Answer:
Step-by-step explanation:
Given that we assume no direct factory overhead costs (i.e., inventory carry costs) and $3 million dollars in combined promotion and sales budget, the Deal product manager wishes to achieve a product contribution margin of 35%.
Sales - variable cost = Fixed cost + profit
Here fixed cost = 3 million dollars
Sales - variable = contribution = 35%
35% should atleast meet the fixed cost
i.e. 35% = 3 million
100% = 8.57 million can be cost
Since fixed cost will not change and remain 3 million these 5,57 million can be given to material and labor costs
So material and labor cost should be limited upto 5.57 million increase.
Using the given formula T = LS
And given the time is 3 minutes (3 x 60 = 180 seconds)and the speed is 4-1/2 inches per second:
180 = L x 4-1/2
Solve for L by dividing both sides by 4-1/2:
L = 180 / 4-1/2
L = 40
The length should be 40 inches.
Answer:
The values of x and y that satisfy the equation are 2 and 2, respectively.
Step-by-step explanation:
Two complex numbers are identical if and only each pair of respective coefficients are identical on both sides. Then, we need to observe the following conditions:
Real component
(1)
Imaginary component
(2)
The solution of this system of equations is 
and 
.
The values of x and y that satisfy the equation are 2 and 2, respectively.
Answer:
C. -31m⁴n - 8m²
Step-by-step explanation:
Given:
(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)
Required:
Determine an expression equivalent to it
Solution:
(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)
Distribute the negative sign to open the parentheses
9mn - 19m⁴n - 8m² - 12m⁴n - 9mn
Combine like terms
9mn - 9mn - 19m⁴n - 12m⁴n - 8m²
-31m⁴n - 8m²
Therefore, -31m⁴n - 8m² is an equivalent expression of (9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)
