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a_sh-v [17]
3 years ago
12

Which expression represents the area of the shaded region? (picture below)

Mathematics
1 answer:
Tanya [424]3 years ago
7 0

Answer:

B

Step-by-step explanation:

total area minus white area give you shaded area

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For a certain company, the cost function for producing x items is C(x)=30x+150 and the revenue function for selling x items is R
olga55 [171]

Profit, revenue and cost are related, and can be calculated from one another.

  • The profit function is \mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}
  • The domain of the profit function is x > 0
  • The profit when producing 60 items is 1650
  • The profit when producing 70 items is 1600

The cost function is given as:

\mathbf{C(x) =30x + 150}

The revenue function is given as:

\mathbf{R(x) =-0.5(x -90)^2 + 4050}

<u>(a) Calculate the profit function</u>

This is calculated using:

\mathbf{P(x) = R(x) - C(x)}

So, we have:

\mathbf{P(x) =-0.5(x -90)^2 + 4050 - 30x - 150}

Evaluate like terms

\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}

<u>(b) The domain of the profit function</u>

When profit is 0 or less, then it becomes no profit.

Hence, the domain of the profit function is x > 0

<u>(c) The profit for 60 and 70 items</u>

Substitute 60 and 70 for x in P(x)

\mathbf{P(60) =-0.5(60 -90)^2 - 30 \times 60 + 3900}

\mathbf{P(60) =1650}

The profit when producing 60 items is 1650

\mathbf{P(70) =-0.5(70 -90)^2 - 30 \times 70 + 3900}

\mathbf{P(70) = 1500}

The profit when producing 70 items is 1600

<u>(d) Why producing 10 more units less profit</u>

When a function reaches the optimal value, the value of the function begins to reduce.

This means that, producing 10 more units takes the profit function beyond its maximum point.

Read more about profit, cost and revenue at:

brainly.com/question/11384352

5 0
2 years ago
Help me!!!!!! ASAP!!!
Tanzania [10]

Answer:

Last answer got erased lol

Step-by-step explanation:

divide all numbers by two.

think faster and mby think better too

5 0
3 years ago
1. Miguel tosses a coin three times. which diagram represents the sample space of the three tosses?
DanielleElmas [232]
The only diagram that has the possibility that each coin toss could come up H or T is answer "c."
8 0
3 years ago
Y=f(x)=(-3)^x find f(x) when x=0
chubhunter [2.5K]
This one would be just 1, because any number that had 0 as an exponent would result in 1.
4 0
3 years ago
Read 2 more answers
Margie has a $50 budget to purchase a $45 pair of boots if there is an 8% sales tax rate then how much under budget will Marjori
Lynna [10]
Boots + (Boots * Tax %) < $50 budget

$45 + ($45 * 8%) < $50
45 + (45 * 0.08) < 50
45 + 3.60 < 50
48.60 < 50

Subtract the total boot cost from the total budgeted amount.

= 50 - 48.60
= $1.40 under budget


ANSWER: She will be $1.40 under budget.

Hope this helps! :)
5 0
3 years ago
Read 2 more answers
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