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Hitman42 [59]
2 years ago
12

Current Attempt in Progress The following information is available for Zoe’s Activewear Inc. for three recent fiscal years. 2022

2021 2020 Inventory $553,000 $568,000 $332,000 Net sales 1,948,000 1,725,000 1,311,000 Cost of goods sold 1,552,000 1,288,000 947,000 (a) Calculate the inventory turnover, days in inventory, and gross profit rate for 2022 and 2021. (Round inventory turnover to 1 decimal place, e.g. 5.2, days in inventory to 0 decimal places, e.g. 125 and gross profit rate to 1 decimal place, e.g. 5.2%.) 2022 2021 Inventory Turnover enter an inventory turnover times enter an inventory turnover times Days in Inventory enter a number of days days enter a number of days days Gross Profit Rate enter percentages % enter percentages % eTextbook and Media
Business
1 answer:
IRINA_888 [86]2 years ago
5 0

Answer:

<u>2022:</u>

TO 3.48

Days outstanding: 105

Gross Profit rate: 20.33%

<u>2021:</u>

TO 3.83

Days Outstanding 95

Gross profit rate: 25.33%

Explanation:

2022

\frac{Sales}{Average Inventory} = $Inventory Turnover

​where:

$$Average Inventory=(Beginning Inventory + Ending Inventory)/2

Sales for 2022:           $  1,948,000

Average Inventory:  (553,000 +586,000)/2 =560,500

\frac{1948000}{560500} = $Inventory Turnover

<u>Inventory TO 3.475468332</u>

\frac{365}{Inventory TO} = $Days on Inventory

\frac{365}{3.47546833184657} = $Days on Inventory

<u>Days on Inventory 105</u>

<u>Gross Profit Rates:</u>

\frac{Gross \: Profit}{sales} \times100

(1,948,000 - 1552,000)/1,948,000 x 100 = 20.33%

2021:

Sales 1725000

Average Inventory (332,000 + 568,000)/2 = 450,000

\frac{1725000}{450000} = $Inventory Turnover

<u>Inventory TO 3.833333333</u>

\frac{365}{3.83333333333333} = $Days on Inventory

Days on Inventory 95

<u>Gross Profit Rates:</u>

\frac{Gross \: Profit}{sales}\times 100

(1,725,000 - 1,288,000)/1,725,000 =<u> 25.33%</u>

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An appliance dealer must decide how many (if any) new microwave ovens to order for next month. The ovens cost $220 and sell for
Vlada [557]

Answer:

Explanation:

Order 0: we have unsold items for which the return is -25

return is -25*(.4*1+.2*2+.1*3) = -25*1.1 = $-27.50

Order 1: we have to sell at a discount if no orders, otherwise sell 1, and unsold items if demand 2 or 3

return is .3*(1/2*300-220) + (1-.3)*(300-220) + -.25*(.2*1+.1*2) = .3*-70+.7*80+-25*(.4) =

-21 + 56 - 10 = $25

Order 2: we have to sell at a discount if 0 or 1 orders, sell 1 or 2, and unsold items if demand 3

return is (.3*2+.4*1)*(1/2*300-220)+(.4*1+(.2+.1)*2)*(300-220)+-25*.1 =1*-70+1*80-25*.1 =

-70 + 80 - 2.5 = $7.50

Order 3:

return is (.3*3+.4*2+.2*1)*(1/2*300-220)+(.4*1+.2*2+.1*3)*(300-220) = 1.9*-70 + 1.1*80 =

-133 + 88 = -$45

Order 1, with a return of $25, as this is the highest return.

b) If we had a perfect information, we would never pay a penalty for underordering or suffer a discounted return from over-ordering

