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iris [78.8K]
3 years ago
10

1. In a certain company, 30 percent of the men and 20 percent of the women attend night school. If 40

Mathematics
1 answer:
vodka [1.7K]3 years ago
8 0

Answer: 24% of all employees attend night school.

Step-by-step explanation: If 40% of all employees are men and 30% of the men attend night school, we can multiply 0.40 by 0.30 to get the percentage of men who attend night school: 12% or 0.12. To find the number of women who attend night school, multiply 0.20 by 0.60(assuming percentage of men and women add up to 100%) to get 12%. Add 12% and 12% to get 24% of all employees attend night school.


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19. The cost function of a product is C(Q) = 3Q² +8 and the demand function of the same product is P =1/3 Q² — 10Q + 105, where
Kamila [148]

The marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.

<h3>What is a marginal cost?</h3>

It is defined as the cost showing an increase in the cost when the number of units produced increases, In simple words it is the ratio of the cost to quantity.

We have a cost function of a product:

C(Q) = 3Q² +8

a) To find the marginal cost to differentiate it with respect to Q and plug

Q = 4:

C'(Q) = 6Q

C'(4) = 6(4) = 24

b) R(Q) = P×Q

\rm R(Q) = (\dfrac{1}{3} Q^2 - 10Q + 105)Q

\rm R(Q) = \dfrac{1}{3} Q^3 - 10Q^2 + 105Q

R'(Q) = Q² - 20Q + 105

Plug Q = 4

R'(Q) = (4)² - 20(4) + 105

R'(Q) = 41

c) Marginal profit:

MP(Q)  = R(Q) - C(Q)

After calculating:

\rm MP(Q)  = \dfrac{1}{3}Q^3-13Q^2+105Q-8

MP'(Q) = Q² - 26Q + 105

Plug Q = 4

MP'(Q) = 16 - 104 + 105 = 17

Similar, we can find the maximum profit.

Thus, the marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.

Learn more about the marginal cost here:

brainly.com/question/7781429

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3 0
1 year ago
6 AM: −5°<br><br> 4 PM: 27°<br><br> What is the change in temperature from 6 AM to 4 PM?
kenny6666 [7]

-5 to 0 is 5 degrees

0 to 27 is 27 degrees

Total change = 5 + 27 = 32 degrees.

7 0
3 years ago
You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep o
Drupady [299]

Answer:

24 m

Step-by-step explanation:

The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.

The lenght of the triangular garden = 16 - 10 = 6 m

Lenght of the height = 8 - 0 = 8 m

Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.

Coordinates of the two vertices = (10, 0) and (16, 8).

distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

(10, 0) = (x_1, y_1)

(16, 8) = (x_2, y_2)

d = \sqrt{(16 - 10)^2 + (8 - 0)^2}

d = \sqrt{(6)^2 + (8)^2}

d = \sqrt{36 + 64} = \sqrt{100}

d = 10

Length of fencing = 6 + 8 + 10 = 24 m

6 0
3 years ago
Ella wants to make a fruit salad for herself and 5 friends.
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2. Since there are 15 cups of fruit salad you would need to divide 15 by the number of friends which would make it 2.5 cups of fruit salad per person
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Answer:

b. No x-intercept y-intercept is (0, -8)

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