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Rudik [331]
1 year ago
5

given the following historical demand, what is the weighted moving average forecast (0.4, 0.3, 0.3) for week 6? week 1 = 3000 we

ek 2 = 5000 week 3 = 7000 week 4 = 9000 week 5 = 11000 week 6 = predict using the weighted moving average forecast (0.4, 0.3, 0.3)
Business
1 answer:
Svetach [21]1 year ago
3 0

Forecast for week 6 = 9200

A weighted moving average emphasizes recent data while downplaying historical data. This is accomplished by increasing the price of each bar by a weighting factor. Weighted Moving Average will track prices more precisely than a related Simple Moving Average due to its special calculation.

In a weighted moving average approach, recent values of demand are given greater weight since they are more pertinent. As a result, we have

Forecast for week 6 = (Week 5 * 0.4) + (Week 4 * 0.3) + (Week 3 * 0.3)

= (11000 * 0.4) + (9000 * 0.3) + (7000 * 0.3) = 9200

Therefore, Forecast for week 6 = 9200

To know more about Weighted Moving Average Demand, refer to this link :

brainly.com/question/17039065?referrer=searchResults

#SPJ4

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aleksley [76]

Answer:

The greatest number of mangoes which are to be taken out at a time from each basket so that both of them emptied simultaneously is the number of mangoes in each basket which is 120 mangoes for one basket and 168 mangoes for the other basket

Explanation:

Given that the number of mangoes in one basket = 120 mangoes

Also, the number of mangoes in another basket = 168 mangoes

The greatest number of mangoes, X and Y that are to taken out from each basket so that both of them will empty simultaneously is found as follows;

We note that the ratio of the number of mangoes in both baskets are;

120:168 = 5:7

Therefore, we have;

5 × Y = 120

Y = 20/5 = 24

Similarly, we have;

7 × X = 168

X = 168/7 = 24

We can take 5 mangoes from one basket and 7 mangoes from the other basket 24 times, for both mangoes to empty the same time

We can also take 5×12 = 60 mangoes twice from one basket and 7 × 12 = 84 mangoes twice from the other basket to empty the baskets

We can also take 120 mangoes one from one basket and 168 mangoes one from the other basket to empty the baskets.

Therefore, the greatest number of mangoes which are to be taken out at a time from each basket so that both of them emptied simultaneously is the number of mangoes in each basket which is 120 mangoes for one basket and 168 mangoes for the other basket.

3 0
3 years ago
ROI, Residual Income, and EVA with Different Bases Envision Company has a target return on capital of 12 percent. The following
lara [203]

Answer:

a. ROI = income / Assets      

                                      Book Value       Current Value    

Software Division              0.175              0.13    

Consulting Division           0.164              0.182    

Venture Capital Division   0.093            0.088

<u>Workings:</u>

i. Book value

Software Division = 12,250/70,000=0.175

Consulting Division = 16,400/100,000=0.164  

Venture Capital Division = 56,730/610,000 =0.093

ii. Current value

Software Division = 11,700/90,000=0.13

Consulting Division = 20,020/110,000=0.182

Venture Capital Division= 51,920/ 590,000=0.088

b. Residual income = Income - {Asset x Return on capital 12% }

                                      Book Value       Current Value    

Software Division              3850              900    

Consulting Division           4400              6820    

Venture Capital Division   -16470           -18880

<u>Workings:</u>

i. Book value

Software Division = 12,250-(70,000*12%)=3850

Consulting Division = 16,400-(100,000*12%)=4400  

Venture Capital Division = 56,730-(610,000*12%) =-16470

ii. Current value

Software Division = 11,700-(90,000*12%)=900

Consulting Division = 20,020-(110,000*12%)=6820

Venture Capital Division= 51,920-(590,000*12%)=-18880

c. Economic Value Added ( EVA ) = Net Income After Tax - ( Amount of Capital x Weighted Average Cost of Capital [WACC] )

C.                     Software Division  

                            (Value Base)  

                                    Book            Current

Sales                           100,000          100,000

Income                          12,250           11,700

Assets                           70,000          90,000

Liabilities                      10,000           10,000

Capital invested           60,000          80,000

(Asset - Liabilities)

Tax on Income(30%)     3675            3510

Income after Tax            8,575           8,190

(Income - Tax on

income) (A)

Capital invested             6,000           8,000

* WACC - 10% ) (B)

EVA (C)=(A)-(B)                2,575            190

                       Consulting Division

                            (Value Base)

                                     Book            Current

Sales                         200,000        200,000

Income                        16,400           20,020

Assets                         100,000        110,000

Liabilities                      14,000         14,000

Capital invested           86,000       96,000

(Asset - Liabilities)

Tax on Income(30%)     4920            6006

Income after Tax           11,480           14,014

(Income - Tax on

income) (A)

Capital invested           8,600            9,600

* WACC - 10% ) (B)

EVA (C)=(A)-(B)              2,880            4,414

                     Venture Capital Division

                           (Value Base)

                                   Book            Current

Sales                        800,000       800,000

Income                      56,730          51,920

Assets                       610,000        590,000

Liabilities                    40,000         40,000

Capital invested        570,000        550,000

(Asset - Liabilities)

Tax on Income(30%)    17019          15576

Income after Tax          39,711         36,344

(Income - Tax on

income) (A)

Capital invested           57,000       55,000

* WACC - 10% ) (B)

EVA (C)=(A)-(B)              -17,289       -18,656

8 0
2 years ago
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