A bakery shop MeltingFat wants to expand its business. MeltingFat already purchased 3 factories for its main product, Buttery Croissant. Table 1 shows the production capacity and unit production cost for the factories in the three cities. Factory 1 2 3 Units Ordered Capacity (Unit Week) 90 120 120 150 Table 1 Four restaurants have made orders for the coming month. Table 2 shows their orders. Restaurants 1 3 70 2 60 Unit Production Cost ($/Unit) $20 $20 $18 Table 2 4 80 The per-unit shipping costs from factories to restaurants are as shown in Table 3 Unit shipping costs to Restaurants Restaurant 3 $7 $6 $12 Factory 1 Factory 2 Factory 3 Restaurant 1 $8 $9 $14] Restaurant 2 $6 $ 12 $9 Table 3 a) Formulate a Linear Programming model that minimizes the cost. b) Solve the model using Excel Solver. Restaurant 4 $10 $ 13 $ 16