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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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Nissan’s all-electric car, the Leaf, has a base price of $32,780 in the United States, but it is eligible for a $7500 federal ta
katen-ka-za [31]

Answer:

Nissan's all-electric car, the Leaf

PV cost of Leaf Purchase =   $16,529

PV cost of Leasing =             $12,944.78

The company should lease the car.

Explanation:

a) Costs incurred to purchase the Leaf:

Base price                    $32,780

less Federal tax credit ($7,500)

Charging station             2,200

less 50% tax credit         (1,100)

Cash paid                  $26,380

Sales value after 3 yrs (9,851) ( $26,380 - 40% of base discounted to PV)

Net PV Investment    $16,529

b) Calculation of Discounted Present Values of Payments under Leasing, using online financial calculator:

PV (Present Value) $12,944.78

N (Number of Periods) 3.000

I/Y (Interest Rate) 10.000%

PMT (Periodic Payment)   $4,200.00

Starting Investment $2,500.00

Total Principal $15,100.00

Total Interest $2,129.50

c) The purchase of the Leaf would involve a present value cost of $26,380 after deducting all the savings from tax.  The 40% sales value of the car at the end of 3 years = $13,112 ($32,780 x 40%).  When this sales value is discounted to PV of $9,851, the PV of the car investments becomes $16,529 ($26,380 - $9,851).  On the other hand, leasing will cost in PV the sum of $12,944.78

.

6 0
3 years ago
Ryan's Sparkling Jewels estimated its payroll for the coming year to be $84,000. Its workers' compensation
jarptica [38.1K]

Ryan's Sparkling Jewels estimated its payroll for the coming year to be $84,000. Its workers' compensation insurance premium rate of 0.6% is paid at the beginning of each quarter required: Calculate the estimated cost of workers' compensation insurance for the year.

Answer:

$504 per year

$126 per quarter

Explanation:

workers' compensation insurance = payroll x insurance rate.

$84,000 x 0.6%

$84,000 x 0.006 = $504 per year

$504 ÷ 4 = $126 per quarter

5 0
3 years ago
Barrington Mills Manufactures denim cloth from two primary raw materials, cotton and dye. Work-in-process includes lapped cotton
8_murik_8 [283]

Answer:

weeks of supply 2,7122857

Explanation:

17,500,000 / 50 weeks = 350,000 COGS per week

<u>current finished inventory: </u>

250  x $  65  =   16,250

 190  x $  80  =   15,200

 310  x $ 105  =<u>  32,550</u>

Total                    64,000

<u><em>cost added:</em></u>

 70,000 materials x $ 2.75

125,000 materials x $ 5.00

   <em>total                    817500</em>

<u><em>WIP:</em></u>

 2,000 rolls     x  $  10.50

 5,000 spools x  $    6.75

    500 rolls     x  $   26.10

  total             $ 67,800

Total inventory: <em>817,500</em> + 67,800 + 64,000 = 949300

<em><u>week of supply:</u></em>

inventory of 949300

and 350,000 goods are consumer per week

week: 2,7122857

3 0
3 years ago
If a good is normal, then an increase in income will result in a(n) a. increase in the demand for the good. b. decrease in the d
andrew11 [14]

Answer:

a. increase in the demand for the good.

Explanation:

As we know that

In the case of normal goods, there is a positive relationship between the income and the quantity demand. If the income rises, the quantity demand is also rising and vice versa

But in the case of inferior goods, it shows an inverse relationship between the income and the quantity demand. If the income rises, the quantity demand is falling and vice versa

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