(.4*1+.2*2+.1*3)*(300-220) = 1.1*80 = $88

Then, the value of perfect information is $88 - $25 = $63

c) P(D=0|F) = P(F|D=0)*P(D=0)/(P(F|D=0)*P(D=0)+P(F|D=1)*P(D=1)+P(F|D=2)*P(D=2)+P(F|D=3)*P(D=3))=

.1*.3/(.1*.3+.2*.4+.3*.2+.9*.1)=.03/.26 = 3/26

P(D=1|F) = P(F|D=1)*P(D=1)/(P(F|D=0)*P(D=0)+P(F|D=1)*P(D=1)+P(F|D=2)*P(D=2)+P(F|D=3)*P(D=3))=

.2.4/(.1*.3+.2*.4+.3*.2+.9*.1)=.08/.26 = 4/13

P(D=2|F) = P(F|D=2)*P(D=2)/(P(F|D=0)*P(D=0)+P(F|D=1)*P(D=1)+P(F|D=2)*P(D=2)+P(F|D=3)*P(D=3))=

.3*.2/(.1*.3+.2*.4+.3*.2+.9*.1)=.06/.26 = 3/13

P(D=3|F) = P(F|D=3)*P(D=3)/(P(F|D=0)*P(D=0)+P(F|D=1)*P(D=1)+P(F|D=2)*P(D=2)+P(F|D=3)*P(D=3))=

.9*.1/(.1*.3+.2*.4+.3*.2+.9*.1)=.09/.26 = 9/26

P(D=0|U) = P(U|D=0)*P(0)/(P(U|D=0)*P(D=0)+P(U|D=1)*P(D=1)+P(U|D=2)*P(D=2)+P(U|D=3)*P(D=3))=

.8*.3/(.8*.3+.3*.4+.1*.2+.1*.1)=.24/.39 = 8/13

P(D=1|U) = P(U|D=1)*P(1)/(P(U|D=0)*P(D=0)+P(U|D=1)*P(D=1)+P(U|D=2)*P(D=2)+P(U|D=3)*P(D=3))=

.3*.4/(.8*.3+.3*.4+.1*.2+.1*.1)=.12/.39 = 4/13

P(D=2|U) = P(U|D=`)*P(`)/(P(U|D=0)*P(D=0)+P(U|D=1)*P(D=1)+P(U|D=2)*P(D=2)+P(U|D=3)*P(D=3))=

.1*.2/(.8*.3+.3*.4+.1*.2+.1*.1)=.02/.39 = 2/39

P(D=3|U) = P(U|D=3)*P(3)/(P(U|D=0)*P(D=0)+P(U|D=1)*P(D=1)+P(U|D=2)*P(D=2)+P(U|D=3)*P(D=3))=

.1*.1/(.8*.3+.3*.4+.1*.2+.1*.1)=.01/.39 = 1/39

P(N|D=0 = 1-.1-.8 = .1

P(N|D=1) = 1 - .2 - .3 = .5

P(N|D=2) = 1 - .3 - .1 = .6

P(N|D=3) = 1 - .9 - .1 = 0

P(D=0|N) = P(N|D=0)*P(D=0)/(P(N|D=0)*P(D=0)+P(N|D=1)*P(D=1)+P(N|D=2)*P(D=2)+P(N|D=3)*P(D=3))=.1*.3/(.1*.3+.5*.4+.6*.2+.0*.1)= .03/.35 = 3/35

P(D=1|N) = P(N|D=1)*P(D=0)/(P(N|D=0)*P(D=0)+P(N|D=1)*P(D=1)+P(N|D=2)*P(D=2)+P(N|D=3)*P(D=3))= .5*.4/(.1*.3+.5*.4+.6*.2+.0*.1)= .20/.35 = 4/7

P(D=2|N) = P(N|D=2)*P(D=2)/(P(N|D=0)*P(D=0)+P(N|D=1)*P(D=1)+P(N|D=2)*P(D=2)+P(N|D=3)*P(D=3))= .6*.2/(.1*.3+.5*.4+.6*.2+.0*.1)= .12/.35 = 12/35

P(D=3|N) = 0

If the result of the survey is an F, we have

P(D=0|F) = 3/26

P(D=1|F) = 4/13

P(D=2|F) = 3/13

P(D=3|F) = 9/26

If the order is 0, the return is -25*(1*4/13+2*3/13+3*9/26) = -25*47/26 = -1175/26 = -$45.19

If the order is 1, the return is 3/26*-70+(1-3/26)*80+-25*(1*3/13+2*9/26) = 515/13 = $39.62

If the order is 2, the return is (3/26*2+4/13)*-70+(1*4/13+2*(3/13+9/26))*80 + -25*9/26 =

1835/26 = $70.58

If the order is 3, the return is (3/26*3+4/13*2+3/13)*-70+(1*4/13+2*3/13+3*9/26)*80 =

795/13 = $61.15

We should order 2.

