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Eddi Din [679]
2 years ago
9

PLSSS HELP THIS IS HARD ANYONE

Mathematics
1 answer:
enyata [817]2 years ago
7 0

Answer:

Step-by-step explanation:

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A manufacturer is planning to sell a new product at the price of 210 dollars per unit and estimates that if x thousand dollars i
sattari [20]

Answer:

Development costs: $2757

Promotion costs: $3155

Step-by-step explanation:

This might seem like a two-variable problem, but in actuality it's not - because the demand function is a sum of two components, each being independent and using only one variable, we can solve for the two separately.

Moreover, the price per unit and cost per unit is constant, so each product yields exactly $80 ($210 - $130).

Let's solve separately.

We need to maximize:

$80 * 160y/(y+4) - 1000y = $12800 * y/(y+4) - $1000*y

$80 * 170x/(x+7) - 1000x = $13600 * x/(x+7) - $1000*x

Let's go:

$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y

we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.

deriv = $51200/(y+4)/(y+4) - $1000

We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.

(y+4)^2 = $51.2

y+4 ~= 7.155417528 (or -y-4 = 7.1554... but it doesn't make sense because negative budget so we don't analyze).

y ~= 3.155417528

lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.

rounding $1000y to the nearest dollar gives us $3155

Let's do the same for x:

$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x

deriv = $95200/(x+7)/(x+7) - $1000

$95200/(x+7)/(x+7) - $1000 = $0

(x+7)^2 = 95.2

(x+7) ~= 9.75704873412

x ~= 2.75704...

rounding $1000x to the nearest dollar yields $2757

3 0
2 years ago
Determine the measure of angle R , rounded to the nearest tenth of a degree
sergejj [24]
The answer is c I think
5 0
3 years ago
The map at the right has an Euler Path in which you can pass through each doorway exactly once. Which 2 rooms must be a starting
bogdanovich [222]

Answer:I think the answer is d

Step-by-step explanation:

5 0
3 years ago
Write an equation of the line that passes through (8,1) and is perpendicular to the line 2y+4x=12.
Olegator [25]

Answer:

Step-by-step explanation:

note:when you do perpendicular lines you must change the slope to the oppisite and reciporcal

2y+4x=12

2y-1/4x=12

1/4x+2y=12

3 0
3 years ago
Please help!!!!
Solnce55 [7]

Answer:

c)  ((6-\sqrt{12} )(6+\sqrt{12} ) = 24

d)    ((3+\sqrt{8} )(3-\sqrt{8} ) = 1

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the binomial expression

          ((6-\sqrt{12} )(6+\sqrt{12} )

Multiply

        ( 36 + 6√12 -6√12 -(√12)²)

    =  ( 36 -12)

   =  24

c)  ((6-\sqrt{12} )(6+\sqrt{12} ) = 24

<u><em>Step(ii):-  </em></u>

Given that the binomial expression

          ((3+\sqrt{8} )(3-\sqrt{8} )

Multiply

 =  9 - 3√8 + 3√8 -(√8)²

=   9 - 8

= 1

d)    ((3+\sqrt{8} )(3-\sqrt{8} ) = 1

8 0
2 years ago
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