Chapter ISG, Problem 6.1.1.3P

a.

To determine

To define variables and their constraints.

Answer to Problem 6.1.1.3P

Variables of will is x and variable of Baljit be y .

Their constraints are 3.5 and 2.5 respectively

Explanation of Solution

Given information:

Centrepiece assembled=29

Total number of hours=10

Calculation:

Number of constraint Will assembled per hour=3.5

Number of constraint Baljit assembled per hour=2.5

Let number of hour work done by will be x and

Number of hours work done by Baljit be y .

Their constraints are 3.5 and 2.5 respectively

b.

To determine

To write system of equation.

Answer to Problem 6.1.1.3P

  $x+y=10$ and $3.5x+2.5y=29$

Explanation of Solution

Given information:

Total number of hour=10

Total centrepiece assembled=29

Calculation:

According to question,

Total number of hours=10

Number of hours work done by will+ number of hours work done by Baljit=10

  $x+y=10$  -(1)

Also,

Total centrepiece assembled=29

Centrepieces assembled by will+ centrepieces assembled by baljit=29

  $3.5x+2.5y=29$   -(2)

From (1) and (2)

  $x+y=10$

  $3.5x+2.5y=29$

These are the system of equation

c.

To determine

To write system of equations

Answer to Problem 6.1.1.3P

  $x+y=4$

  $3.5x+2.5y=12$

Explanation of Solution

Given information:

Total centrepiece=12

Total number of hours=4

Calculation:

According to question,

Total number of centrepiece made=12

  $3.5x+2.5y=12$   -(3)

And,

Total number of hours=4

  $x+y=4$  -(4)

These are the system of equations to be represented.