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kompoz [17]
3 years ago
14

A fast-food restaurant buys hamburger buns from a national bakery supplier. The daily usage of buns at the restaurant is normall

y distributed with an average of 160 and standard deviation of 10. It takes 4 days for the supplier to deliver. The purchasing agent at the restaurant has established a 99.7% service level.
a) The Safety Stock and Reorder Point for the restaurant (in whole numbers). A fast-food restaurant buys hamburger buns from a local bakery. To estimate its costs, the restaurant assumes now those buns are used at the constant rate of 100 per day and are purchased at $0.025 per bun. It costs $1 for each order placed and the annual inventory holding cost per unit is 25% of the unit purchase cost.
b) How much should be ordered each time to minimize the restaurant’s total annual costs?c) And what is the length of order cycles (i.e. time between orders) in days? Assume the restaurant operates 360 days per year.
Business
1 answer:
tekilochka [14]3 years ago
7 0

Answer:

Thus, from the calculations below;

The safety stock = 55

The reorder point = 695

quantity required to be ordered in order to reduce and minimize total annual cost for the restaurant = 3394 buns

The order cycles length = 34 days

Explanation:

From the given information:

The average demand (d) = 160

The standard deviatiion \sigma_d = 10

Lead time = 4 days

Service level = 99.7% = 0.997

From the Standard Normal Curve; the z value at 99.7% = 2.75

The annual demand (D) = 36000

Ordering cost = $1

Unit purchased Cost = $0.025

The holding cost for the annual inventory = 25% of 0.025 = 0.00625

The reorder point can be determined by using the formula:

= \bar d \times Lead \ time +z\times \sigma_d \times \sqrt{LT}

\mathbf{ = 160\ \times4+2.75 \times10 \times\sqrt{4}}

= 695

The safety stock SS = z \times \sigma_d \times \sqrt{LT}

= 2.75 \times 10 \times \sqrt{4}

= 55

The economic order quality = \sqrt{2 \times D \times \dfrac{ordering \ cost }{annua l\  holding \  cost}}

= \sqrt{2 \times 36000 \times \dfrac{1 }{0.00625}}

=3394.11

The order cycle length = \dfrac{EOQ}{D}\times 360

= \dfrac{3394.11}{36000}\times 360

= 33.94

≅ 34 days

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The following trial balance was taken from the books of Sheridan Corporation on December 31, 2020.
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a. Adjusting Journal Entries on December 31, 2020:

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Credit Prepaid Insurance $2,000

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b. Debit Bad Debts Expense $2,680

Credit Accounts Receivable $2,680

To record bad debts written off.

c. Debit Depreciation Expense - Equipment $12,260

Credit Accumulated Depreciation - Equipment $12,260

To record the depreciation expense for the year.

d. Debit Interest Receivable $672

Credit Interest Revenue $672

To record interest revenue receivable on the note.

e. Debit Rent Prepaid $5,400

Credit Rent Expense $5,400

To record rent prepaid, previously recorded as an expense.

f. Debit Salaries and Wages Expense $5,800

Credit Salaries Payable $5,800

To record accrued salaries.

b. Closing Journal Entries on December 31, 2020:

Debit Sales Revenue $268,000

Interest Revenue $672

Credit Income Summary $268,672

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Debit Income Summary $202,040

Credit:

Cost of Goods Sold                 123,900

Salaries and Wages Expense  54,400

Rent Expense                             6,800

Bad debts Expense                   2,680

Insurance Expense                   2,000

Depreciation Expense             12,260

To close the expense accounts to the income summary.

Explanation:

a) Data and Calculations:

Sheridan Corporation

Unadjusted Trial Balance as of December 31, 2020:

Account Titles                               Debit     Credit

Cash                                             $8,500

Accounts Receivable                   40,700

Notes Receivable                          11,200

Allowance for Doubtful Accounts               $1,870

Inventory                                     35,300

Prepaid Insurance                         4,720

Equipment                                 122,600

Accumulated Depreciation--Equip.             14,100

Accounts Payable                                        10,100

Common Stock                                           49,100

Retained Earnings                                     64,550

Sales Revenue                                        268,000

Cost of Goods Sold                 123,900

Salaries and Wages Expense  48,600

Rent Expense                           12,200

Totals                                   $407,720 $407,720

Adjustments:

a. Insurance Expense $2,000 Prepaid Insurance $2,000

b. Bad Debts Expense $2,680 Accounts Receivable $2,680 (1% of $268,000)

c. Depreciation Expense - Equipment $12,260 Accumulated Depreciation - Equipment $12,260 (10% of $122,600)

d. Interest Receivable $672 Interest Revenue $672 (6% of $11,200)

e. Rent Prepaid $5,400 Rent Expense $5,400

f. Salaries and Wages Expense $5,800 Salaries Payable $5,800

Sheridan Corporation

Adjusted Trial Balance as of December 31, 2020:

Account Titles                               Debit     Credit

Cash                                             $8,500

Accounts Receivable                   38,020

Notes Receivable                          11,200

Interest Receivable                           672

Allowance for Doubtful Accounts               $1,870

Inventory                                     35,300

Prepaid Insurance                         2,720

Prepaid Rent                                 5,400

Equipment                                 122,600

Accumulated Depreciation--Equip.           26,360

Accounts Payable                                        10,100

Salaries Payable                                           5,800

Common Stock                                           49,100

Retained Earnings                                     64,550

Sales Revenue                                        268,000

Interest Revenue                                            672

Cost of Goods Sold                 123,900

Salaries and Wages Expense  54,400

Rent Expense                             6,800

Bad debts Expense                   2,680

Insurance Expense                   2,000

Depreciation Expense            12,260

Totals                                   $426,452 $426,452

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