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expeople1 [14]
3 years ago
14

JVL Enterprises has set a target profit of $126,000. The company sells a single product for $50 per unit. Variable costs are $15

per unit and fixed costs total $98,000. How many units does JVL have to sell to BREAK-EVEN?
Business
1 answer:
kirza4 [7]3 years ago
6 0

Answer:

The break even unit is 2800 units.

Explanation:

The target profit of JVL Enterprises = $126000

The selling price of a single unit (SP) = $50 per unit.

Variable cost (VC) = $15

Fixed cost of the production (FC) = $98000

Now find the break-even unit by dividing the fixed cost with the difference of selling price and variable cost.

The break even unit = FC / (SP-VC)

= 98000 / (50 – 15)

= 2800 units

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The proportion of the investment is 100%.

Explanation:

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Rportfolio = (y * Rrisky) + ((1 - y) * Ttbill) ..................... (1)

Where;

Rportfolio = Overall portfolio expected rate of return = 15%. or 0.15

Rrisky = risky portfolio expected rate of return = 15%, or 0.15

Ttbill = T-bill rate = 10%, or 0.10

Substituting the values into equation (1) and solve for y, we have:

0.15 = (y * 0.15) + ((1 - y) * 0.10)

0.15 = 0.15y + 0.10(1 - y)

0.15 = 0.15y + 0.10 - 0.10y

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y = 0.05 / 0.05

y = 1.00, or 100%

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An investment project has annual cash inflows of $4,400, $3,900, $5,100, and $4,300, for the next four years, respectively. The
RoseWind [281]

Answer:

Discounted payback period shall be as follows:

a. 1 year 7.36 months

b. 2 years 3.27 months

c. 3 years 2.9 months

Explanation:

a. Payback period in case of cash outflow = $5,700

For calculating the pay back period we shall firstly discount the cash flows to present value @14 %.

Year         Cash Flow         PV Factor           PV of Cash Flow       Cumulative

                                                                                                            Cash Flow

0                 -  $5,700            1                             - $5,700                    -5,700

1                     $4,400         0.877                         $3,858.8                -$1,841.2

2                    $3,900         0.770                         $3,003                    $1,161.8

Since the cumulative cash flows are positive in 2nd year payback period =

1 + \frac{1,841.2}{3,003} \times 12 = 1 year and 7.36 months

b. Payback period in case of cash outflow = $7,800

For calculating the pay back period we shall firstly discount the cash flows to present value @14 %.

Year         Cash Flow         PV Factor           PV of Cash Flow       Cumulative

                                                                                                            Cash Flow

0                 -  $7,800            1                             - $7,800                    -7,800

1                     $4,400         0.877                         $3,858.8                -$3,941.2

2                    $3,900         0.770                         $3,003                    -$938.2

3                    $5,100          0.675                         $3,442.5                  $2,504.3

Since the cumulative cash flows are positive in 3rd year payback period =

2 + \frac{938.2}{3,442.5} \times 12 = 2 years and 3.27 months

b. Payback period in case of cash outflow = $10,800

For calculating the pay back period we shall firstly discount the cash flows to present value @14 %.

Year         Cash Flow         PV Factor           PV of Cash Flow       Cumulative

                                                                                                            Cash Flow

0               -  $10,800            1                          - $10,800                   -$10,800

1                   $4,400         0.877                         $3,858.8                 -$6,941.2

2                  $3,900         0.770                         $3,003                    -$3,938.2

3                  $5,100          0.675                         $3,442.5                   -$495.7

4                  $4,300          0.592                        $2,545.6                   $2,049.9

Since the cumulative cash flows are positive in 4th year payback period =

3 + \frac{495.7}{2,049.9} \times 12 = 3 years and 2.9 months

Final Answer

Discounted payback period shall be as follows:

a. 1 year 7.36 months

b. 2 years 3.27 months

c. 3 years 2.9 months

7 0
3 years ago
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