A transport company has two types of trucks; Mack S375 and Chevrolet R28s. Macks have a refrigerated capacity of 25 m3 and a non-refrigerated capacity of 35 m3 while R28s have the same overall volume with equal sections for refrigerated and non-refrigerated stock. A grocer needs to hire trucks for the transport of 3,000 m3 of refrigerated stock and 3,500 m3 of non-refrigerated stock. The cost of renting a Mack is $350, while the cost of renting a Chevrolet is $400. The grocer wants to minimize transportation cost for transporting all goods. a. What is the objective function for this problem?
b. What are the constraints?
c. How many trucks of each type should the grocer rent?
d. What is the minimum total cost?