Question

Runner Stage Supplies is a manufacturer of a specialized type of light used in theaters. Information...

Runner Stage Supplies is a manufacturer of a specialized type of light used in theaters. Information on the first 3 years of business is as follows:
2017 2018 2019 Total
Units sold 4,850 4,850 4,850 14,550
Units produced 4,850 5,820 3,880 14,550
Fixed production costs $65,766 $65,766 $65,766
Variable production costs per unit $69 $69 $69
Selling price per unit $211 $211 $211
Fixed selling and administrative expense $4,630 $4,630 $4,630

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(a)

Calculate profit and the value of ending inventory for each year using full costing. (Round cost per unit to 2 decimal places, e.g. 15.25 and other answers to 0 decimal places, e.g. 125.)

2017 2018 2019

Cost per unit $_______ $_______ $_______

Net profit $_______ $_______ $_______

Ending inventory $_______ $_______ $________

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Answer #1

Sol:

                                       Computation of Inventory (units)

2017 2018 2019
Beginning inventory (units) 0 0 970
Add: Units Produced 4850 5820 3880
Total Units 4850 5820 4850
Less : Units Sold 4850 4850 4850
Ending Inventory (Units) 0 970 0

        

                                               Statement of Cost & Profit

2017 2018 2019
Sales Revenue(A) $          1,023,350 $          1,023,350 $          1,023,350
Variable cost (B) =unit produced * $ 69 $              334,650 $              401,580 $              267,720
Fixed Production Cost (D) $                65,766 $                65,766 $                65,766
Total Production Cost (E) = (B+D) $              400,416 $              467,346 $              333,486
Production Cost per unit (F)= (Total production Cost (E)/ Total Unit produced) $                   82.56 $                   80.30 $                   85.95
Add: Opening Stock (G) $                          -   $                          -   $          77,891.00
Less : Closing Stock (H)= Ending inventory * production cost per unit(F) $                          -   $          77,891.00 $                          -  
Cost of Goods Sold (I)=(E+G-H) $        400,416.00 $        389,455.00 $        411,377.00
Add: Fixed Selling & Administration Cost (J) $             4,630.00 $             4,630.00 $             4,630.00
Cost Of Sales (K) = (I+J) $        405,046.00 $        394,085.00 $        416,007.00
Net Profit = {Sales Revenue(A) - Cost of sales(K)} $              618,304 $              629,265 $              607,343

                                Valuation of Closing Inventory

Ending Inventory : 2017 2018 2019
Units 0 970 0
Variable Cost $                66,930
Fixed production cost $                10,961
Total Ending inventory value 0 $                77,891 0

Or

Value of Ending Inventory = Ending Inventory (units) * Production cost per unit

                                         = 970 * $ 80.30

                                          = $ 77,891

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