Answer:
1
Step-by-step explanation:
therefore the slope is 1
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Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even.
1 answer:
The number of units of x that must be sold to break even is 12 units.
Explanation:
It is given that the cost function C(x) is given by
Also, the revenue function R(x) is given by
The break even point can be determined by equating the cost function and the revenue function.
Thus, we have,
Subtracting both sides by , we get,
Dividing both sides by , we have,
Thus, it takes 12 units to be sold to break even.
Hence, the number of units of x that must be sold to break even is 12 units.
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Answer:
a) There is a 45.53% probability that a person who walks by the store will enter the store.
b) There is a 41.07% probability that a person who walks into the store will buy something.
c) There is a 18.70% probability that a person who walks by the store will come in and buy something.
d) There is a 58.93% probability that a person who comes into the store will buy nothing.
Step-by-step explanation:
This a probability problem.
The probability formula is given by:
In which P is the probability, D is the number of desired outcomes and T is the number of total outcomes.
The problem states that:
123 people walked by the store.
56 people came into the store.
23 bought something in the store.
(a) Estimate the probability that a person who walks by the store will enter the store.
123 people walked by the store and 56 entered the store, so .
So
There is a 45.53% probability that a person who walks by the store will enter the store.
(b) Estimate the probability that a person who walks into the store will buy something.
56 people came into the store and 23 bought something, so .
So
There is a 41.07% probability that a person who walks into the store will buy something.
(c) Estimate the probability that a person who walks by the store will come in and buy something.
123 people walked by the store and 23 came in and bought something, so .
So
There is a 18.70% probability that a person who walks by the store will come in and buy something.
(d) Estimate the probability that a person who comes into the store will buy nothing.
Of the 56 people whom came into the store, 23 bought something. This means that 56-23 = 33 of them did not buy anything. So:
There is a 58.93% probability that a person who comes into the store will buy nothing.