What is the maximum profit the company can earn? How many snowboards must it produce to earn this
maximum profit?
a. Factor P =
4x2 + 32x + 336 to find the roots.
b. Find the axis of symmetry then use it to find the vertex.
c. Therefore, we need to see snowboards to make a maximum profit of
Answer:
a) x₁ = 14
x₂ = - 6
b) x = 4
c) P(max ) = 4000000 $
Step-by-step explanation:
To find the axis of symmetry we solve the equation
a) -4x² + 32x + 336 = 0
4x² - 32x - 336 = 0 or x² - 8x - 84 = 0
x₁,₂ = [ -b ± √b² -4ac ]/2a
x₁,₂ = [ 8 ±√(64) + 336 ]/2
x₁,₂ = [ 8 ± √400 ]/2
x₁,₂ =( 8 ± 20 )/2
x₁ = 14
x₂ = -6
a) Axis of symmetry must go through the middle point between the roots
x = 4 is the axis of symmetry
c) P = -4x² + 32x + 336
Taking derivatives on both sides of the equation we get
P´(x) = - 8x + 32 ⇒ P´(x) = 0 - 8x + 32
x = 32/8
x = 4 Company has to sell 4 ( 4000 snowboard)
to get a profit :
P = - 4*(4)² + 32*(4) + 336
P(max) = -64 + 128 + 336
P(max) = 400 or 400* 10000 = 4000000
Answer:
0.74 to 6.06
Step-by-step explanation:
The groups are independnet,
SE(xh bar-xa bar)=sqrt [sh^2/nh+sa^2/na]=sqrt [10.1^2/80+10.3^2/80]=1.61
At df=157, the t critical is 1.65
90%c.i=(xh bar-xa bar)+-tcritical SE(xh bar-xa bar)
=(25.2-21.8)+-1.65*1.61
=0.74 to 6.06
Answer:
660 ways
Step-by-step explanation:
we have two numbers in consecutive positions in this question
(1,1) and (2,2)
numbers of ways that (1,1) are in consecutive positions = 6!/2! = 360
number of ways that (2,2) are in consecutive positions = 6!/2! = 360
the permutation of (11),(22),3,4,5 = 5!
ps:I countedthepairsasoneeach.
5! = 120
to get total number of permutations
7!/2!2!
= 5040/4
= 1260
the number of ways that 2 identical digits are not consecutively positioned = 1260-360-360+120
= 660 ways
Answer:
Step-by-step explanation:
A cube root is equivalent to the power of 1/3, so by taking the powers of the exponents and multiplying them by 1/3, you get your answer.
Answer:
Answer:
in-control
Step-by-step explanation:
basically, their are 2 types of control charts delineated:
1) uni-variate control chart : shows one quality characteristic
2)multivariate control chart : shows 2 or more than two quality characteristics
in statistics, we have "upper control limit" and "lower control limit".
if the system/variables are within these limits it is 'in-control' other wise 'out of control'
in-controlsays that all dots are within control limit and they have random pattern.
6, find the fourth common multiple
Answer:
The first common number are 2 and 3
their comnon multiple is 6
So, the fourth number will be 24 because
multiple means we should multiply 4*6 it will be 24.