Nofly corporation sells three different models of a mosquito "zapper." model a12 sells for $52 and has variable costs of $41. model b22 sells for $109 and has variable costs of $75. model c124 sells for $403 and has variable costs of $310. the sales mix of the three models is a12, 58%; b22, 27%; and c124, 15%. if the company has fixed costs of $194,766, how many units of each model must the company sell in order to break even? (round per unit values to 2 decimal palces, e. g. 15.25 and final answers to 0 decimal places, e. g. 5,275.)

For Model A12:

Break even point (units) = 6600 x (58/100) = 3828 units

For Model B22:

Break even point (units) = 6600 x (27/100) = 1728 units

For Model C124:

Break even point (units) = 6600 x (15/100) = 990 units

Step-by-step explanation:

A)

Calculation of total break even unit is given below:

Break Even units = \frac{fixed\ expenses}{contribution\ margin\ per\ unit}

where  contribution per unit is given as

Contribution margin per unit = selling price per unit - various expenses per unit

Therefore,

For Model A12:

Contribution margin per unit = $52 - $41 = $11

For Model B22:

Contribution margin per unit = $109 - $75 = $34

For Model C124:

Contribution margin per unit = $403 - $310 = $93

As, sales mix of given model is given as  58:27:15,

therefore total contribuition per unit is

Total contribution margin per unit = {$11 x (58/100)} + {$34 x (27/100)} + {$93 x (15/100)}

= $6.38 + $9.18 + $13.95

= $29.51

Total  break even units

                                        = 6600 units  

(B)  Break point for each model;

For Model A12:

Break even point (units) = 6600 x (58/100) = 3828 units

For Model B22:

Break even point (units) = 6600 x (27/100) = 1728 units

For Model C124:

Break even point (units) = 6600 x (15/100) = 990 units

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!