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vampirchik [111]
2 years ago
12

Can you find the marginal profit of a,b and c?

Mathematics
1 answer:
MakcuM [25]2 years ago
3 0
Keeping in mind that for a cost C(x) and profit P(x) and revenue R(x), the marginal cost, marginal profit and marginal revenue are respectively dC/dx, dP/dx and dR/dx, then

\bf P(x)=0.03x^2-3x+3x^{0.8}-4400
\\\\\\
\stackrel{marginal~profit}{\cfrac{dP}{dx}}=0.06x-3+2.4x^{-0.2}
\\\\\\
\cfrac{dP}{dx}=0.06x-3+2.4\cdot \cfrac{1}{x^{0.2}}\implies \cfrac{dP}{dx}=0.06x-3+2.4\cdot \cfrac{1}{x^{\frac{1}{5}}}
\\\\\\
\cfrac{dP}{dx}=0.06x-3+\cfrac{2.4}{\sqrt[5]{x}}

\bf a)\qquad 
\cfrac{dP}{dx}=0.06(200)-3+ \cfrac{2.4}{\sqrt[5]{200}}
\\\\\\
b)\qquad \cfrac{dP}{dx}=0.06(2000)-3+\cfrac{2.4}{\sqrt[5]{2000}}
\\\\\\
c)\qquad \cfrac{dP}{dx}=0.06(5000)-3+\cfrac{2.4}{\sqrt[5]{5000}}
\\\\\\
d)\qquad \cfrac{dP}{dx}=0.06(10000)-3+\cfrac{2.4}{\sqrt[5]{10000}}
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The price of a t-shirt is 50$. If you buy 4 shirts, you will get 10% discount. How much do
lawyer [7]

Answer:

360

Step-by-step explanation:

50x4=200

200x0.9=180

180x2=360

6 0
3 years ago
Sara worked 24 hours last week. Joan worked for hours less than Sara, and Erin worked half as many hours as Joan. How many hours
Vaselesa [24]
Sara worked 1 day last week
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And Erin worked for 10 hours last week
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2 years ago
Use the formulas for a cylinder:<br> r = 2<br> h = 6<br> SA = ?
IrinaK [193]
SA=2 \pi rh+2\pi r^{2}
SA=2 \pi (2)(6)+2\pi  (2)^{2}
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4 0
3 years ago
How many different ways can the letters of “football” be arranged
makvit [3.9K]
<h3>Answer:   10,080</h3>

Explanation:

There are 8 letters so there are 8! = 8*7*6*5*4*3*2*1 = 40,320 permutations of those letters. However, the letters "O" and "L" show up twice each, so we must divide by 2! = 2*1 = 2 for each instance this happens.

So,

(8!)/(2!*2!) = (40,320)/(2*2) = (40,320)/4 = 10,080

is the number of ways to arrange the letters of "football".

The reason we divide by 2 for each instance of a duplicate letter is because we can't tell the difference between the two "O"s or the two "L"s. If there was a way to distinguish between them, then we wouldnt have to divide by 2.

3 0
2 years ago
What is the value expression 8+24 divided by (2 times 6) - 4
Sphinxa [80]

Answer:

6

Step-by-step explanation:

Given mixed operations there is a particular order that must be followed.

Using the order set out in the acronym PEMDAS

P - Parenthesis ( brackets ), E- Exponents ( powers ), M - Multiplication, D - Division, A- Addition, S - Subtraction

8 + 24 ÷ (2 × 6) - 4

= 8 + 24 ÷ 12 - 4 ← parenthesis

= 8 + 2 - 4 ← division

= 10 - 4 ← addition

= 6 ← subtraction

6 0
2 years ago
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