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Wewaii [24]
3 years ago
9

A company produces x units of a product per month, where c(x) represents the total cost and r(x) represents the total revenue fo

r the month. The functions are modeled by c(x)=300x+250 and r(x)=-0.5x^2+800x-100.
The profit is the difference between revenue and cost where p(x)=R(x)-C(x).
What is the total profit p(x), for the month?
Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:

The total profit P(x) or the month is P(x)=-0.5x^2+500x-350.

Step-by-step explanation:

A company produces x units of a product per month.

The total cost represents by the function C(x).

C(x)=300x+250

The total revenue represents by the function R(x).

R(x)=-0.5x^2+800x-100

The profit is the difference between revenue and cost.

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

P(x)=-0.5x^2+800x-100-(300x+250)

P(x)=-0.5x^2+800x-100-300x-250

Combine like terms.

P(x)=-0.5x^2+(800x-300x)+(-100-250)

P(x)=-0.5x^2+500x-350

Therefore, the total profit P(x) or the month is P(x)=-0.5x^2+500x-350.

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kodGreya [7K]

I hope I helped you

Step-by-step explanation:

First you solve: 25:5=?

After: the number you find×8=?

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The number -2

7 0
3 years ago
After some snacks at McDonalds at Lower Bonifacio Street, Kristina drove 145 meters towards the three-way junction and turns rig
vaieri [72.5K]

Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}

Christina had to travel 125 m from the three-way junction to the church.

5 0
3 years ago
the ratio of pine trees to elm trees in a park is 7:11. How many pine trees are there in the park if there are 68 more elm trees
Hitman42 [59]

Answer:

<em>The number of </em><em>pine tree is 119</em><em> and the number of </em><em>elm tree is 187.</em>

Step-by-step explanation:

The ratio of pine trees to elm trees in a park is 7:11

Let us assume that the number of pine tree is 7x and the number of elm tree is 11x.

It is also given that, there are 68 more elm trees as compared to the pine trees.

i.e 11x=7x+68

\Rightarrow 11x-7x=68

\Rightarrow 4x=68

\Rightarrow x=17

Hence, the number of pine tree = 7x=7\times 17=119 and the number of elm tree = 11x=11\times 17=187

8 0
3 years ago
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Therefore, the current through the bulb is 29.2mA
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The first five multiples of 8,9,
Svetlanka [38]
First five multiples of 8 are 8, 16, 24, 32, 40
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Hope that helps :)
4 0
3 years ago
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