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3 years ago

4 + 2p = 12 so p = what

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

8 0

Answer:

p=4

Step-by-step explanation:

4+2p=12

Step 1: Simplify both sides of the equation.

2p+4=12

Step 2: Subtract 4 from both sides.

2p+4−4=12−4

2p=8

Step 3: Divide both sides by 2.

2p/2=8/2

p=4

Answer:

p=4

MAXImum [283]3 years ago

4 0

Answer:

P = 4

Step-by-step explanation:

4 + 2p = 12

12 - 4 = 8

2p = 8

8 ÷ 2 = 4

P = 4

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QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu

Harman [31]

Answer:

(a)Revenue function, $R(x)=580x-x^2$

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit, $P(x)=-35x^2+280x-900$

(d)x=4

Step-by-step explanation:

Part A

Price Function $= 580 - 10x$

The revenue function

$R(x)=x\cdot (580-10x)\\R(x)=580x-x^2$

The marginal revenue function

$\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x$

Part B

(Fixed Cost)

The total cost function of the company is given by $c=(30+5x)^2$

We expand the expression

$(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2$

Therefore, the fixed cost is 900 .

Marginal Cost Function

If $c=900+300x+25x^2$

Marginal Cost Function, $\frac{dc}{dx}= (900+300x+25x^2)'=300+50x$

Part C

Profit Function

Profit=Revenue -Total cost

$580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900$

Part D

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

$P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4$

The number of cakes that maximizes profit is 4.

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What does it mean to multiply fractions?

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3 years ago

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The surface area of a cube is 96 square feet. Find the volume of the cube.

Tamiku [17]

cube has six identical walls

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pattern on the surface of the cube
A = a²
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3 years ago

What are the zeros of f(x) = x2 - x - 20?

sattari [20]

Answer:

(-4,0) and (5,0)

Step-by-step explanation:

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3 years ago

In his boat, Sheldon can travel 45 mi downstream in the same time that it takes to travel 9 mi upstream. If the rate of the curr

Nataliya [291]

Answer:

9 mph

Step-by-step explanation:

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3 years ago