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timofeeve [1]
3 years ago
7

Fashionables is a franchisee of The UnLimited, the well-known retailer of fashionable clothing. Prior to the winter season, The

UnLimited offers Fashionables the choice of five different colors of a particular sweater design. The sweaters are knit overseas by hand, and because of the lead times involved, Fashionables will need to order its assortment in advance of the selling season. As per the contracting terms offered by The UnLimited, Fashionables will also not be able to cancel, modify or reorder sweaters during the selling season. Demand for each color during the season is normally distributed with a mean of 425 and a standard deviation of 150. Further, you may assume that the demand for each sweater is independent of the demand for any other color.The UnLimited offers the sweaters to Fashionables at the wholesale price of $43 per sweater, and Fashionables plans to sell each sweater at the retail price of $74 per unit. The UnLimited does not accept any returns of unsold inventory. However, Fashionables can sell all of the unsold sweaters at the end of the season at the fire-sale price of $24 each.If a part of the question specifies whether to use Table 13.4, or to use Excel, then credit for a correct answer will depend on using the specified method.a. How many units of each sweater-type should Fashionables order to maximize its expected profit? Use Table 13.4 and round to nearest integer.b. If Fashionables wishes to ensure a 97.5% in-stock probability, what should its order quantity be for each type of sweater? Use Table 13.4 and round to nearest integer.c. Say Fashionables orders 700 of each sweater. What is Fashionables’ expected profit? Use Table 13.4.d. Say Fashionables orders 700 of each sweater. What is the stockout probability for each sweater? Use Excel.
Business
1 answer:
STatiana [176]3 years ago
7 0

Answer:

Check the explanation

Explanation:

Demand Mean , u = 425

Standard deviation, s = 150

Selling price = p = $74

Cost price = c = $43

Salvage value = s = $24

Cost of understocking, Cu = p - c = $26

cost of overstocking , Co = c-s = $25

Critical ratio = Cu / (Cu + Co) = 26 / (26 +25) = 0.5098

Part A) Maximize expected profit

Optimal Order Q = Mean + Z-score * Std. deviation = 450 + 225 * Z-score

Z-score is 0 for P = 0.5000 and Z-score = 0.1 for P = 0.5398. Hence, Z-score = ~ 0.025

Optimal ORder = 450 + 225 * 0.025 = 455.62 or 456 (rounded off)

Part B) Z-score = 1.96 for P =0.975 , 97.5% in-stock probability

Order, Q = 450 + 225 * 1.96 = 891

Part C) Expected profit at 675 units. X = 675

Z-score = (X - Mean) / Std deviation = (675 - 450 ) / 225 = 1.00

for Z = 1 , I(Z) = 1.0833

Expected inventory = I (Z) * Std deviation = 1.0833 * 225 = 243.74

Expected Inventory = Order - Expected sales

Expected sales = Order - Expected inventory = 675 - 243.74 = 431.26

Expected Profit = Expected sales * (P-c) - (c-s)*Expected inventory = 431.25 * 26 - 243.74 * 25 = $5119

p-c = Profit per unit, c-s = loss per unit

Part D) Z-score = 1, X =675

For Z = 1 , p = 0.8413 (this is probability of instock)

Hence stockout probability = 1 - 0.8413 = 0.1587

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On April 2, the company prepaid $9,000 cash for twelve months' rent for office space. b) The balance in Prepaid insurance repres
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Karla Tanner opens a web consulting business called Linkworks and recorded the following transactions in its first month of operations.

Apr. 1 Tanner invests $80,000 cash along with office equipment valued at $26,000 in the company in exchange for common stock.

Apr. 2 The company prepaid $9,000 cash for twelve months’ rent for office space. The company's policy is record prepaid expenses in balance sheet accounts.

Apr. 3 The company made credit purchases for $8,000 in office equipment and $3,600 in office supplies. Payment is due within 10 days.

Apr. 6 The company completed services for a client and immediately received $4,000 cash.

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Apr. 13 The company paid $11,600 cash to settle the account payable created on April 3.

Apr. 19 The company paid $2,400 cash for the premium on a 12-month insurance policy. The company's policy is record prepaid expenses in balance sheet accounts.

