Answer:
The recommended production quantity is that which maximizes profit.
Quantity 130
Explanation:
Quantity to produce is the problem here. Remember that this is one of the fundamental questions in the discipline of Economics.
- What to produce? - For whom to produce?
- How to produce? - In what quantity?
Possible Production Quantities:
100, 110, 120, and 130
Mean Demand = 100
Standard Deviation = 20
Lowest possible demand = 100 - 20 = 80units
Highest possible demand = 100 + 20 = 120units
* Solve, using the mean demand for each quantity level. Assume also that on every Monday, the minimum possible quantity is what is purchased. That's the safest assumption anyway.
FOR QUANTITY 100,
Revenue = 7×100 = $700 Direct cost = 2×100 = $200
Indirect cost = 0.6×20 = $12 Total cost = 200 + 12 = $212
PROFIT = 700 - 212 = $488
FOR QUANTITY 110,
Revenue = 7×110 = $770 Direct cost = 2×110 = $220
Indirect cost = 0.6×30 = $18 Total cost = 220 + 18 = $238
PROFIT = 770 - 238 = $532
FOR QUANTITY 120,
Revenue = 7×120 = $840 Direct cost = 2×120 = $240
Indirect cost = 0.6×40 = $24 Total cost = $264
PROFIT = 840 - 264 = $576
FOR QUANTITY 130,
Revenue = 7×130 = $910 Direct cost = 2×130 = $260
Indirect cost = 0.6×50 = $30 Total cost = $290
PROFIT = 910 - 290 = $620
Remember, the base assumption is that only the minimum quantity of 80units is bought each Monday. This is the only way to account for wastage; which costs 0.6 dollar per unit. So, the more the quantity produced, the greater the likelihood of wastage.
