As you know, couples usually decide how many children they want to have (x1). since family resources are limited, there is a tradeoff between the quantity of children in a family and consumption of "other goods" (x2). assume a family budget of m, a "price" per children of pi, and a price of other goods" of p2. assume also that parental preferences are described by u(x1x2) = xı x2. assume perfect divisibility of children. a. find the demand functions for x and x2 in terms of m, pi and p2. b. assume m= 14 and pi = p2 = 1. what is the optimal bundle? c. now assume the price of children increases to pı = 3. compute the new optimal bundle. d. what is the (minimum) additional income the couple would need to be able to afford the original optimal bundle (i. e. the one you found in part b)? for simplicity, let's refer to that additional income as am. show clearly how you arrive to your results. e. what would be the optimal bundle if the couple had an income of 14 + am and faced the original prices (pı = p2 = 1)? f. focusing on x1, express the income and substitution effects in terms of your answers to parts b, c and e. g. draw a graph with the three bundles and the corresponding indifference curves and budget lines. carefully label the income and substitution effects.

Why might a business based on a fad be a good idea? question 2 options: fads bring in the most customers. some fads are longer lasting than expected. fads have made some business owners incredibly wealthy. fads can take a business in a new direction.

Companies hd and ld are both profitable, and they have the same total assets (ta), total invested capital, sales (s), return on assets (roa), and profit margin (pm). both firms finance using only debt and common equity. however, company hd has the higher total debt to total capital ratio. which of the following statements is correct? a) company hd has a higher assets turnover than company ld. b) company hd has a higher return on equity than company ld. c) none of the other statements are correct because the information provided on the question is not enough. d) company hd has lower total assets turnover than company ld. e) company hd has a lower operating income (ebit) than company ld

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.