Formulate the giving problem ( for not giving numbers, please just put the corresponding variables) .

2 A company manufactures seven different products: A, B, C, D, E, F, and G. Each product can be manufactured using two types of machines: M1 and M2. In addition, each product is made from three different raw materials RM1, RM2, and RM3. Moreover, the demand of: (i) product A should be at least 200 units, (ii) products B and E is limited to 800 and 400, respectively, and (iii) remaining products is unlimited. Relevant data is given in the table below. Item input (in units) to make one unit of Max availability Item A B D E F G per day RM1 A1 B1 C1 D1 E1 F1 G1 bRM1 RM2 A2 B2 C2 D2 E2 F2 G2 ERM2 RM3 A3 B3 C3 D3 E3 F3 G3 DRM3 M1- time (hours) MA1 MB1 MC1 MD1 ME1 MF1 MG1 bM1 M2 time (hours) MA2 MB2 MC2 MD2 ME2 MF2 MG2 bM2 Profit ($/unit) PA PB PC PD PE PF PG