Let’s see now how likely would we observe a rational outcome if a decision maker acted randomly. Consider the case of three alternatives X, Y and Z. Assume that deciding between any two of these alternatives, e. g., X and Y, the decision maker rolls a die and depending on the outcome decides Y X or X Y or Y ~ X, each with equal probability. (More specifically, assume that a decision maker takes any two alternatives, say X and Y, and rolls a die; if one or two dots come up he decides that he is indifferent between X and Y, if three or four dots come up he decides that he prefers X over Y and if five or six dots come up he decides that he prefers Y over X. Then he does the same for X and Z and for Y and Z.)

Lin corporation has a single product whose selling price is $136 per unit and whose variable expense is $68 per unit. the company’s monthly fixed expense is $32,400. required: 1. calculate the unit sales needed to attain a target profit of $5,000. (do not round intermediate calculations.) 2. calculate the dollar sales needed to attain a target profit of $8,400.

Dominic is the founder of an innovative "impromptu catering" business that provides elegant, healthy party food and decorations on less than 24 hours' notice. the company has grown by over 150 percent in the past year. dominic credits some of the company's success to studying the strategies of prominent social entrepreneurs, such as wikipedia's jimmy wales. what can dominic do to exemplify the social entrepreneurship model?

1. revising for conciseness - eliminating flabby expressions,limiting long lead-ins, and dropping unnecessary fillerstime is money in any business environment. people want information communicated quickly and clearly. to make your writing more concise and understandable, avoid flabby expressions, long lead-ins, and unnecessary fillers. your audience will appreciate your brevity.1. if your writing contains a flabby expression like in view of the fact that, replace it with the word because / although / probably .for each of the following two sentences, choose the best revision.2. i am sending you this letter to inform you that we have experienced an unexpected surprise within our expense sheet, but we are positively certain we will solve it.1) we need to inform you that we have experienced an unexpected surprise with our expense sheet, but we are midway to an end result.2) we have identified a problem with our expense sheet, but we will solve it.3) i am sending you this letter to inform you that we have a problem with our expense sheet, but we are positively certain we have a solution.3. it is the user who should contact the center.1) everyone knows that it is the user who should contact the center.2) the user should contact the center.3) if there is a problem, the user should contact the center.read the following passage, and then answer the question.[1] you scheduled seven conference calls for this morning between 10 and 11 a.m. [2] generally, the company limits the number of conference calls to three per hour. [3] i’m letting you know that in the future, we should be more careful about scheduling.4. which revision limits the long lead-in in sentence 3? 1) in the future, we should be more careful about scheduling.2) i’m letting you know so that in the future we are more careful about scheduling calls.3) so that you know in the future, we should be more careful about scheduling.