Problem 5 (18 points) Consider the Black-Litterman framework and the following quadratic pro- gram minimize subject to ( ) ( ) ( π) - Ρμ = q Σ (a) (7 points) Describe what the optimization is trying to achieve. What is the model assuming about the strength of the subjective views? (b) (7 points) Find the vector that solves the KKT conditions for the quadratic program. SHOW ALL WORK. (c) (4 points) Other than the ability of incorporating subjective views in the context of MVO, what is the chief benefit of the Black-Litterman approach for using MVO? BRIEFLY discuss.
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- y = (3 - x)6 + 7 apply the function in economic optimization conceptConsider the following linear program: Maximize 30X + 10Y Subject to: 3X + Y ≤ 300 X + Y ≤ 200 X ≤ 100 Y ≥ 50 X,Y ≥ 0 (a) Solve the problem graphically. Is there more than one optimal solution? Explain. (b) Are there any redundant constraints?1. Please follow the provided formula for the solution
- Solve the following problems by using the inverse of the matrix involved. (a) An automobile factory producess two models, A and B. Model A requires 1 labor hour to paint and 1 labor hour to polish; model B requires 1 labor hour for each 2 process. During each hour that the assembly line is operating, there are 80 labor hours available for painting and 65 labor hours for polishing. How many of each model can be produced each hour if all the labor hours available are to be utilized? (b) Suppose each model A requires 14 widgets and 10 shims and each model B requires 10 widgets and 7 shims. The factory can obtain 1050 widgets and 745 shims each hour. How many cars of each model can it produce while using all the parts available? (a) Model A: Model B: (b) Model A: Model B:Technology B uses 4 workers and 2 tonnes of coal to produce 100 meters of cloth. The worker's wages cost $10 and coal costs $5. We have previously calculated that the total cost of production is $50 and that the vertical intercept of the isocost line is 10.If there was a technology that used 1 more worker, how much would it have to decrease the coal required in order to cost the same? (Note: this is the absolute value of the slope of the isocost line.)Refresh your Math & Graphing Skills SOP-A D For each of the following scenarios, indicate whether the relationship between the two variables is positive or negative, as well as which line on the previous graph has a slope that reflects this type of relationship. X-axis Hint: The X-axis and Y-axis on the graph are not labeled intentionally. You need to substitute the variables from each scenario for the horizontal and vertical axis. For example, in the first scenario, X-axis should be labeled The average grade received" and Y-axis should be labeled "The number of hours spent studying". Scenario As the number of hours spent studying rises, the average grade received rises. As the number of hours spent studying falis, the likelihood of getting an A falls. As the number of hours spent watching TV rises, the average grade received falls. True True or False: Line B has a slope of infinity. O False www Relationship Line Y
- It costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake. A cupcake is sold for $4.90 each. (iv) Write an algebraic expression representing the revenue R as a function of the number of cupcakes x sold.(v) Graph both functions on the same coordinate axes.(vi) From your graph find coordinatae at which cost equals revenue.(vii) Using your graph, determine how many cupcakes need to be made to produce revenue of at least $1,029. How much profit is made for this number of cupcakes?d) Differentiate between the following terms (i) Homogenous and non-homogenous differential equations (ii) Exponential and logarithmic functionsAccording to the following given information how to determine: Production Times (months) 1 9 10 11 12 13 14 15 product of 970 1,180 1,239 1,293 1,350 1,398 1,410 1,480 1,492 1,500 1,520 1,592 1,605 1,660 1,685 (Z unit) A) Break Even-point or points? B) How is to construct the relationship between entire variables through the simple drawing for all above figures and highlighting of Break Even point the drawing? C) Justify your final answer for each line of production.
- 1 1 a) Let A = 1 -1 -1 1 (i) Compute the value of det (A). (ii) For what values of x will the matrix be singular? b) Write down the quadratic form that corresponds to the following matrix. 2 4 2 -1 -3 .4 -3 1The O'Neill Shoe Manufacturing Company will produce a special-style shoe if the order size is large enough to provide a reasonable profit. For each special-style order, the company incurs a fixed cost of $2,625 for the production setup. The variable cost is $55 per pair, and each pair sells for $80. (a) Let x indicate the number of pairs of shoes produced. Develop a mathematical model for the total cost (C) of producing x pairs of shoes. C = (b) Let P indicate the total profit. Develop a mathematical model for the total profit realized from an order for x pairs of shoes. P = (c) How large must the shoe order be before O'Neill will break even? x =Could I have help finding these given the two equations and parameter provided above