Question 3: CLON(50%), CLO2(50%) (5 points) A logistics company that owns 10 airplanes received a big shipment order of medical supplies in response for covid-19. The order consists of face masks, respiratory devices, virus test kits, and vaccines. The information of each type of product are listed in following table: Product Face masks Respiratory devices Virus test kits Vaccines The information of each product per box Size in m3 Weight in kg Taxes in SR 1.8 35 120 2.4 120 200 1.5 53 165 0.9 85 450 Demand in boxes 60 100 140 300 Each airplane can carry up to 20,000 kg in weight and can carry up to 350 min size. The operating cost is 300,000 SR per airplane. The company would like to find the minimum total cost so it can add a profit margin to charge its customer. Question 3.A: Formulate the programming model to find the optimal shipping plan that minimizes the total cost. (compact form) Question 3.B: Suppose from part 1 you leamed that the company only needs 3 airplanes to ship the whole order. Use goal programming to balance the weight of the shipment among the airplanes to minimize the risks of carrying heavy weight. (compact form) Question 3: CLON(50%), CLO2(50%) (5 points) A logistics company that owns 10 airplanes received a big shipment order of medical supplies in response for covid-19. The order consists of face masks, respiratory devices, virus test kits, and vaccines. The information of each type of product are listed in following table: Product Face masks Respiratory devices Virus test kits Vaccines The information of each product per box Size in m3 Weight in kg Taxes in SR 1.8 35 120 2.4 120 200 1.5 53 165 0.9 85 450 Demand in boxes 60 100 140 300 Each airplane can carry up to 20,000 kg in weight and can carry up to 350 min size. The operating cost is 300,000 SR per airplane. The company would like to find the minimum total cost so it can add a profit margin to charge its customer. Question 3.A: Formulate the programming model to find the optimal shipping plan that minimizes the total cost. (compact form) Question 3.B: Suppose from part 1 you leamed that the company only needs 3 airplanes to ship the whole order. Use goal programming to balance the weight of the shipment among the airplanes to minimize the risks of carrying heavy weight. (compact form)