Minimize The Total Cost by LPP Method

"A company manufactures a product in two cities, which are Dallas and Houston. The daily production capacities at Dallas and Houston are 160 and 200, respectively. Products are shipped by air to customers in San Francisco and New York. The customers in each city require 140 units of the product per day. Because of the deregulation of air fares, the company believes that it may be cheaper to first fly some products to Chicago or Los Angeles and then fly the products to their final destinations. The costs of flying one unit of the product between these cities are shown in the table below. The company wants to minimize the total cost of daily shipments of the required products to its customers. List the goal function and constraints for the problem. Find the optimum solution for the problem. "