCED 11,200 UNITS. AT WHAT UNIT LEVEL WILL INSIDE AND OUTSIDE PRODUCTION COSTS BE THE SAME? (4 POINTS)

                BREAK EVEN UNITS 15,300

                     UNITS          SAVINGS

                      9,200             73,200

                    11,200             49,200

                      2,000             24,000

                    24,000/2,000 = $12 (EXCESS OF OUTSIDE VC/ OVER INSIDE VC/)

                     9,200 + 73,200/12 = 15,300

                   11,200 + 49,200/12 = 15,300

7)    REX HAS THE FOLLOWING COST DATA:

                                UNITS = 18,000

                                VC/UNIT = $11

                                 FC/UNIT = $25

FIXED COST INCREASE 30 PERCENT AT 19,000 UNITS. WHAT IS TOTAL COST/UNIT AT 25,000 UNITS? (DON’T ROUND) (4 POINTS)

TOTAL COST/UNIT 34.4

              VC/UNIT      11

               FC/UNIT     23.4     (25 X 18,000)1.3

       34.4           25,000

               NOTE: TOTAL FC ABOVE 19,000 UNITS = 585,000

8)    REFER TO QUESTION 7. WHAT ARE TOTAL COSTS AT 27,500 UNITS? (2 POINTS)

                TOTAL COSTS 887,500

        11 X 27,500 + 585,000 = 887,500

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