On Tuesday at 2 p.m., the ocean’s surface at the beach was at an elevation of 2.2 feet. Winston’s house is at an elevation of 12
1 answer:
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Given equation is f(x)=-3x^3-x^2+1
We have to identify the graph that has same end behaviour as of given equation.
It seems that you have missed to attach the given graph in question. So i will explain about how to find correct graph.
Given function has highest exponent 3 so that means degree = 3
which is an odd number.
We know that graph of odd degree polynomial always starts and ends in opposite direction.
Leading coefficient of given function is -3 which is negative.
We know that when leading coefficient is negative then graph starts from top.
Hence graph of given function will start from top and go to the bottom as shown in picture.
Now any given graph which opens from up and ends in bottom will be answer.
All polynomials having odd degree and negative leading coefficient will also have similar graph.
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.