Apr. 22 The company received $4,400 cash as partial payment for the work completed on April 9.

Apr. 25 The company completed work for another client for $2,890 on credit.

Apr. 28 The company paid $5,500 cash in dividends.

Apr. 29 The company purchased $600 of additional office supplies on credit.

Apr. 30 The company paid $435 cash for this month’s utility bill.

Journalize, and prepare income statement and balance sheet

Answer:

Apr. 1 Tanner invests $80,000 cash along with office equipment valued at $26,000 in the company in exchange for common stock.

Dr Cash 80,000

    Cr Common stock 80,000

Apr. 2 The company prepaid $9,000 cash for twelve months’ rent for office space. The company's policy is record prepaid expenses in balance sheet accounts.

Dr Prepaid rent 9,000

    Cr Cash 9,000

Apr. 3 The company made credit purchases for $8,000 in office equipment and $3,600 in office supplies. Payment is due within 10 days.

Dr Equipment 8,000

Dr Supplies 3,600

    Cr Accounts payable 11,600

Apr. 6 The company completed services for a client and immediately received $4,000 cash.

Dr Cash 4,000

    Cr Service revenue 4,000

Apr. 9 The company completed a $6,000 project for a client, who must pay within 30 days.

Dr Accounts receivable 6,000

    Cr Service revenue 6,000

Apr. 13 The company paid $11,600 cash to settle the account payable created on April 3.

Dr Accounts payable 11,600

    Cr Cash 11,600

Apr. 19 The company paid $2,400 cash for the premium on a 12-month insurance policy. The company's policy is record prepaid expenses in balance sheet accounts.

Dr Prepaid insurance 2,400

    Cr Cash 2,400

Apr. 22 The company received $4,400 cash as partial payment for the work completed on April 9.

Dr Cash 4,400

    Cr Accounts receivable 4,400

Apr. 25 The company completed work for another client for $2,890 on credit.

Dr Accounts receivable 2,890

    Cr Service revenue 2,890

Apr. 28 The company paid $5,500 cash in dividends.

Dr Dividends 5,500

    Cr Cash 5,500

Apr. 29 The company purchased $600 of additional office supplies on credit.

Dr Supplies 600

    Cr Accounts payable 600

Apr. 30 The company paid $435 cash for this month’s utility bill.

Dr Utilities expense 435

    Cr Cash 435

Adjusting entries:

a) On April 2, the company prepaid $9,000 cash for twelve months' rent for office space.

Dr Rent expense 750

    Cr Prepaid rent 750

b) The balance in Prepaid insurance represents the premium paid for a 12-month insurance policy the policy's coverage began on April 1.

Dr Insurance expense 200

    Cr Prepaid insurance 200

c) Office supplies on hand as of April 30 total $1,200.

Dr Supplies expense 3,000

    Cr Supplies 3,000

d) Straight-line depreciation of office equipment, based on a 5-year life and a $4,000 salvage value, is $500 per month.

Dr Depreciation expense 500

    Cr Accumulated depreciation - equipment 500

e) The company has completed work for a client, but has not yet billed the $1,800 fee.

Dr Accrued income 1,800

    Cr Service revenue 1,800

f) Wages due to employees, but not yet paid, as of April 30 total $2,600.

Dr Wages expense 2,600

    Cr Wages payable 2,600

                 Linkworks

            Income Statement

For the month ended April 30th, 202x

Service revenue             $14,690

Wages expense             ($2,600)

Supplies expense          ($3,000)

Depreciation expense      ($500)

Insurance expense           ($200)

Rent expense                    ($750)

<u>Utilities expense               ($435)</u>

Net income                      $7,205

retained earnings = $7,205 - $5,500 (dividends) = $1,705

                   Linkworks

               Balance Sheet

For the month ended April 30th, 202x

Assets:

Cash $59,465

Accounts receivable $4,490

Accrued income $1,800

Prepaid rent $8,250

Prepaid insurance $2,200

Supplies $1,200

Equipment net $7,500

Total assets: $84,950

Liabilities and stockholders' equity:

Accounts payable $600

Wages payable $2,600

Common stock $80,000

Retained earnings $1,705

Total liabilities and stockholders' equity: $84,905

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