In this task, you are asked to formulate the linear programming problem below.

You are not required to solve it.

A sub-contractor produces two types of units for a kitchen manufacturer, a base

unit (B) and cabinet unit (C).

The base unit requires 40 minutes in the production department and 30 minutes in

the assembly department.

The cabinet unit requires 15 minutes in the production department and 25 minutes

in the assembly department.

The production and assembly of these two units are done by specialist carpenters

who are in short supply. Each day only 14 hours in the production department are

available and only 8 hours are available in the assembly department.

Once sold, the base units contribute 18 to profit and the cabinet units 32 to

profit.

Required:

Formulate the Linear Programming problem above by defining the control

variables, stating the object function and the two constraints.