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ipn [44]
2 years ago
15

Sheldon and Leonard are partners in a business. Sheldon makes $2 in profits for every $5 that Leonard makes. If Leonard makes $2

0 profit on the first item they sell, how much profit does Sheldon make?
Mathematics
1 answer:
kolezko [41]2 years ago
6 0
Answer: 8. 20 is 4 times more than 5, so all we have to do is multiply 2 x 4 = 8. Would appreciate brainliest!
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Elasticity of Demand The demand function for a certain brand of backpacks is
Trava [24]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- The demand function of a certain brand is given as price P a function of x quantity of goods ( in hundred ) demanded per month. The relation is:

                           P ( x ) = 50 Ln ( 50 / x ).

- The point price elasticity ( E ) of demand is given by:

                           E = \frac{P}{x}*\frac{dP}{dx}  

- Where, dP / dx : is the rate of change of price ( P ) with each hundred unit of good ( x ) is demanded.

- To determine the " dP / dx " by taking the first derivative of the given relation:

                          P ( x ) = 50 Ln ( 50 / x ).

                          d P ( x ) / dx = [ 50*x / 50 ] * [ -1*50 / x^2 ]

                                              = - 50 / x

- Hence the point price elasticity of demand is given by:

                          E = - ( P / x ) * ( 50 / x )

                          E = -50*P / x^2    

- For an inelastic demand, ! E ! is < 1:

                          ! -50*P / x^2 ! < 1

                          50*P / x^2 < 1

                          P < x^2 / 50

- For an unitary demand, ! E ! is =  1:

                          ! -50*P / x^2 !  = 1

                          50*P / x^2 = 1

                          P = x^2 / 50

- For an inelastic demand, ! E ! is > 1:

                          ! -50*P / x^2 ! > 1

                          50*P / x^2 > 1

                          P > x^2 / 50

2)

If the unit price is increased slightly from $50, will the revenue increase or decrease?

- We see from the calculated demand sensitivity d P / dt:

                          d P ( x ) / dx = - 50 / x

- We see that as P increases the from P = $50, the quantity of goods demanded would be:

                          50 = 50 ln(50/x)

                           1 = Ln ( 50 / x )

                           50/x = e

                           x = 50 / e

Then,

                          d P ( x ) / dx = - 50 / ( 50 / e )

                          d P ( x ) / dx = - e

- We see that if price slightly increases from $ 50 then the quantity demanded would decrease by e (hundreds ) goods.

- The decrease in the quantity demanded is higher than the increase in price. The revenue is given by the product of price P ( x ) and x:

                Revenue R ( x ) = P ( x ) * x

                                = 50*x*ln(50/x)

Then the product of price and quantity goods also decreases; hence, revenue decreases.

8 0
3 years ago
Find the y-intercept of the following equation. Simplify your answer.<br> y = -10x -3/7
77julia77 [94]

Answer: (0, -3/7)

Step-by-step explanation:

The Y-intercept would be the value of y when x is at 0, which is when the Y axis is intercepted. -3/7 is the starting position of the function when the the X = 0.

7 0
2 years ago
Find the missing side length. Leave your answer in simplest radical form.
exis [7]

Answer:

4√3

Step-by-step explanation:

For isosoles triangles the legs are congruent

v = u

--------------------

using the pythagorean theorem

(4√6)² = v² + v²

(16 * 6) = 2v²

Divide both sides by 2

16 * 3 = v²

Take the square root of both sides

4√3 = v

6 0
3 years ago
Sales Tax
kicyunya [14]

Answer: $2.40

Step-by-step explanation:

$60.00 x .04 = $2.40

8 0
2 years ago
Read 2 more answers
I will give you ALL of my 50 points if you did this
netineya [11]
If you send me the points I’ll do it in the comments
3 0
3 years ago
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