Answer:
Step-by-step explanation:
Let
Price of
Hotdogs = x
Sodas = y
Candy bar = z
Smith family
Hotdogs = 3
Sodas = 2
Candy bar = 1
Total cost = $16.50
3x + 2y + z = 16.50
Patterson family
Hotdogs = 4
Sodas = 4
Candy bar = 2
Total = $26
4x + 4y + 2z = 26
Nguyen family
Hotdogs = 2
Sodas = 1
Candy bar = 3
Total cost = $13.75
2x + y + 3z = 13.75
The equations
3x + 2y + z = 16.50 (1)
4x + 4y + 2z = 26 (2)
2x + y + 3z = 13.75 (3)
Multiply (1) by -2
-2(3x + 2y + z = 16.50)
-6x - 4y - 2z = -33
-6x - 4y - 2z = -33 (1a)
4x + 4y + 2z = 26 (2)
Add (1a) and (2)
-6x + 4x = -33 + 26
- 2x = -7
x = -7/-2
= 3.5
x = $3.5
Multiply (3) by -4
-4(2x + y + 3z = 13.75) (3)
-8x - 4y - 12z = -55 (3a)
Add (3a) and (2)
-8x - 4y - 12z = -55 (3a)
4x + 4y + 2z = 26 (2)
-8x + 4x -12z + 2z = -55 + 36
-4x - 10z = -29
Substitute the value of x into
-4x - 10z = -29
-4(3.5) - 10z = -29
-14 - 10z = -29
-10z = -29 + 14
-10z = - 15
z = -15 / - 10
= 1.5
z = $1.5
Substitute values of x and z into (1)
3x + 2y + z = 16.50
3(3.5) + 2y + 1.5 = 16.50
10.5 + 2y + 1.5 = 16.50
12 + 2y = 16.50
2y = 16.50 - 12
2y = 4.50
y = 4.50 / 2
y = $2.25
Answer:
Shifts left by 5
Step-by-step explanation:
When y or f(x) equals x then its a straight line at the origin. if f(x+5) = |x|
f(x) = |x+5|
if you set that equal to zero then x = -5 so shifting to the left would be correct.
Answer:
The cost of goods sold per tie was $22
Step-by-step explanation:
The list of all associated cost in a month on the job 1041 is
- Direct materials - $54,800
- Direct Labour - $19,200
- Selling $ Shipping Costs - $28,000
- Overhead costs - $25 per MH × 320MHs = $8,000
The total cost of production of the ties can then be obtained by adding all associated costs;
$54,800 + $19,200 + $28,000 + $8,000 = $110,000
Total units of ties made from Job 1041 is 5,000
Therefore,
Cost per unit tie = $22
The number is made 1,000 times greater and so the units must be made 1,000 times smaller. The answer is "A" milligrams.
Answer:
A. what is the profit made by the retailer if he sells the article to the customer at the catalogue price?
10000
B.What profit is made by the manufacturer if the catalogue price is 50% above the manufacturing price?
25000
