(a)

A  design company creates web-sites and E-albums.

Each web site requires  hours of planning and hours of page design. 

Each family  E-albums hours of planning and hours of page design. 

There are hours available each week for  the staff to plan and hours for page design.

Profit for each web page is .

Profit for each E-album is .

Let be the number of web page designed per week.

Let be the number of E-album designed per week.

The objective function is , where and .

The constraints are

 .

(b)

Graph :

Graph the inequalities and shade the required region.

Note : The shaded region is the set of solution points for the objective function.

Observe the graph,

Tabulate the solutions of each of two system of inequalities and obtain the intersection points.  

\ System of boundary equations \	\ , \	\ \ \	\ \ \	\ \ \
Solution (vertex points)

(c)

Find the value of objective function at the solution points.

At point , .

At point , .

At point , .

At point , .

The company creates web sites and no E-albums for a maximum profits is .

(a)

The objective function is .

The constraints are , ,  and .

(b)

Graph :

(c) The company creates web sites and no E-albums for a maximum profits is .