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seropon [69]
3 years ago
10

Dawson Company incurred the following costs while producing 200 chairs: Units produced 200 chairs Direct materials $20 per unit

Direct labor 25 per unit Variable manufacturing overhead 4 per unit Total fixed manufacturing overhead 3,000 Variable selling and administrative 5 per unit Fixed selling and administrative 4,000 What is operating income using variable costing if 100 units were sold for $250 each?
Mathematics
1 answer:
zaharov [31]3 years ago
7 0

Answer:

32200 $

Step-by-step explanation:

Dawson company

Direct materials     20

Direct labor            25

Var mfg OH              4

Var s&D OH              5

Total var cost         54 per unit

Selling price          250

Contribution           196

For 200 units contribution = 196*200 =39200

Less: Fixed costs

Mfg OH = 3000

     S&D     4000                                              7000

Operating income                                          32200 $

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The exponential equation for the growth is f(x)=57e^{0.51x} where x is the number of days and the population on 21st march is 2069983.5 of microbes.

Given:

Days                   population

0                                57

1                                 95

5                               700

10                               8525

We have to form exponential equation which shows the growth of microbes.

We know that exponential equation which shows the sum is as under:

f(x)=Pe^{rt} where r is the rate of growth and x is the number of days, months or years depending on how things grows.

In the question when x=0 population is 57.

f(0)=57

Pe^{0}=57

P=57

When x=1, population is 95.

f(1)=95

Pe^{r}=95

57 e^{r}=95

57=95/e^{r}----1

when x=5,population is 700.

f(5)=700

Pe^{5r}=700

57e^{5r}=700

57=700/e^{5r}-----2

Equating 1&2

95/e^{r}=700/e^{5r}

e^{5x} /e^{x} =700/95

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put the value of t=21 in the exponential equation

f(21)=57e^{0.5*21}

=57e^{10.5}

=57*36315.5

=2069983.5

Hence the population on 21st march is 2069983.5.

Learn more about equation at brainly.com/question/2972832

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