In: Economics
Q2. A company is producing 2200 plates per day. The direct material cost for producing 1200 plates is AED 5300/- Direct labor cost per day is AED 3200.00 and factory over head is AED 4200.00 . If the selling cost is 28 % of the factory cost , what must be the selling price of each plate to release a profit of 20 % of the selling price ?
Let the selling price is X.
Profit = X × 20% = 0.20X
Material cost per unit = Total material cost for 1200 units / 1200 units
= 5300 / 1200
= 4.4166
Labor cost per unit = Total labor cost per day / Production per day
= 3200 / 2200
= 1.4545
Factory overhead per unit = Total factory overhead per day / Production per day
= 4200 / 2200
= 1.9090
Factory cost per unit = Material cost per unit + Labor cost per unit + Factory overhead per unit
= 4.4166 + 1.4545 + 1.9090
= 7.7801
Selling cost per unit = Factory cost per unit × 28%
= 7.7801 × 28%
= 2.1784
Total cost per unit = Factory cost per unit + Selling cost per unit
= 7.7801 + 2.1784
= 9.9585
Selling price = Total cost per unit + Profit
X = 9.9585 + 0.20X
0.80X = 9.9585
X = 9.9585 / 0.80 = 12.448125
Answer: Required selling price is 12.45 (rounded).