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3 years ago

5

carol spends 17 hours in a 2 week peiod practicing her culinary skills how many hours does she pratice in 5 weeks?

1 answer:

NNADVOKAT [17]3 years ago

7 0

17/2 = 8.5 hours per week

8.5 x 5 = 42.5 hours in 5 weeks

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An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

3 0

2 years ago

*<br> What is the value of x?<br> (x + 35)<br> (3x + 1)<br> x =<br> plzzz help due in 40 mins!

Brilliant_brown [7]

Answer: (x=+17)

Step-by-step explanation:

x+35=3x+1

We move all terms to the left:

x+35-(3x+1)=0

We get rid of parentheses

x-3x-1+35=0

We add all the numbers together, and all the variables

-2x+34=0

We move all terms containing x to the left, all other terms to the right

-2x=-34

x=-34/-2

x=+17

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3 years ago

Marie has 8 hours to write a 45 page chatper for her book Marie writes at a constant speed of 4 pages per hour will Marie comple

zubka84 [21]

Answer:

She wont complete the book in book in time at 4 pages per hour has she will only write 32 pages in 8 hours

Step-by-step explanation:

Marie has 8 hours to write 45 page chapter

at 4 page per hours, in 8 hours, she will on write

8 × 4 = 32 pages

Therefore, she wont complete it in time at 4 pages per hour

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hammer [34]

Answer:

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Step-by-step explanation:

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2 years ago

Please solve 3x = 81

sasho [114]

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Step-by-step explanation:

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3 years ago

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