Answer:
There are typically 12 decision variables and 7 constraints. ( option A )
Step-by-step explanation:
Given that there are 4 sources and 3 destinations The true statement is :
There are typically 12 decision variables and 7 constraints.
Because : In general linear programming optimization
number of decision variables in transportation = destination * source
= 3 * 4 = 12 variables
number of constraints = destination + sources = 3 + 4 = 7 constraints
- Prove that linear functions change at the same rate over time. ... Linear functions take the form y = mx + b. An exponential function is in the form y = ax. It is easy to see the difference between a linear and exponential function on a graph.
The 1 represents the y intercept so a point is (0,1). To find other points, plug in values for x. For example, plus in x and you get a y value of 2. So just plot a number of points and then connect them with a curved line( called a parabola).
Answer:
Vacuous proof is used.
Step-by-step explanation:
Given:
Proposition p(n) :
"if n is a positive integer greater than 1, then n² > n"
To prove:
Prove the proposition p (0)
Solution:
Using the proposition p(n) the proposition p(0) becomes:
p(0) = "if 0 is a positive integer greater than 1, then 0² > 0"
The proposition that "0 is a positive integer greater than 1" is false
Since the premises "if 0 is a positive integer greater than 1" is false this means the overall proposition/ statement is true.
Thus this is the vacuous proof which states that:
if a premise p ("0 is a positive integer greater than 1") is false then the implication or conditional statement p->q ("if n is a positive integer greater than 1, then n² > n") is trivially true.
So in vacuous proof, the implication i.e."if n is a positive integer greater than 1, then n2 > n." is only true when the antecedent i.e. "0 is a positive integer greater than 1" cannot be satisfied.
If quadrilateral NOPQ is a parallelogram then:
NO = PQ
5 x + 12 = 7 x - 8
12 + 8 = 7 x - 5 x
20 = 2 x
x = 20 : 2
x = 10
NO = 5 * 10 + 12 = 50 + 12 = 62
Answer: d. 62
