Answer:
relate the values and find the correct answer
To solve for c, you need to get c onto one side of the equation, or make it c=__. So what I would do first is subtract a/b from both sides
a/b + c = d/c
-a/b
a/b - a/b + c = d/c - a/b
c = d/c-a/b
Proof by induction
Base case:
n=1: 1*2*3=6 is obviously divisible by six.
Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.
For n+1:
(n+1)(n+2)(n+3)=
(n(n+1)(n+2)+3(n+1)(n+2))
We have assumed that n(n+1)(n+2) is divisble by 6.
We now only need to prove that 3(n+1)(n+2) is divisible by 6.
If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.
The "cool" part about this proof.
Since n is a natural number greater than 1 we can say the following:
If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.
Answer:
Part A
3 Bathroom and 3 Kitchen
Part B.
$13,500
Step-by-step explanation:
Bathroom per day = 3
Average profit of Bathroom = $1,200 per hour
Kitchen per day = (12 hours - 3 hours)/3 = 3 kitchen
Average Profit from Kitchen = $3,300 / 3 = $11,00 per hour
As the company cannot do more than 3 bathrooms which has higher per hour average profit, the remaining 9 hours will be utilized for Kitchen Installation.
Part A.
Company will do 3 Bathrooms and 3 Kitchens in order to maximize the profit under given condition.
Part B.
Total Earning = ($1,200 x 3 ) + ($1,100 x 9 ) = $3,600 + $9,900 = $13,500
The company will earn Average profit of $13,500.
