LP MODEL AND OPL ?

Formulate an LP model to minimize the cost of Dream-co to satisfy the demand for pool tables. Clearly define all decision variables and constraints.Be careful about units.

USE OPL TO MINIMIZE COST OF Dream-Co satisfy the demand.

Information about questions:

Dream-co Company produces pool tables using four main components: one A, one B, four C component, and one D component. The marketing department estimates that at least 5000 pool tables will be sold next month. Dream-co purchases the B component from an outside supplier; but the A, C and D component may either be produced by the company or purchased from an outside supplier. Manufacturing and purchase costs per unit are shown in the table below.

Component	Manufacturing cost ($)	Purchase cost ($)
A	32.00	48.00
C	9.00	16.00
D	8.50	9.50

Three departments are involved in the production of these components. The time (in minutes per unit) required to process each component in each department and the available monthly capacity (in hours) for the three departments are as follows.

	Department
Component	Cutting	Milling	Shaping
A	3.5	2.2	3.1
C	1.3	1.7	2.6
D	0.8	-	1.7
Capacity (hours)	450	520	780

The management wants at least 25% of each component to be manufactured by Dream-co company.