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LuckyWell [14K]
3 years ago
9

Fuzzy Tail Industries produces wooden picnic tables for fuzzy creatures (hamster and squirrel size are its most popular products

). The company is deciding whether or not to purchase a new machine that would require an initial investment of $52,000 and is expected to generate future cash flows of $10,000 in years 1 through 3, $8,000 for years 4 and 5, and $2,000 for years 6 and 7, and $4,000 for years 8 through 10. The company prefers a payback period of 4 years or less. What is the payback period for this machine
Business
1 answer:
scoray [572]3 years ago
5 0

Answer:

7.5 Years

Explanation:

The computation of the payback period of the given machine is shown below:

<u>Year       Initial outflow       Cash flow       Cumulative cash flow</u>

               (52000)  

1                                              10,000               10,000

2                                              10,000              20,000

3                                              10,000              30,000

4                                               8,000               38,000

5                                               8,000               46,000

6                                               2,000                48,000

7                                                2,000                50,000

8                                                4,000                 54000

9                                                4,000                 58000

10                                               4,000                 62000

Now the Payback period is

=  Completed years+ required cash ÷ annual cash inflow

= 7 years + 2000 ÷ 4000

= 7.5 Years

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Explanation:

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In simple lay man's language, the term premium and discount can be understood to carry a crude definition of high and low demand. When the demand would be high, the bonds would fetch a higher value and vice-versa.

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When demand shocks lead to recessions, it is mainly due to unexpected changes in the:________.
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Pheasant Co. can further process Product B to produce Product C. Product B is currently selling for $30 per pound and costs $28
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Answer:

differential cost of producing product C = $24 per pound

Explanation:

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differential cost of producing product C =  (28+24) - 28

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3 years ago
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3 years ago
The owner of an orange grove must decide when to pick one variety of oranges. She can sell them for $27 a bushel if she sells th
uysha [10]

Answer:

The oranges should be picked in 2 weeks for maximum return

Explanation:

We assume that the return of the owner is y ($)

Assume that the number of weeks the oranges should be picked to have maximum return is x (weeks). (x≥0)

If collect now, the price for each bushel is $27

As the price per bushel decrease by $1.50 per bushel each week

=> After x weeks, the price of a bushel decrease: 1.5x ($)

=> The price of 1 bushel after x weeks is: 27 - 1.5x ($)

If collect now, each tree can yield 7 bushels

As the yield increases by half a bushel per week for the next 5 weeks

=> After x weeks with x ≤ 5, each trees would yields: 7 + 0.5x (bushels)

The return = The price of each bushes × The quantity of bushels

=> y = (27-1.5x)(7+0.5x)

⇔y= 27 (7 +0.5x) - 1.5x(7+0.5x) = 189 + 13.5x - 10.5x - 0.75x^{2}

⇔y = -0.75x^{2} +3x +189

We have: if the equation has the form of y =ax^{2} +bx +c with a≠0, its maximum value is: max y = c - \frac{b^{2} }{4a}

In the equation y = -0.75x^{2} +3x +189, we have: a = -0.75; b = 3; c = 189

=> max y = c -\frac{b^{2} }{4a} = 189 - \frac{3^{2} }{4.(-0.75)} = 189 - \frac{9}{-3}  = 189 - (-3) = 189+3 = 192

To look for the number of weeks, we should find x (0≤x≤5) with which y = 192

192 = -0.75x^{2} +3x +189

⇔-0.75x^{2} + 3x + 189 - 192 = 0

⇔-0.75 x^{2} + 3x - 3 =0

⇔-0.75x^{2}  + 4*0.75x - 0.75*4 =0

⇔x^{2} -4x + 4 = 0

⇔ (x-2)^{2}  = 0

⇔ x = 2

The oranges should be picked in 2 weeks for maximum return

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3 years ago
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