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Gala2k [10]
3 years ago
11

1. Machine A and Machine B can produce 1 widget in 3 hours working together at their respective constant rates. If Machine A's s

peed were doubled, the two machines could produce 1 widget in 2 hours working together at their respective rates. How many hours does it currently take Machine A to produce 1 widget on its own?
Business
1 answer:
Iteru [2.4K]3 years ago
8 0

Answer: It will take Machine A 6hours

Explanation:

Let Machine A's output = x

Let Machine B's output = y

Therefore, x + y = 1/3..... Eqn1

Then

2x + y = 1/2..... Eqn2

Making y the subject of the formula in eqn 1

y = 1/3 - x

Substitute the value of y into eqn 2

2x + (1/3 - x) = 1/2

2x + 1\3 - x = 1/2

X = 1/2 - 1/3

X= 1/6

Since x represents machine A, therefore it takes Machine A 6hours to produce 1 widget

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C. cross-train the research personnel and the sales personnel in each other's functions so that in the event of a confidentiality breach, one can take over the functions of the other

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Answer: A. establish a Chinese Wall between the research personnel and the sales personnel

Explanation: In a bid to maintain confidentiality and avoid leakage of vital information, there must be a barrier between the research personnels who makes findings on investment opportunities and packages for client needs and the sales personnels. This is because, research and investment informations are treated as classified and leakage could lead to bias, whereby some consumers will get the information and make moves before other consumers are informed via official release by the firm.

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Answer:

a. The value of ending Inventory using FIFO is $2749.

b. The value of ending Inventory using LIFO is $2667.

c. The value of ending Inventory using Average Cost method is $2713.


We have:

Date     Explanation       Units      unit cost   Total Cost


Sep-01         inv                 11              97                1067


Sep-12 purchases        44               100              4400


Sep-19 purchases         47               101              4747


Sep-26 purchases         22               102              2244


Total                                 124                                  12458


Novak sold 97 snowboards, so the number of snowboards with it at the end of September is 124 -97 = 27 units.

If Novak adopts First In First Out (FIFO) method, and 27 units are remaining, all 22 units purchased on Sept-26th and 27 -22 = 5 units from the purchases made on Sept-19th will remain in inventory.

So the value of inventory using FIFO will be (22* 102) + (5*101) = 2749

If Novak adopts Last In First Out (LIFO) method, all 11 units in inventory on  Sept-01st and 27 -11 = 16 units from the purchases made on Sept-12th will remain in inventory.

Hence inventory value using LIFO will be (11* 97) + (16*100) = 2667

We calculate the Average cost by dividing the Total Cost by total number of units purchased.

Average Cost = \frac{12458}{124} = 100.468

The value of inventory using the average cost method is 100.648 * 27 =2713.

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