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olga_2 [115]
3 years ago
6

Delta Company produces a single product. The cost of producing and selling a single unit of this product at the company's normal

activity level of 88,800 units per year is: Direct materials $ 1.50 Direct labor $ 3.00 Variable manufacturing overhead $ 0.50 Fixed manufacturing overhead $ 4.45 Variable selling and administrative expenses $ 1.30 Fixed selling and administrative expenses $ 2.00 The normal selling price is $21.00 per unit. The company's capacity is 112,800 units per year. An order has been received from a mail-order house for 2,000 units at a special price of $18.00 per unit. This order would not affect regular sales or the company's total fixed costs
Mathematics
1 answer:
Mariana [72]3 years ago
3 0

Answer:

The company should accept the special offer because it increases income by $23,400.

Step-by-step explanation:

Giving the following information:

Variable costs:

Direct materials $1.50

Direct labor $3.00

Variable manufacturing overhead $0.50

Variable selling and administrative expenses $1.30

Total variable cost= $6.3

An order has been received from a mail-order house for 2,000 units at a special price of $18.00 per unit.

<u>Because it is a special offer and there is unused capacity, we will not take into account the fixed costs:</u>

Effect on income= number of units*unitary contribution margin

Effect on income= 2,000* (18 - 6.3)

Effect on income= $23,400 increase

The company should accept the special offer because it increases income by $23,400.

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Graph the system &amp; write its solution <br> 2x+y=-4<br> Y=-1/2x-1
xz_007 [3.2K]

Answer:

The solution of system of equation is (-2,0)

Step-by-step explanation:

Given system of equation are

Equation 1 :      2x+y=(-4)

Equation 2 :      y+\frac{1}{2}x=(-1)

To plot the equation of line, we need at least two points

For Equation 1 : 2x+y=(-4)

Let x=0

2x+y=(-4)

2(0)+y=(-4)

y=(-4)

Let x=1

2x+y=(-4)

2(1)+y=(-4)

y=(-6)

Therefore,

The required points for equation is (0,-4) and (1,-6)

For Equation 2 : y+\frac{1}{2}x=(-1)

Let x=0

y+\frac{1}{2}x=(-1)

y+\frac{1}{2}(0)=(-1)

y=(-1)

Let x=2

y+\frac{1}{2}x=(-1)

y+\frac{1}{2}(2)=(-1)

y=(-2)

The required points for equation is (0,-1) and (2,-2)

Now, plot the graph using this points

From the graph,

The red line is equation 1 and blue line is equation 2

Since. The point of intersection is solution of system of equations

The solution of system of equation is (-2,0)

6 0
3 years ago
The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm.
Nat2105 [25]

Answer:

A) Maximum error = 170.32 cm³

B)Relative error = 0.0575

Step-by-step explanation:

A) Formula for circumference is: C = 2πr

Differentiating with respect to r, we have;

dC/dr = 2π

r is small, so we can write;

ΔC/Δr = 2π

So, Δr = ΔC/2π

We are told that ΔC = 0.5.

Thus; Δr = 0.5/2π = 0.25/π

Now, formula for Volume of a sphere is;

V(r) = (4/3)πr³

Differentiating with respect to r, we have;

dV/dr = 4πr²

Again, r is small, so we can write;

ΔS/Δr = 4πr²

ΔV = 4πr² × Δr

Rewriting, we have;

ΔV = ((2πr)²/π) × Δr

Since C = 2πr, we now have;

ΔV = (C²/π)Δr

ΔV will be maximum when Δr is maximum

Thus, ΔV = (C²/π) × 0.25/π

C = 82 cm

Thus;

ΔV = (82²/π) × 0.25/π

ΔV = 170.32 cm³

B) Formula for relative error = ΔV/V

Relative error = 170.32/((4/3)πr³)

Relative error = 170.32/((4/3)C³/8π³)

Relative errror = 170.32/((4/3)82³/8π³)

Relative error = 170.32/2963.744

Relative error = 0.0575

3 0
3 years ago
Find the magnitude of AB.<br> A(-2, 6), B(1, 10)<br> O A 2<br> OB. ✔️15<br> O C.5<br> OD ✔️2
natita [175]

Answer:

C. 5

Step-by-step explanation:

Use the Distance Formula.

Substitute the values of x1 , y1 , x2 , and y2 .

|AB|² =|(1--2)²+(10-6)²|

|AB|² = |9+16|

|AB| = √ 25

|AB| =5

6 0
3 years ago
There are 130 m&amp;m's in a bag. there are half as many green as red. the number of blue is equal to the number of red and gree
AleksandrR [38]
Let x = red
Let 0.5x = green
Let (x) + (0.5x) = 1.5x = blue
Let 0.5(1.5x) = 0.75x = yellow
Let 0.75x + 4 = brown

(x) + (0.5x) + (1.5x) + (0.75x) + (0.75 + 4) = 130
x + 0.5x+ 1.5x + 0.75x + 0.75 + 4 = 130
4.5x + 4 = 130
4.5x = 126
x = 28

Use this value to calculate the other required numbers.
red = 28
green = 0.5x = 0.5(28) = 14
blue = 1.5x = 1.5(28) = 42
yellow = 0.75x = 0.75(28) = 21
brown = 0.75x + 4 = 0.75(28) + 4 = 25
8 0
3 years ago
HELP ME........................................................................
GaryK [48]
Answer: 17
2^2 is 4
45/9 is 5
Multiply 4•5 to get 20
Subtract 3
8 0
3 years ago
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