Provide a Linear Programming model (with variables constraints, etc). You don't need to solve it

Thanks for helping me out!

A large manufacturer can produce and sell its product in each of the four major geographical areas of the US: South, West, Northeast and Midwest. For the next quarter for region i you have estimated: the maximum demand for the product di (this is how much of the product can be sold in each area), manufacturing capacity (i.e., how many units can be produced) ai, unit production cost c; and unit sale price pi. Finally, assume that within region transportation cost is zero, but the between-region costs (per unit shipped) are as follows: South West Northeast West Northeast Midwest 300 500 300 750 210 300 The following data is given: a South West Northeast Midwest d 550 300 600 150 1200 0 50 700 40 50 100 300 600 700 600 350 Formulate profit maximization problem A large manufacturer can produce and sell its product in each of the four major geographical areas of the US: South, West, Northeast and Midwest. For the next quarter for region i you have estimated: the maximum demand for the product di (this is how much of the product can be sold in each area), manufacturing capacity (i.e., how many units can be produced) ai, unit production cost c; and unit sale price pi. Finally, assume that within region transportation cost is zero, but the between-region costs (per unit shipped) are as follows: South West Northeast West Northeast Midwest 300 500 300 750 210 300 The following data is given: a South West Northeast Midwest d 550 300 600 150 1200 0 50 700 40 50 100 300 600 700 600 350 Formulate profit maximization