1. Formulate the following LP scenario using mathematical expressions (equalities and inequalities)

1. Martha Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows:

Department	Product 1	Product 2	Product 3
A	2.00	1.5	3.00
B	2.50	2.00	1.00
C	0.25	0.25	0.25

During the next production period, the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $25 for product1, $28 for product 2, and $30 for product 3. The fixed cost setting up the production line for the products 1,2,3 are 100, 120 and 115 respectively.