Question 1: General Ford produces cars at L.A. and Detroit and has a warehouse in Atlanta; the company supplies cars to customers in Houston and Tampa. The cost of shipping a car between points is given in the following table where "--" means that a shipment is not allowed. L.A. can produce as many as 1,100 cars, and Detroit can produce as many as 2,900 cars. Houston must receive 2,400 cars, and Tampa must receive 1,500 cars. (1.1) Formulate a balanced transportation problem that can be used to minimize the shipping costs incurred in meeting demands at Houston and Tampa; (1.2) Use the minimum cost method to find a feasible basic solution to the problem and continue to use the simplex method if necessary to find the optimal solution; (1.3) Find the allowable range of change in shipping cost from Detroit to Houston (c24) under which the current optimal solution remains optimal; (1.4) Find the optimal solution to the new problem where the demand in Houston increases to 2500 cars