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3 years ago

30 Labour s take 20 days to complete a work. How many labour must be added to complete the same work in 15 days?

Mathematics

1 answer:

Naya [18.7K]3 years ago

5 0

30 labours .... 20 days

x ........................15 days

x=(30×20)/15=2×20=40 labours.

Labours added: 40-30=10

Answer: 10 labours added.

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Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker sys

il63 [147K]

Answer:

a) $P(x)=-0.042x^2+530x-18000$

b) $P'(x)=-0.084x+530$

$P'(4000)=194$

$P'(9500)=-268$

Step-by-step explanation:

We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:

P(x) = R(x) - C(x)

Finding Profit Function (P(x)):

$P(x) = R(x) - C(x)\\P(x) = -0.042x^2+800x-(270x+18000)\\P(x)=-0.042x^2+800x-270x-18000\\P(x)=-0.042x^2+530x-18000$

This is the profit function.

The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.

Remember the power rule for differentiation shown below:

$\frac{d}{dx}(x^n)=nx^{n-1}$

Now, we differentiate the profit function to get the marginal profit function (P'):

$P(x)=-0.042x^2+530x-18000\\P'(x)=2(-0.042)x^1+530x^0-0\\P'(x)=-0.084x+530$

This is the marginal profit function , P'.

We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:

$P'(x)=-0.084x+530\\P'(4000)=-0.084(4000)+530\\P'(4000)=194$

and

$P'(x)=-0.084x+530\\P'(9500)=-0.084(9500)+530\\P'(9500)=-268$

6 0

3 years ago

A variable that is both (1) mutually exclusive, (2) exhaustive, (3) has a rank order AND (4) has equal distance between categori

kodGreya [7K]

Answer:

Interval variables

Step-by-step explanation:

An interval variable which is also refereed to as ordinal variable with the additional property that t has differences in magnitudes of the between two meaningful values

An example of an interval variable is ,when a temperature of 90 degrees and 100 degrees is the same difference as between 90 degrees and 80 degrees.

Interval variables are also said to be mutually exclusive , exhaustive and also having a rank or ranking order.

6 0

3 years ago

Select the correct answer.

Flura [38]

Nsssmsns shshssnsnnsnnsdnd

5 0

3 years ago

Can someone help me with these questions?

Maslowich

4.334, just use your calculator

8 0

2 years ago

Find midpoint of PQ with endpoints P (0,2) and Q (6,-2)

agasfer [191]

Answer:

(3, 0)

Step-by-step explanation:

The easiest way to do this problem is to average the x-coordinates and y-coordinates.

So, (0 + 6) / 2 = 6/2 = 3 = x and (2 - 2)/2 = 0/2 = 0 = y

Therefore, the midpoint is (3,0)

6 0

2 years ago