Imagine you are the captain of a cargo ship and different companies want you to transport their cargo. Each piece of cargo has a certain weight and valuation below. Suppose the ship can carry 17 tons of cargo. Item’s valuations are kept private by the companies but item weights are known publically. Item/Bidder Valuation Weight […]
Write a short paper using the equations with the exception of chapter 5(interest/compound interest equations).
Applications of Linear, Quadratic or Exponential Equations Apply mathematical problem solving skills to a variety of problems at the college level. Use what we have learned in the course and apply them to a topic of your choice. Write a short paper using the equations with the exception of chapter 5(interest/compound interest equations. The goal […]
Does the greedy allocation rule maximize social welfare? Prove the claim or construct an explicit counterexample.
You can earn extra credit by typing up your solutions in LaTeX. Use Overleaf asa LaTeX editor. Exercise adapted from Problem 4.3:Consider a set M of distinct items. There are n bidders, and each bidder i has a publicly known subset Ti ⊆ M of items that it wants, and a private valuation vi for […]
Is the correlation you obtained in cell A13 positive or negative and state your result in cell A15.
We would like learn about the correlation coefficient using Excel. Lets look at the following question. To find out how genetically related the cholesterol level is, they measured the cholesterol level of eight mothers and their daughters. They obtained the following data. Mother Her daughter 157 154 189 150 201 184 174 170 159 158 […]
Does the greedy allocation rule maximize social welfare? Prove the claim or construct an explicit counter example
Homework 4-Stat 155 Spring 2022 You can earn extra credit by typing up your solutions in LaTeX. I suggest you use Overleaf as a LaTeX editor. Exercise adapted from Problem 4.3: Consider a set M of distinct items. There are n bidders, and each bidder i has a publicly known subset Ti ⊆ M of […]
Explain how to implement a welfare-maximizing DSIC mechanism by invoking this subroutine n + 1 times, where n is the number of participants.
08.0-pp-39-54 Lecture 4 Algorithmic Mechanism Design ExercisesExercise 4.1 Consider an arbitrary single-parameter environment, with feasible set X. Prove that the welfare-maximizing allocation rulex(b) = argmax(x1,…,xn)∈Xn∑i=1bixi (4.2)is monotone in the sense of Definition 3.6.[Assume that ties are broken in a deterministic and consistent way,such as lexicographically.] Exercise 4.2 Continuing the previous exercise, restrict now to fea-sible […]
Discuss the effect on the minimum transportation cost when capacity at each factory or warehouse is altered by adding or subtracting one ton.
Paint Tran-shipment ProblemA company has two factories, one each at Bristol and Leeds. The factories produce paints which are sold to five wholesalers. The wholesalers are either supplied directly from the factories or through one of the company warehouses, the transportation costs being paid by the company. The company has three warehouses, one each in […]
Write a coursework on the finance portfolio using the link below.
Finance Portfolio Write a coursework on the finance portfolio using the link below. here is the link to the finance portfolio: https://sites.google.com/forsythk12.org/1financeportfolio/big-spender/buying-vs-leasing.
Compose a well-organized essay discussing the three topics you most enjoyed learning in MTH100.
ASSIGNMENT: Compose a well-organized essay discussing the three topics you most enjoyed learning in MTH100. Use the five-paragraph format and make sure the following is contained in your essay: Topic must be explained utilizing words, not math symbols (i.e. use the words greater than, not symbol (>). You must explain why you enjoyed the topic. […]
Calculate how many units of each model should National make each month to maximize its monthly profit?
Linear Programming National Business Machines manufactures x model A portable printers and y model B portable printers. Each model A costs $100 to make, and each model B costs $150. The profits are $40 for each model A and $35 for each model B portable printer. If the total number of portable printers demanded per […]