CAN YOU PLEASE SOLVE IT STEP BY STEP BY USING BINARY DECISION AND WE DO NOT NEED SOLUTION JUST NEED CONSTRAINTS AND LP FORMULATION.

Question 2 (10 pts) Three different products are made on three production lines each week. If a production line is used in a given week there is an associated setup cost. Each worker is designated to only one production line, and the pay and production of each worker depends on which line they are assigned to. In addition, each worker is assigned to one product on their assigned line. Relevant data are given below. Line1 $2000 40 70 Line2 $1500 90 Setup Cost Product 1/worker Product 2/worker Product 3/worker Cost/worker Line 3 $2500 100 120 130 $1400 110 80 125 $900 $600 we can use Each week we need to make 500 of product 1, 700 of product 2, and 800 of product 3. at most 15 workers, formulate an integer program that minimizes the total cost of meeting our weekly demand