x=3001 +252 8.t. 21 +2 1 + x2 #1 1, 2 Decide if this is a normal max LP (but I decided not to ask) Consider the Max LP: min w (₁20) 31 (Y/2 ≥ 0) Y₂ > (9/30) 23 2. Here is a the table form for finding the dual, but there is a couple of missing or incorrect entries that you are asked to identify below it: the value of a is max z (2₁0) (₂0) cis 21 2 1 1 b Ca 1 1 a 82 100 <80 40 20 the missing value(s) in position b is (are) no extra spaces though) 3. The objective function for the dual min is w = cy1 + dy2 + e y3 where and dis <100 80 40 and e is (as we usually write things

As the owner of a fast food restaurant wiht declining sales, your customers are looking for something new and exciting on the menu.  Your market research indicates that they want a burger that is loaded wiht everything as long as it meets certain health requirements.  Money is no object to them.  Must include at least one of each item and no more than six of each item.  Must use whole items 9 (no half or partial servings). Final burger must contain no more than:  3,000 mg of sodium, 150g of fat, 3,000 calories.  Must keep the servings of ketchup and lettuce the same.  Muse use exactly two buns.   What is the most expensive burger you can make that meets these requirements? What are the allocations of each ingredient?

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Show that if ˆ is an unbiased estimator of θ andvar()ˆ Z 0, then ˆ 2 is not an unbiased estimator of θ 2.