(1) Define the decision variables (2) Define the objective function in mathematical form: (3) Write the technical constraint functions: (4) Write the non-negativity constraint

Explained and written below.

Step-by-step explanation:

(1) Define the decision variables.

Ans:- A decision variable is a quantity that the decision-maker controls. For Example:- In an optimization model for labor scheduling, the number of nurses to employ during the morning shift in an emergency room may be a Decision variable.

(2) Define the objective function in mathematical form.

Ans:-The objective function is a means to maximize (or minimize) Data. This data  is a numeric value: in the real world it could be the cost of a project, a production quantity, profit value, or even materials saved from a streamlined process. With the objective function, you are trying to arrive at a target for output, profit, resource use, etc.

(3) Write the technical constraint functions.

Ans:-A technical constraint Could be anything that limits the deployment of electricity Generation by Heat.There are some technical constraints are specific for device and but not all. It could be anything that programmed to run the devices.

(4) Write the non-negativity constraint.

Ans:- & are the non-negative constraint of linear inequality. These are included because x and y are usually the variables which cannot be negative. It could be zero but not less than 0. Example:- x and y can be number of production done by machine in a month and it can't be negative.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17