please show sets parameters and decision variables clearly. and also binary variable. you just need to develop an integer programming model no need to solve it by using excel etc. please just clearly show the IP model.

Q3) (25p) Q) ArtCo produces three types of toys on two different production lines. In each line, there can be six workers at maximum. The weekly salaries of the workers are $350 and $450 in production line 1 and production line 2, respectively. A week of production costs $1200 to set up production line 1 and $1800 to set up production line 2. During a week on a production line, each worker produces the number of units of toys shown in below table. Each week, at least 120 units of toy 1, at least 150 units of toy 2, and at least 200 units of toy 3 must be produced. Formulate an IP to minimize the total cost of meeting weekly demands. Toys 1 2 3 Production Line 1 2 30 45 40 35 25 30