P(D=0|U) = 8/13

P(D=1|U) = 4/13

P(D=2|U) = 2/39

P(D=3|U) = 1/39

If we order 0, the return is (4/13*1+2/39*2+1/39*3)*-25 = -475/39 = -$12.18

If the order is 1, the return is 8/13*-70+(1-8/13)*80+-25*(1*2/39+2*1/39) =-580/39= -14.87

If the order is 2, the return is (8/13*2+4/13)*-70+(1*4/13+2*(2/39+1/39))*80 + -25*1/39 =

-2785/39= -$71.41

If the order is 3, the return is (8/13*3+4/13*2+2/39*1)*-70+(1*4/13+2*2/39+3*1/39)*80 =

-1780/13 = -$136.92

Order 0

P(D=0|N) = 3/35

P(D=1|N) = 4/7

P(D=2|N) = 12/35

P(D=3|N) = 0

If we order 0, the return is (4/7*1+12/35*2)*-25 = -220/7 = -$31.43

If the order is 1, the return is 3/35*-70+(1-3/35)*80+-25*(1*12/35) = 410/7 = $58.57

If the order is 2, the return is (3/35*2+4/7)*-70+(1*4/7+2*12/35)*80 = 340/7 = $48.57

We don't order 3, as the probability of 3 is 0

we order 1

We order 2 if there is an F, 0 if there is an N, and 1 if there is a U.

d) P(F) = .26

P(N) = .39

P(U) = .35

Then, the expected return is .26*1835/26 +-475/39*.39 + 410/7*.35 = $34.10

Since we make $25 if we just take 1, we should pay up to $34.10-$25 = $9.10 for the survey.

5 0
2 years ago
On December 31 of the current year, Plunkett Company reported an ending inventory balance of $219,000. The following additional
Alexxx [7]

Answer:

The ending inventory balance is $158,400

Explanation:

The computation of the amount that Plunkett should report in ending inventory  is shown below:

= Ending balance - goods purchased under FOB destination - goods held on consignment

= $219,000 - $44,800 - $15,800

= $158,400

hence, the ending inventory balance is $158,400

we simply applied the above formula so that the correct value could come

6 0
2 years ago
Brad proposed the purchase of a new Toshiba copier to his boss, Chin. Chin said that he has always used and liked Xerox copiers,
11111nata11111 [884]
Answer: accommodating
6 0
2 years ago
When the local grocery store puts cereal on sale, reducing its price from $4.40 per item to $3.40 per item, the quantity sold in
Butoxors [25]

Answer:

1. Price elasticity of demand

2 & 3. 4.55%

4 & 5. 22.73%

6. 0.2

8. 15.79%

9. 0.56  

Explanation:

Given that,

Initial quantity demanded = 220

New quantity demanded = 230

Initial price = $4.40

New price = $3.40

1. This illustrates the price elasticity of demand.  Price elasticity of demand is defined as the responsiveness of quantity demanded to any change in the price of the commodity.

2 & 3. Percentage change in quantity demanded:

= [(New quantity demanded - Initial quantity demanded) ÷ Initial quantity demanded] × 100

= [(230 - 220) ÷ 220] × 100

= 0.04545 × 100

= 4.55%

4 & 5. Percentage change in price:

= [(New price - Initial price) ÷ Initial price] × 100

= [($3.40 - $4.40) ÷ $4.40] × 100

= 0.2273 × 100

= 22.73%

6. Price elasticity of demand for cereal:

= Percentage change in quantity demanded ÷ Percentage change in price

= 4.55 ÷ 22.73

= 0.2

7. The price elasticity of demand is comes out to be 0.2 which is less than 1, indicates that quantity demanded is less responsive to changes in the price level.

8 & 9. Given that,

Initial quantity demanded = 210

New quantity demanded = 230

Initial price = $4.10

New price = $3.50

Using the mid point method,

Average price:

= (Initial price + New price ) ÷ 2

= ($4.10 + $3.50 ) ÷ 2

= $3.8

Percentage change in price:

= (New price - Initial price) ÷ Average price

= ($3.50 - $4.10) ÷ $3.8

= 0.1579 or 15.79%

Average quantity demanded:

= (Initial quantity demanded + New quantity demanded ) ÷ 2

= (210 + 230) ÷ 2

= 220

Percentage change in quantity demanded:

= (New quantity demanded - Initial quantity demanded) ÷ Average quantity demanded

= (230 - 210) ÷ 220

= 0.0909 or 9.09%

Price elasticity of demand:

= Percentage change in quantity demanded ÷ Percentage change in price

= 9.09 ÷ 15.79

= 0.56

7 0
2 years ago
Provide an argument of why an organization should design and implement a Benefits Plan that complements its overall corporate vi
Katyanochek1 [597]

Explanation:

A corporate benefits plan is used as a relevant tool for the company to prepare for business and organize itself more strategically in the market.

For example, an employee benefit plan can offer several additional advantages that justify the company's mission and values ​​of exercising corporate governance that prioritize the well-being of its employees. By offering advantages such as a health plan, the company consequently increases the incentive to work, motivates employees and becomes an attractive strategy for attracting good professionals in the market.

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