What is the property of 48z + 36r

Its accounting please help me

Elanso [62]

9514 1404 393

Answer:

1a: $84; 1b: 30,000A +15,000B; 1c: 37,000A +18,500B

2: 4,000 composite units

Step-by-step explanation:

We assume your "composite unit" consists of the smallest set of units in the ratio in which they are sold.

A "composite unit" is 1B +2A. The contribution margins are the difference between the selling price and the variable cost per unit:

A: 72 -40 = 32

B: 48 -28 = 20

composite unit: 2A+B = 2(32) +20 = 84

(a) The contribution margin per composite unit is $84.

__

(b) The break-even point is the number of composite units that have a total contribution margin equal to the total fixed costs:

84n = 1260000

n = 1260000/84 = 15000

30,000 units of A and 15,000 units of B must be sold to break even.

__

(c) The additional number of composite units required to achieve pre-tax income of 294000 is ...

294,000/84 = 3500

37,000 units of A and 18,500 units of B must be sold for a pretax income of $294,000.

__

Contribution margins per unit are ...

H: 6 -4 = 2

C: 8 -6 = 2

I: 10 -7 = 3

A composite unit is 3H +2C +I, so the contribution margin per composite unit is ...

3(2) +2(2) +1(3) = 6 +4 +3 = 13 . . . dollars

The break-even point is 52,000/13 = 4,000 composite units

4 0

3 years ago

Which capital letters in Virginia produce the same letter after being rotated 180 degrees

Westkost [7]

The answer is I and N

3 0

3 years ago

If x-15=30,what is the value of 2(x 5)

Digiron [165]

X - 15 = 30
=> x = 30 + 15 = 45

2(x + 5) = 2(45 + 5) = 2(50) = 100

5 0

3 years ago

1. Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given roots.

mr Goodwill [35]

1. If a polynomial function with rational coefficients has -4 and 8 as roots, it means we can factor this polynomial this way :

(x - (-4))(x-8) = (x+4)(x-8) = x² - 8x + 4x - 32 = x² - 4x - 32

1x² - 4x - 32 is a polynomial function of least degree with rational coefficients that satisifies the given conditions. The leading coefficient here is 1, we call this a monic polynomial.

2. There may be something missing in the question here

3. We can use the factoring techniques to find the roots :

x^3 - 5x² + 9x - 45 let us group x^3 with -5x² and 9x with -45 :

(x^3 - 5x²) + (9x - 45) = x²(x - 5) + 9(x - 5)

We can notice now that there is a common factor : (x-5) this allows us to factor again by (x-5) :

Y = (x-5)(x²+9)

This is the maximum we can do on R, but on C the set of complex we can still factor again.

x² + 9 has a negative discriminant : Δ = b² - 4ac where b = 0 , a = 1, c = 9

Δ < 0, Δ = - 36

Applying the formulas for the roots x1 and x2 we get x1 = -3i, and x2 = + 3i

Y = (x-5)(x-3i)(x+3i)

So the solution is S = {5, 3i, -3i} the three roots of the function.

6 0

2 years ago

1. Write a transformation of y = |x| that moves the graph 10 units up?

Veronika [31]

Answer:

$y=\mid x \mid +10$

Step-by-step explanation:

To move a graph up vertically a certain amount, when you have the vertex form of the graph you can simply add that amount on to the end of the equation, since the y value will always have 10 added to it. Hope this helps!

3 0

3 years ago