Pizza Hut is planning to introduce a new gourmet lamb shank pizza and has commissioned a conjoint study to find out the pizza profile which consumers like the most. The following table shows different options that Pizza Hut is considering providing. Question 3 (20 points) The following table shows the part-worths of different attributes obtained from the conjoint analysis for a single customer. Calculate the utility of each of the following product profiles if Pizza Hut chooses to offer them to this customer. i. Lamb shank pizza with pizza sauce, classic crust, and feta cheese ii. Lamb shank pizza with cranberry sauce, classic crust, and mozzarella cheese iii. Lamb shank pizza with barbeque sauce, deep pan crust, and parmesan cheese iv. Lamb shank pizza with cranberry sauce, thin and crispy crust, and mozzarella cheese. v. Based on the Pizza Hut Case above, calculate the relative importance of the three attributes to this customer. vi. Assuming that this customer was intent on buying one of these four pizzas, what is the probability that they would choose to buy a Lamb shank pizza with cranberry sauce, thin and crispy crust, and mozzarella cheese? Pizza Hut is planning to introduce a new gourmet lamb shank pizza and has commissioned a conjoint study to find out the pizza profile which consumers like the most. The following table shows different options that Pizza Hut is considering providing. Question 3 (20 points) The following table shows the part-worths of different attributes obtained from the conjoint analysis for a single customer. Calculate the utility of each of the following product profiles if Pizza Hut chooses to offer them to this customer. i. Lamb shank pizza with pizza sauce, classic crust, and feta cheese ii. Lamb shank pizza with cranberry sauce, classic crust, and mozzarella cheese iii. Lamb shank pizza with barbeque sauce, deep pan crust, and parmesan cheese iv. Lamb shank pizza with cranberry sauce, thin and crispy crust, and mozzarella cheese. v. Based on the Pizza Hut Case above, calculate the relative importance of the three attributes to this customer. vi. Assuming that this customer was intent on buying one of these four pizzas, what is the probability that they would choose to buy a Lamb shank pizza with cranberry sauce, thin and crispy crust, and mozzarella cheese