MATHEMATICS HIGH SCHOOL

Wheeler Company can produce a product that incurs the following costs per unit: direct materials, $10.30; direct labor, $24.30, and overhead, $16.30. An outside supplier has offered to sell the product to Wheeler for $46.88. If Wheeler buys from the supplier, it will still incur 40% of its overhead cost. Compute the net incremental cost or savings of buying.

Answers

Answer 1

Answer:

Answer:

Incremental cost of buying = $2.50

Step-by-step explanation:

Cost per unit;

Direct materials = $10.30

Direct labor = $24.30

Overhead = $16.30

Total Overhead cost = 10.30 + 24.30 + 16.30

= $50.90

Where the item is purchased,

Total cost = $46.88 + (40% × 16.30)

= $46.88 + $6.52

= $53.40

Cost difference = $53.40 - $50.90

= $2.50

There is an incremental cost of buying. This amounts to $2.50

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A plant for a tea company has bagging machines capable of bagging 1000 bags of tea per minute. If the plant runs 24 hours a day, how many tea bags are produced in one day? The company produces ? Tea bags in one day of operation.

Answers

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Identify the solutions of the system of equations, if any
x+5y=6
6x-10y=12

Answers

$\left \{ {{x+5y=6} \ \ |2\atop {6x-10y=12}} \right. \n\n\n \left \{ {{2x+10y=12} \atop {6x-10y=12}} \right. \n ======== \n\n 8x=24 \ \ \ |:8 \n\n \boxed{x=3} \n\n x+5y=6 \n\n 5y=6-x \n\n y=(6-x)/(5) \n\n y=(6-3)/(5) \n\n \boxed{y=(3)/(5)}$

so assuming x and y remain constant, we can make one of the place holders negative and add the equations together to cancel each other out so

we can cancel out the y terms since 5 is close to 10
(x+5y=6) times 2=2x+10y=12
add this to 6x-10y=12
2x+6x+10y-10y=12+12
8x=24
divide both sides by 8
x=3
subsitute into first equation
x+5y=6
3+5y=6
5y=3
y=3/5
x=3

How many solutions does this system of equations have?2x – 3y = –6
2x – 3y = 9

A no solutions
B one solution
C two solutions
D infinitely many solutions

Answers

no solutions

if you substitute the equations into each other the x's and y's will cancel each other out and you will be left with 9=-6 which isn't true

Final answer:

the correct answer is option A: no solutions.The system of equations has no solutions.

Explanation:

To determine the number of solutions in a system of equations, we need to look at the slopes and y-intercepts of the two equations.

Let's rearrange the equations to the form y = mx + b, where m is the slope and b is the y-intercept.

For the first equation, we have y = (2/3)x + 2. For the second equation, we have y = (2/3)x - 3. Since the slopes of the two equations are the same, but the y-intercepts are different, the system has no solutions.

Therefore, the correct answer is option A: no solutions.