A) For the first half of the year, the monthly demand averages to 560 / 6 = 93.33
Order size for the first six months can be calculated using: Sqrt(2 x A x O / C)
Where:
O is the cost of placing an order
C is the carrying cost per order
= Sqrt(2 x 93.33 x 55 / 2) = 71.65, rounded to 72
For the second half of the year, the monthly demand is 900 / 6 = 150
Order size for the second six months:
= Sqrt(2 x A x O / C)
= Sqrt(2 x 150 x 55 / 2)
= 90.83 or 91
B) For the first six months: Total monthly cost = (Q/2) x H + (d/Q) x S= (72 / 2) x 2 + (93.33 / 72) x 5 = $143.30 With a $10 discount, S = $ 55 - $10 = $ 45
Monthly TC at Q = 50 = (50/2) x 2 + (93.33 / 50)x 45 = $134.0 Monthly TC at Q = 100 = (100/2) x 2 + (93.33 / 100) x 45 = $142.00
Monthly TC at Q = 150 = (150/2) x 2 + (93.33 / 150) x 45 = $178.00
C)
Indeed, the manager should take advantage of this proposal and order Q = 50 units for the first six months. For the second six months, d = monthly demand = 900 / 6
= 150,
H = $2.00 for each unit monthly, S = $55, & EOQ = 91.
Calculating Monthly TC (Q = 91):
= (91/2) x 2 + (150/91) x 55
= $181.66
Monthly TC (Q = 50):= (50/2)x2 + (150/50)x 45= $185 Monthly TC (Q = 100) = (100/2) x 2 + (150/100) x 45= $167.50
Monthly TC (Q = 150)= (150/2) x 2 + (150/150) x 45= $195
The total value of the inventory lost in the tornado is $105,700. Explanation: The relationship is captured in this equation: Beginning inventory + inventory purchases + Gross profit = Sales + ending inventory. Plugging in the figures, $228,350 + $199,400 + $322,050 = $644,100 + ending inventory resolves to $749,800 = $644,100 + ending inventory. Thus, determining that the ending inventory amounts to $749,800 - $644,100 results in $105,700. The gross profit is calculated as Gross profit percentage multiplied by sales: 50% multiplied by $644,100 yields $322,050. Since the inventory was destroyed in the tornado, we assume the ending inventory lost corresponds to $105,700.
A Decision Support System (DSS) is an interactive information framework comprising hardware, software, data, and mathematical and statistical models designed to aid decision-makers within an organization. The components of a DSS include a database, model base, and a user interface. DSS requirements stipulate that it must be interactive, integrate the human factor along with hardware and software, and utilize both internal and external data.
D) is the correct option
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Response:
The answer follows below.
Clarification:
Concept of Economic Unit
2014 2015
Jannison Inc. 308000 364000
Techron Co. 98000 126000
Subtotal 406000 490000
Subtract: Amortization 11000 11000
Net Income Total 395000 479000
Non-Controlling Interest
= 10 % of Techron Co,
(after accounting for amortization costs)
= 10% (98000-11000) 8700
= 10% (126000-11000) 11500
Total Consolidated Income 386300 467500
(post Noncontrolling interest distribution)
According to the Economic Unit concept, both companies are viewed as a single entity, thus their incomes are aggregated to determine the overall business income