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Contact [7]
3 years ago
7

A company’s total monthly sales (in millions of dollars) t months from now are given by:

Business
1 answer:
Elina [12.6K]3 years ago
3 0

Answer:

a) \frac{dS}{dt}=S'(t)= 2(0.5) t +3 = t+3

b) S(4) = 0.5*(4^2) +3(4) -5=15 million

c) For this case we have the total sales $ 15 millions after t =4 months

d) S'(4) = 4+3 = 7 million

e) This value represent the increase in the amount of sales in millions after t=4 months

Explanation:

For this case we have the following function for the sales

S(t) = 0.5 t^2 +3t -5

Part a          

For this case we want to find the derivate of S respect to t and we got:

\frac{dS}{dt}=S'(t)= 2(0.5) t +3 = t+3

Part b

For this case we want to find the value of S when t = 4 so if we replace we got:

S(4) = 0.5*(4^2) +3(4) -5=15 million

Part c

For this case we have the total sales $ 15 millions after t =4 months

Part d

For this case we just need to replace t=4 in the derivate and we got:

S'(4) = 4+3 = 7 million

Part e

This value represent the increase in the amount of sales in millions after t=4 months

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Bolding Inc.'s contribution margin ratio is 61% and its fixed monthly expenses are $47,500. Assuming that the fixed monthly expe
Natali5045456 [20]

Answer:

c. $36,070

Explanation:

contribution margin ratio is the ratio of the contribution to sales of an entity for a given period.

contribution margin ratio= contribution/sales

where contribution is the difference between sales and the variable cost

Given;

sales = $137,000

contribution margin ratio = 61% = 0.61

0.61 = contribution/$137,000

contribution = $137,000 × 0.61

= $83,570

Net operating income is the difference between the contribution and the fixed cost.

Fixed cost = $47,500

Net operating income = $83,570 - $47,500

= $36,070

3 0
3 years ago
What is 9 and 5/6 minus 3 and 3/6​
lawyer [7]

Answer:

9\frac{5}{6} - 3\frac{3}{6} = \frac{38}{6}

Explanation:

Since this is an example of mixed whole numbers and fractions, this are mixed fractions.

Since the denominator is the same (6), we are just going to create a proper fraction out of these mixed fractions by multiplying the denominator with the whole number and adding the numerator. Then, the result becomes the new numerator, while the denominator remains the same.

Therefore, we have:

9\frac{5}{6}  = \frac{59}{6}

3\frac{3}{6} = \frac{21}{6}

So when we subtract these two, we get \frac{38}{6}.

7 0
3 years ago
Read 2 more answers
You rent a car for $29.95. The first 150 miles are free, but each mile thereafter costs 15 cents. You plan to drive it 200 miles
kari74 [83]

Answer:

marginal cost is 15 cents

Explanation:

given data

car rent = $29.95

distance d1 = 150 miles

cost = 15 cents per miles

distance d2 = 200 miles

to find out

marginal cost

solution

first we find here cost for driving d2

cost for 150 to 200 miles  = 15 × 50

cost for 150 to 200 miles  = 750 cents = $7.5

so

cost for driving d2  = $7.5 + $29.95

cost for driving d2 = $37.45

so

marginal cost will be

marginal cost = change in cost / chance in distance

marginal cost = 37.45 - 39.95   /   ( 200-150)

marginal cost = 7.5 / 50  = 0.15

marginal cost is 15 cents

5 0
3 years ago
Suppose that XYZ2 shop Company recorded as a purchase certain goods that it purchased account, with the term FOB shipping point
xxMikexx [17]

Answer:

77

Explanation:

76

3 0
3 years ago
Rivera Company manufactured two products, A and B, during April. For purposes of product costing, an overhead rate of $2.00 per
OlgaM077 [116]

Solution :

a). The assigned total cost is :

$A =\$ \ 8000$

$B =\$ \ 24,000$

Total overheads                                 $ 500,000

Total hours                                             250,000

Plantwide overhead rate                        $ 2

Cost assigned to :

A ( 2 x 4 x 1000)                                   $ 8,000

B ( 2 x 4 x 3000)                                  $ 24,000

b).                                                      Department 1         Department 2

Overheads                                       $ 300,000                 $ 200,000

Hours                                                   200,000                       50,000

Overhead rate                                 $ 1.50                           $ 4.00

Overheads for the product A                        $ 8,500

  (1.5 x 3 + 4 x 1) x 1000

Overheads for the product B                        $ 40,500

  (1.5 x 3 + 4 x 1) x 3000

c).                                                          Plant wide          Departmental

material and labor                                  $ 10                        $ 10

overheads                                               $ 8                         $ 13.50

Total                                                         $ 18.00                  $ 23.50

Add: profit                                                $ 7.20                    $ 9.40

Selling price                                             $ 25.20                 $ 32.90

The difference               $ 7.70

Therefore, the increase in the selling price = $ 7.70

3 0
3 years ago
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