please help me with this Define decision variables

Write objective function

Write the constraints

Write the variable restrictions

GreenGrass manufactures lawnmowers in two plants. The lawnmowers are shipped to three Distribution Centers and the shipping costs are shown in the table below. Assume that the variable cost of production is the same at each plant. Total weekly demand for lawnmowers is 540, and a single plant can produce no more than 360 lawnmowers/week. While there is flexibility in where the lawnmowers can be produced, each Distribution Center needs to receive exactly 180 lawnmowers/week. You have just been hired as logistics analyst at GreenGrass and need to decide how many lawnmowers should be produced at each plant, and where they should be shipped. Distribution Center Plant 1 2 3 A $400 $350 $400 B $300 $400 $250 Formulate a linear program to minimize the distribution cost. Clearly define the decision variables and their restrictions, and write out the objective function and constraints as functions of the decision variables