In: Operations Management
Total Sales: $77,500
Food Sales: $62,000
Beverage Sales: $12,000
Other Sales: $3,500
Food Purchases: $19,500
Beverage Purchases: $3,250
Beginning Food Inventory: $14,000
Beginning Beverage Inventory: $2,700
Ending Food Inventory: $17,900
Ending Beverage Inventory: $3410
Labor Dollars Spent: $26,450
Answer
Food Sales: $62,000 ----- (1A)
Beverage Sales: $12,000 ------ (2A)
Other Sales: $3,500 ---- (3A)
Total Sales: $77,500 --- (4)
Beginning Food Inventory: $14,000
Food Purchases: $19,500
Ending Food Inventory: $17,900
Therefore, Cost of Food = ($14,000 + $19,500) - $17,900 = $15,600 ---- (1B)
Beginning Beverage Inventory: $2,700
Beverage Purchases: $3,250
Ending Beverage Inventory: $3410
Therefore, Cost of Beverage = ($2,700 + $3,250) - $3410 = $2,540 ---- (2B)
Labor Dollars Spent: $26,450 --- (3B)
Therefore, Prime Cost = (1B) + (2B) + (3B)
= $15,600 + $2,540 + $26,450 = $44,590 ---- (5)
Prime Cost Percentage = Prime Cost / Total Sales x 100
= {(5) / (4)} * 100 = {44590/ 77500} * 100 = 57.53%
Food Cost percentage = 100 * {(1B) / (5)} = 100 * {15600/ 44590} = 34.98% -- (6)
Beverage cost percentage = 100 * {(2B) / (5)} = 100 * {2540/ 44590} = 5.7% --- (7)
Labor Cost percentage = 100 * {(3B) / (5)} = 100 * {26450 / 44590} = 59.32% --- (8)
Contribution = total sales less total variable costs = (4) – (5)
= $77,500 - $44,590 = $32,910 --- (9)
Contribution per unit = selling price per unit less variable costs per unit
= $3.45 – (57.53% of $3.45) = $1.46 --- (10)
If we change food cost to 32% from 34.98% then the contribution margin
= $3.45 – (55.82% of $3.45) = $1.52 --- (11)
(Note: - 55.82% is the revised Prime Cost % on reducing food cost to 32%)