Question 1

Figure from the original question paper There are 4 business units. There are two outputs and one input under consideration. You are solving the optimization problem for business unit 3 and find that the efficiency is 0.8. You find that the dual variables corresponding to the constraints of business units 3 and 5 are non-zero and the dual variables corresponding to the constraints of other units are zero. The dual variables corresponding to the constraints of business units 3 and 5 are 0.35 and 0.45 respectively. You are given the following table where sales and number of leads are the two outputs. What is the Market Share in HCU 4? Hint: Round off answers to 4 decimal places in every step of your calculation | | Total Profit (1000 \$) | Market Share (%) | |---|---|---| | DMU 3 | 15,000 | 55% | | DMU 5 | 18,000 | 60% | In the below diagram, the customer wants to decide between the products O1 \& O2, and x denotes the coordinates of the ideal product. Which of the following are true? Diagram of points O1, X and O2 on Attribute 1 vs Attribute 2 axes, with distances d1 (O1 to X) and d2 (X to O2)