The Profit = Revenue - CostP ( x ) = ( 40 x - 0.5 x² ) - ( 5 x + 15 ) = = 40 x - 0.5 x² - 5 x - 15 = - 0.5 x² + 35 x - 15The maximum profit is when: P`( x ) = 0P ` ( x ) = ( - 0.5 x² + 35 x - 15 ) ` = - x + 35- x + 35 = 0x = 35 ( the number of units )P max = - 0.5 · 35² + 35 · 35 - 15 = - 612.5 + 1225 - 15 = 597.5Answer: The maximum profit is 597.5 and the number of units is 35.
6 people ride in each car
Explanation:
42 divided by 7 is 6. This means 42 people divided amongst 7 cars.
Answer:
Let x = cost of your friend's lunch.
x + x + 3 = 19
x= 8
Answer: Matrix B is non- invertible.
Step-by-step explanation:
A matrix is said to be be singular is its determinant is zero,
We know that if a matrix is singular then it is not invertible. (1)
Or if a matrix is invertible then it should be non-singular matrix. (2)
Given : A and B are n x n matrices from which A is invertible.
Then A must be non-singular matrix. ( from 2 )
If AB is singular.
Then either A is singular or B is singular but A is a non-singular matrix.
Then , matrix B should be a singular matrix. ( from 2 )
So Matrix B is non- invertible. ( from 1 )
