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2. A small logistics company in Shuwaikh is considering redesigning its truck fleet. To be profitable, a daily trucking capacity of at least 84000m3 is required. Two types of trucks are available. Their capacities and costs are summarized in the table below. Note that the large truck requires 3 drivers for long haul trips. There are 41 potential drivers available and there are parking spaces for at most 40 trucks. The company's objective is to minimize the total cost. a. Formulate and solve a linear program for this problem. Clearly define the decision variables. Decision variables (1 point): Linear program (3 points): b. What is the optimal solution and the total cost? (1 point) c. The company management wants to have at least two large trucks for every small truck. i. How does this affect the model developed in (a)? (1 point) ii. Does the optimal solution change? (1 point) iii. Does the total cost change? (1 point) iv. What can you conclude regarding the solution of this linear program? (1 point)