Answer:
x
=
2
,
1
Step-by-step explanation:
Let the steaks = X and the salmon = y.
Set up two equations:
15x + 18y = 559.81
19x + 9y = 583.66
Now using the elimination method:
Multiply the second equation by -2, then add the equations together.
(15x+18y=559.81)
−2(19x+9y=583.66)
Becomes:
15x+18y=559.81
−38x−18y=−1167.32
Add these equations to eliminate y:
−23x=−607.51
Divide both sides by -23 to solve for x:
x= -607.51 = -23 = 26.413478
Now you have the cost for a steak.
To solve for the cost of the salmon, replace x with the value in the first equation and solve for y.
15(26.413478) + 18y = 559.91
396.202174 + 18y = 559.81
Subtract 396.202174 from both sides:
18y = 163.607826
Divide both sides by 18:
y = 163.607826 / 18
y = 9.089324
Round both x and Y to the nearest cent:
X (Steaks) =$26.41
Y (Salmon) = $9.09
The answer is D because the first number doesn’t reapeat
Answer:
Net sales is $ 504285.71
Step-by-step explanation:
We have the following:
Let net sales be x.
Net sales - Cost of goods sold = Gross profit
We replace and we are left with:
x - $ 353000 = x * 30%
x - $ 353000 = 0.30 * x
x - 0.30 * x = $ 353000
0.7 * x = $ 353000
x = $ 353000 / 0.7
x = $ 504285.71
Therefore, net sales is $ 504285.71
are the critical points, and judging by the picture alone, you must have
and
. (You might want to verify with the derivative test in case that's expected.)
Then the shaded region has area
I'll leave the details to you.
Now, for part (iv), you're asked to find the minimum of
, which entails first finding the second derivative:
setting equal to 0 and finding the critical point:
This is to say the minimum value of
*occurs when
*, but this is not necessarily the same as saying that
is the actual minimum value.
The minimum value of
is obtained by evaluating the derivative at this critical point:
