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3 years ago

11

Learn with an example

1 answer:

lutik1710 [3]3 years ago

8 0

Answer:

No

Step-by-step explanation:

When you plug in the numbers, you get:

9>6+3

9 is equal to 9, not greater than.

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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

3 years ago

Pls answer my last one to Rodney sold 45,612 copies of his book and Beth sold 45,612 x one half copies of her book. Which statem

Elden [556K]

Answer:

its most likely b

hope this helps!

6 0

3 years ago

ANSWER QUICK <br> 13+5 3/4

Vaselesa [24]

Answer:

18.75 or 18 3/4

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Is the center of dilation colinear with the hypotenuses of the right triangles shown?

Novay_Z [31]

Answer:

the answer is b

Step-by-step explanation:

i did the quiz

7 0

3 years ago

Find the missing value so that the two points have a slope of -2.(1,y) and (6,-5)

Aloiza [94]

Answer:

(-5-y)/(6-1)= -2

(-5-y)/(5)= -2

-5-y=-10

-y = -5

y = 5

-

5 0

3 years ago