A company manufactures Handband, a wireless activity tracker. There are initial start up costs involved. Additionally, the compa
ny spends a certain amount of money to manufacture each Handband. The cost of manufacturing h Handbands is given by the function, C(h) = 21h + 15000
Which of the following statements are true? Check all that apply.
Which of the following statements are true? Check all that apply.
1 answer:
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Answer:
Interpretation:
It means that Passenger will reach to same height after each 2/3 minutes
Step-by-step explanation:
We are given height function as
where
h is the height above the ground
t is the time
we can compare it with standard equation
Period formula is
now, we can compare and find B
we can find period
Interpretation:
It means that Passenger will reach to same height after each 2/3 minutes
Answer:
Revenue , Cost and Profit Function
Step-by-step explanation:
Here we are given the Price/Demand Function as
P(x) = 253-2x
which means when the demand of Cat food is x units , the price will be fixed as 253-2x per unit.
Now let us revenue generated from this demand i.e. x units
Revenue = Demand * Price per unit
R(x) = x * (253-2x)
=
Now let us Evaluate the Cost Function
Cost = Variable cost + Fixed Cost
Variable cost = cost per unit * number of units
= 3*x
= 3x
Fixed Cost = 6972 as given in the problem.
Hence
Cost Function C(x) = 3x+6972
Let us now find the Profit Function
Profit = Revenue - Cost
P(x) = R(x) - C(x)
=
=
Now we have to find the quantity at which we attain break even point.
We know that at break even point
Profit = 0
Hence P(x) = 0
now we have to solve the above equation for x
Dividing both sides by -2 we get
Now we have to find the factors of 3486 whose sum is 125. Which comes out to be 42 and 83
Hence we now solve the above quadratic equation using splitting the middle term method .
Hence
Either (x-42) = 0 or (x-83) = 0 therefore
if x-42= 0 ; x=42
if x-83=0 ; x=83
Smallest of which is 42. Hence the number of units at which it attains the break even point is 42.