RefineryMasters is a company that processes raw products. The refinery outputs two different products with three product classes:

The refinery processes 3 different raw products.

The proportion of unprocessed material can be used for different products and it depends on the class of product.

Some of the materials end up as waste. The below table shows the waste percentage. For example, 5 % of product C goes to waste. These proportions are given in the table below:

Product	A	B	C
Raw	0,3	0,05	0,35
Refined	0,5	0,7	0,8

Below is the price table it costs to procure the materials:

Product	A	B	C
Purified	20	21	25
Extra-Purified	2500	2600	2700

Table for received orders:

Product	Purified	Extra-Purified
Final product(s)	10	28

The refinery wants to buy the raw products in such a way that the minimum production quantities are met and the procurement costs are minimized.

Formulate LP model. Use variables A, B and C.

1. Each product class has a maximum quantity that the refinery can purchase. Form the constraints corresponding to the condition:

A<=__?

B<=__?

C<=__?

2. Each product has a minimum quantity that the refinery needs to procure. Form the constraints:

constraints 1: constraints 2: