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Lerok [7]
3 years ago
10

Graham receives $640,000 at his retirement. he invests x in a twenty-year annuityimmediate with annual payments and the remainin

g $640, 000 − x is used to purchase a perpetuity-immediate with annual payments. his total annual payments received during the first twenty years are twice as large as those received thereafter. the annual effective interest rate is 5%. find x.
Business
1 answer:
sergeinik [125]3 years ago
3 0
<span>For the amount invested in the 20 year annuity immediate,

the return will be;
 r/(1 - (1+r)^-n) = 0.05/(1- 1.05^-20)
= 0.0802425872
= 8.02425872% 

Now, return on perpetuity-immediate = 5% 

So, 5% + </span>8.02425872% = 13.02425872<span>

for equal returns from both investments,
X = 5/(13.02425872) x 640,000

= $245,695.365 

= $ 245,695.36 </span>
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Becton Labs, Inc., produces various chemical compounds for industrial use. One compound, called Fludex, is prepared using an ela
brilliants [131]

Answer:

Becton Labs, Inc.

1. Direct materials:

a. Price variance

= $20,600 Favorable

Quantity variance

= $1,890 Unfavorable

b. The company can sign the contract provided it is made clear to the new supplier that price variations would not be welcome shortly after signing the contract, but will depend on the market realities.

2. Direct labor:

a. Direct labor rate and efficiency variances:

Direct labor rate variance

= $3,200 Favorable

Efficiency variance

= $8,160 Unfavorable

b. I would not recommend that the new labor mix be continued.  The old mix may be working better because the labor efficiency cost increased with the new mix labor mix.

3. The variable overhead rate and efficiency variances:

Variable overhead rate variance

= $5,200 Favorable

Variable overhead efficiency variance

= $2,380 Unfavorable

Explanation:

a) Data and Calculations:

Standard  Costs for 1 Unit of Fludex:

                                              Standard              Standard      Standard Cost

                                        Quantity or Hours   Price or Rate  

Direct materials                     2.40 ounces    $27.00 per ounce   $64.80

Direct labor                           0.60 hours        $12.00 per hour          7.20

Variable manufacturing

overhead                             0.60 hours          $3.50 per hour          2.10

Total standard cost per unit                                                           $74.10

Activities recorded during November:

a. Materials purchased = 13,000 ounces at $330,300

Each ounce = $25.41 (330,300/13,000)

b. Materials used for production = 10,150 ounces (13,000 - 2,850)

Standard materials = 4,200 * 2.40 = 10,080 ounces

c. Direct labor hours = 20 * 160 = 3,200 hours

Standard labor hours = 0.60 * 4,200 = 2,520

Average labor rate = $11.00 per hour

Direct labor costs = $35,200 ($11.00 * 3,200)

d. Standard variable overhead = $11,200 (3,200 *$3.50)

Actual overhead incurred = $6,000

Actual overhead rate = $1.43 ($6,000/4,200)

e. Units produced = 4,200

1. Direct materials:

a. Price variance = (Actual price - standard price)* Actual units

= ($25.41 - $27.00)13,000 = $20,600 F

Quantity variance = (Actual quantity - Standard quantity) Standard Cost

= (10,150 - 10,080) * $27.00

= $1,890 U

b. The company can sign the contract provided it is made clear to the new supplier that price variations would not be welcome shortly after signing the contract, but will depend on the market realities.

2. Direct labor:

a. Direct labor rate and efficiency variances:

Direct labor rate variance = (Actual rate - Standard rate) * Actual hours

= ($11 - $12) * 3,200 = $3,200 Favorable

Efficiency variance = (Actual hours - Standard hours) * Standard rate

= (3,200 - 2,520) * $12

= $8,160 Unfavorable

b. I would not recommend that the new labor mix be continued.  The old may be working better because the labor efficiency cost increased.

3. The variable overhead rate and efficiency variances:

Variable overhead rate variance = Actual costs − (AH × SR)

= $6,000 - (3,200 * $3.50)

= $6,000 - $11,200

= $5,200 Favorable

Variable overhead efficiency variance =  (AH − SH) × SR

= (3,200 - 2,520) * $3.50

= $2,380 Unfavorable

3 0
3 years ago
An investor buys 100 shares of walmart at $45 per share on margin with an initial margin of 70% and a maintenance margin of 25%.
lana [24]
6250 + 56 = 6250 price
6 0
3 years ago
On July 1, 2020, Indigo Co. pays $9,400 to Sweet Insurance Co. for a 2-year insurance policy. Both companies have fiscal years e
aliya0001 [1]

Answer:

Explanation:

The journal entries are shown below:

On July 1

Prepaid insurance A/c Dr $9,400

    To Cash A/c $9,400

(Being the prepaid insurance for cash is recorded)

On December 31

Insurance expense A/c Dr $2,350

         To Prepaid insurance A/c $2,350

(Being the insurance expense is recorded)

The computation is shown below:

= Prepaid insurance amount ÷ number of years × number of months ÷ total number of months in a year

= $9,400 ÷ 2 years × 6 months ÷ 12 months

= $2,350

6 0
3 years ago
Suppose that Greece and Germany both produce oil and shoes. Greece's opportunity cost of producing a pair of shoes is 5 barrels
Mila [183]

Answer:

1. Greece, Germany

2. 2.2 barrels of oil, 0.45 pairs of shoes

3. d. 10 barrels of oil per pair of shoes

Explanation:

a) Data and Calculations:

To produce a pair of shoes costs Greece 5 barrels of oil

To produce a pair of shoes costs Germany 11 barrels of oil

b) This means that it costs Germany more than Greece to produce a pair of shoes, and Germany produces a lot of oil to the extent that she is willing to exchange her 11 barrels of oil for a pair of shoes while Greece can only exchange 5 barrels of oil for a pair of shoes.

8 0
3 years ago
Mazeppa Corporation sells relays at a selling price of $28 per unit. The company's cost per unit, based on full capacity of 160,
ella [17]

Answer:

a. $20.00

b. $28,75

Explanation:

Find the total incremental costs to satisfy the special order and add $2.00 profit (because we are aiming for a profit not to just break-even).

<u>Calculation of Total Incremental Unit Costs</u>

Direct materials                                          $6 .00

Direct labor                                                 $4.00

Variable Overheads (2/3 × $9)                  $6.00

Shipping Cost                                             $2.00

Total Incremental Unit Cost                      $18.00

<em>Add</em> Profit Element                                     $2.00

Unit Selling Price for the Special Order  $20.00

In this case no changes will occur on fixed overheads, hence it is irrelevant.

<u>Calculation of Desired Net Operating Income</u>

Sales ($28 × 160,000 units)                                     $4,480,000

Less Product Costs :

Direct materials ($6 .00 × 160,000 units)                 ($960,000)

Direct labor ($4.00 × 160,000 units)                        ($640,000)

Variable Overheads ($6.00 × 160,000 units)          ($960,000)

Fixed Overheads ($3.00 × 160,000 units)               ($480,000)

Current Operating Income                                       $1,440,000

Add Desired Increase in Operating Income               $60,000

Desired Operating Income                                      $1,500,000

Unit Profit = $1,500,000 ÷ 160,000 units

                  = $9.375

Unit Profit = Unit Selling Price - Total Unit Costs - Unit Incremental Profit

therefore,

Unit Selling Price = Unit Profit  + Total Unit Costs + Unit Incremental Profit

                             = $9.375 + $19.00 + $0.375

                             = $28,75

5 0
3 years ago
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