The cost function is given as,
Obtain the first derivative as,
Obtain the critical points by equating the first derivative to zero,
Thus, the Cost function has an extrema at point 290.
Apply the second derivative test,
Since the second derivative is positive, the function attains minimum value at the critical point.
Therefore, it is concluded that the cost is minimum at 290.
Substitute the value in the function to obtain the minimum cost,
Thus, the minimum unit cost is $10749 which corresponds to 290 units of cars.
4y-2(32y-5) First you distribute which you will end up with 4y-64y+10 then do 4 subtract 64 = -60y now you end up with -60y+10
Answer:
The measure of the two angles are 27° and 153° respectively
Step-by-step explanation:
Given parameters
Let the first angle be represented by x°
And the second angle which is supplementary to the first be represented by y°
From the question, we have that y measures 126° less than x.
So, y = x - 126°
Two angles are said to be supplementary if the both add up to 180.
In this case, it means that x and y are supplementary if and only if x and y add up to 180.
x + y = 180
Substitute x - 126 for y
x + x - 126 = 180
2x - 126 = 180 --- collect like terms
2x = 180 + 126
2x = 306 ----- multiply both sides by ½
2x * ½ = 306 * ½
x = 153°
Recall that y = x - 126°
Substituton 153 for x
y = 153 - 126
y = 27°
Hence, the measure of the two angles are 27° and 153° respectively
Answer:
This is the in and out box where you can plug in the numbers in the x box into the above equations.
y = 7(6) - 3
y = 39
y = 7(5) - 3
y = 32
y = 7(-9) - 3
y = -66
y = 7(1) - 3
y = 4
y = 7(2) - 3
y = 11
Answer:
x = 6/4 or 1 1/2
Step-by-step explanation:
4x+3=9
Subtract the 3 from both sides
4x+3=9
-3 -3
4x = 6
Divide both sides by 4
x = 6/4 or 1 1/2