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Gekata [30.6K]
3 years ago
9

A gas station with only one gas pump employs the following policy: If a customer has to wait to buy the gasoline, the price is $

3.50 per gallon. If she does not have to wait to buy the gasoline, the price is $4.00 per gallon. Customers arrive according to a Poisson process with a mean rate of 20 per hour. Service times at the pump have an exponential distribution with a mean of 2 minutes. Arriving customers always wait until they can eventually buy gasoline. Determine the expected price (in $) of gasoline per gallon. Group of answer choices
Business
1 answer:
vekshin13 years ago
5 0

Answer:

Explanation:

The arrival rate (λ) = 20 customers per hour. Since the service times at the pump have an exponential distribution with a mean of 2 minutes, therefore the service rate (μ) = 60 / 2 = 30 customers per hour.

The probability of the no  customers being in the system(P₀) is given as:

P_0=1-\frac{\lambda}{\mu} =1-\frac{20}{30}=1-0.67=0.33

If no customer is in the system we can sell gasoline for $4 /gallon to the next customer. The expected price p of gasoline is given by:

P=P_0*4+(1-P_0)3.5=0.33*4+(1-0.33)3.5=1.32+2.345=3.665

P = $3.665 per gallon

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On January 1, 2021, the general ledger of Big Blast Fireworks includes the following account balances:Accounts Debit Credit Cash
wolverine [178]

Answer:

Big Blast Fireworks

a) General Journal to record transactions:

Jan. 3

Debit Inventory $196,000

Credit Accounts Payable $196,000

To record the purchase of 1,750 units at $112 each

Jan. 8

Debit Inventory $216,450

Credit Accounts Payable $216,450

To record the purchase of 1,850 units at $117 each

Jan. 12

Debit Inventory $237,900

Credit Accounts Payable $237,900

To record the purchase of 1,950 units at $122 each

Jan. 15

Debit Accounts Payable $23,790

Credit Inventory $23,790

To record the return of 195 units at $122 each.

Jan. 19

Debit Accounts Receivable $855,000

Credit Sales Revenue $855,000

To record the sale of 5,700 units on account.

Debit Cost of Goods Sold $657,870

Credit Inventory $657,870

To record the cost of sales of 5700 units.

Jan. 22

Debit Cash Account $837,000

Credit Accounts Receivable $837,000

To record cash receipt from customers.

Jan. 24

Debit Accounts Payable $620,000

Credit Cash Account $620,000

Jan. 27

Debit Allowance for Uncollectible Accounts $2,800

Credit Accounts Receivable $2,800

To record the write-off of uncollectible.

Jan. 31

Debit Salaries & Wages Expense $138,000

Credit Cash Account $138,000

To record the payment of cash for salaries

2. Adjusting Entries on January 31, 2021:

Debit Loss on Inventory $3,190

Credit Inventory $3,190

To record the loss in value.

Debit Allowance for Uncollectible Accounts $2,065

Credit Accounts Receivable $2,065

To record the write-off of uncollectible.

Debit Uncollectible Expense $3,722

Credit Allowance for Uncollectible Accounts $3,722

To bring the allowance for uncollectible accounts to $2,957.

Debit Interest on Notes Payable $245

Credit Interest Payable $245

To record accrued interest for the month

3. Adjusted Trial Balance at January 31, 2021:

                                                  Debit           Credit

Cash                                       $104,700

Accounts Receivable                59,135

Allowance for Uncollectible Accounts          2,957

Beginning Inventory                                    49,000

Ending Inventory                       14,500

Land                                           90,100

Salaries                                    138,000

Loss on Inventory                       3,190

Uncollectible Expense               3,722

Interest on Notes Payable           245

Cost of Goods Sold               657,870

Sales Revenue                                          855,000

Accounts Payable                                       32,260

Notes Payable (6%, due in 3 years)          49,000

Interest on Notes Payable                              245

Common Stock                                          75,000

Retained Earnings                                     57,000

Totals                                 $1,071,462 $1,071,462

Balance Sheet at January 31, 2021:

Assets:

Cash                            $104,700

Accounts Receivable      59,135

Less uncollectible allw.  -2,957

Inventory                         14,500

Land                                90,100

Total  $265,478

Liabilities:

Accounts Payable                             32,260

Notes Payable (6%, due in 3 years) 49,000

Interest on Notes Payable                      245       $81,505

Common Stock                                   75,000

Retained Earnings                             108,973     $183,973

Total $265,478

Explanation:

a)  Unadjusted Trial Balance at January 1, 2021:

                                                  Debit           Credit

Cash                                       $ 25,700

Accounts Receivable                46,000

Allowance for Uncollectible Accounts          4,100

Inventory                                   49,000

Land                                           90,100

Accounts Payable                                       25,700

Notes Payable (6%, due in 3 years)          49,000

Common Stock                                          75,000

Retained Earnings                                     57,000

Totals                                 $ 210,800 $ 210,800

b) Accounts Receivable

Beginning balance     $46,000

Credit Sales             $855,000

less write-off                  -2800

less write-off                 -2,065

less cash receipts  -$837,000

Ending balance          $59,135

c) Estimated uncollectible allowance = $2,957 (5% of accounts receivable balance, i.e $59,135)

d) Uncollectible Expense:

Ending balance       $2957

Plus write-off            2,800

plus write-off            2,065

Beginning balance  -4,100

Uncollectible expense   3,722

e) Cash Account balance:

Beginning balance        $25,700

Cash from customers $837,000

Payment to suppliers-$620,000

Salaries                       -$138,000

Ending balance           $104,700

f) Accounts Payable

Beginning balance    $25,700

Inventory:

     1,750 units for     $196,000

     1,850 units for     $216,450

     1,950 units for    $237,900

      195 units return -$23,790

less payment         -$620,000

Ending Balance        $32,260

g) Income Statement:

Sales                     $855,000

less cost of sales   -657,870

Gross Income         $197,130

Salaries                  -138,000

Loss on Inventory     -3,190

Uncollectible Exp     -3,722

Interest on Note         -245

Net Income           $51,973

Retained Earning  57,000

Ending R/Earnings$108,973

Cost of Goods Sold, using FIFO:

490 units at $100 each       $49,000

1,750 units at $112 each    $196,000

1,850 units at $117 each    $216,450

1,610 units at $122 each   $196,420

7,500 units sold                $657,870

5 0
3 years ago
The common stock of Detroit Engines has a beta of 1.34 and a standard deviation of 11.4 percent. The market rate of return is 11
stealth61 [152]

Answer:

The firm's cost of equity is C. 14.05 percent

Explanation:

Hi, we need to use the following formula in order to find the cost of equity of this firm.

r(e)=rf+beta(rm-rf)

Where:

r(e) = Cost of equity

rf = risk free rate

rm = Market rate of return

Everything should look like this.

r(e)=0.04+1.34(0.115-0.04)=0.1405

So, this firm´s cost of equity is 14.05%

Best of luck

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Individuals and business organizations that buy finished goods and resell them to make a profit without changing the physical ch
marysya [2.9K]

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Re sellers can constrain their acquisitions to one product or company or offer a variety of brands and products.

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If a customer credit score is within 2 points of the minimum of what the business will accept, should the business extend credit
Eduardwww [97]

Answer:

Explanation:

I wouldn't.

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