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Dmitriy789 [7]
3 years ago
7

Gelb Company currently manufactures 52,500 units per year of a key component for its manufacturing process. Variable costs are $

4.05 per unit, fixed costs related to making this component are $65,000 per year, and allocated fixed costs are $75,500 per year. The allocated fixed costs are unavoidable whether the company makes or buys this component. The company is considering buying this component from a supplier for $3.50 per unit. Calculate the total incremental cost of making 52,500 units and buying 52,500 units. Should it continue to manufacture the component, or should it buy this component from the outside supplier
Business
1 answer:
Hoochie [10]3 years ago
7 0

Answer:

Gelb Company should choose to Buy the Component since it is the cheaper option. This gives a cost advantage of $28,875.

Explanation:

For each Option, include costs which are unavoidable because those would change as a result of this decision, they are relevant costs items.

Total incremental cost : Making

Variable costs (52,500 x $4.05)    $212,625

Fixed Costs (unavoidable)               $75,500

Total                                                 $288,125

Total incremental cost : Buying

Purchase Price ( 52,500 x $3.50) $183,750

Fixed Costs (unavoidable)              $75,500

Total                                               $259,250

Conclusion :

Gelb Company should choose to Buy the Component since it is the cheaper option. This gives a cost advantage of $28,875 ($288,125 - $259,250).

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Explanation:

a. Contribution formula = Sale - Variable Cost

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Variable Cost per passenger = $20

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b. Contribution Margin ratio formula = Contribution/Sale

Sales per passenger = 50

Contribution per passenger = 30

Contribution margin ratio (30/50) = 60%

c. Operating profit = Contribution margin- Fixed Cost

Monthly sale total for 13000 passenger

Sale per passenger = $50

Total sale for 13000 passenger 13000*50 = $650,000

Contribution Margin per passenger =$30

Total Contribution margin for 13000 passenger = 13000*30 =                                    $390,000

Less: Fixed Cost = 270,000

Operating Income  (390000-270000) = $120,000

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Contribution margin = (520000*60%) = $312,000

Less: Fixed Cost = 270,000

Operating Profit = $42,000

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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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