Please help me please
1 answer:
You might be interested in
Answer with Step-by-step explanation:
We are given that the set of vectors is lineraly dependent set .
We have to prove that the set is linearly dependent .
Linearly dependent vectors : If the vectors
are linearly dependent therefore the linear combination
Then ,there exit a scalar which is not equal to zero .
Let then the vector
will be zero and remaining other vectors are not zero.
Proof:
When are linearly dependent vectors therefore, linear combination of vectors of given set
By definition of linearly dependent vector
There exist a scalar which is not equal to zero.
Suppose then
The linear combination of the set
When
Therefore,the set is linearly dependent because it contain a vector which is zero.
Hence, proved .
Answer:
a)The company has to 250 cameras in one day to equal its daily cost
b)Their daily profit will be $400
Step-by-step explanation:
Given:
overhead expenses = $1500
labour and materials expenses = $9
cameras sell for $15 each
To Find:
(a)How many cameras must the company sell in one day to equal its daily cost
(b) If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?
Solution:
a) let the number of cameras sold per day be x
Total daily cost = overhead expenses +labour and materials expenses
Total daily cost = 1500 + 9x--------------------------(1)
Total daily revenue = 15x------------------------------(2)
Equating (1) and (2)
1500 + 9x = 15x
1500 = 15x- 9x
1500 = 6x
x=
x= 250
So, the company has to 250 cameras in one day to equal its daily cost.
b) increasing production by 50 cameras per day will give a daily profit of
=>50 X (17-9)
=>50 X 8
=> 400