Question

Problem 1a (20 points) The Kennesaw State Gymnastics Team consists of 6 people. They must to represent them at their next meet. The total score that each choose four total gymnasts individual gymnast can attain i1s V- team of four gymnasts must have at least three gymnasts that can compete in each of the three events. vault). example, if Gymnast 1 is selected, he/she will compete in both evens B and F.The Formulate an IP to maximize the total score attained by the KSU gymnasts. (Do not solve.) Be sure to label your decision variables, objective function, and constraints core Events SCORES Gymnast 18.8B,F Gymnast 2 9.4B,V |B,V,F 19.2 Gymnast 3 Gymnast 49.5 V,F Gymnast 5 8.7 B,F Gymnast 6 9.1 |B,V,F Problem 1b (10 points) Now add the following constraints to the model: Gi) If gymnast 4 is chosen, either gymnast 2 or gymnast 6 must also be chosen. (Gi) If gymnast 5 is chosen, gymnast 1 cannot be chosen. (ii) Either gymnast 3 or 6 must be chosen. Problem 2 (30 points) uppose you have $3Million to invest across 3 different investments You do not in each of the 3 onti Problem 2 (30 points) Suppose you have $3Million to invest across 3 different investments. You do not ne in each of the 3 options, but all investments made must be in multiples of $I Million below shows what your revenue will be for each amount of investment in the 3 opti Dynamic Programming to show what the optimal investment mix would be to ma revenue. Amount Investment Investment Investment invested 1 revenue2 revenue 3 revenue SM) SO $1 $2 S3 SO $7 $0 $6 $10 S12 $8 $13 $9

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