Provide step by step solutions to the following questions.

Question 1 There are 10,000 identical individuals in the market for commodity X, each with a demand function given by Qodx = 12 - 2Px, and 1000 identical producers of commodity X, each with a function given by Qsx = 20 Px. where Qox is an individual's quantity demanded, Qsx is a single producer's quantity supplied, and Px is the price of the commodity. (a) Find the market demand function (QDx) and the market supply function (QSx) for commodity X (b) Determine the market demand schedule and the market supply schedule of commodity X (for whole dollar prices) and from them find the equilibrium price and the equilibrium quantity. (c) Plot, on one set of axes, the market demand curve and the market supply curve for commodity X and show the equilibrium point (d) Obtain the equilibrium price and the equilibrium quantity mathematically. (e) Explain why the equilibrium condition is considered stable. (f) Determine the elasticity of demand for commodity X at the equilibrium point. Question 2 Suppose that from the condition of equilibrium in Question 1, there is an increase in consumers' incomes (ceteris paribus) so that a new market demand curve is given by QDx = 140,000 - 20,000Px. (a) Derive the new market demand schedule (b) Show the new market demand curve on the graph used in Question 1(c) (c) State the new equilibrium price and equilibrium quantity for commodity X (d) Determine the Income Elasticity at the original equilibrium price and at the new equilibrium price. (Assume that the increase in income is 106). (e) In the light of your answer to 2 (d), comment on the nature of commodity X.1. We use the added variable technique to derive the variance ination factor (VIP). Consider a linear model of the form 91' =50+l31$1+l3213922+-"+}3p$a'p+zr, 5'3: 1:"'ana (1) where the errors are uncorrelated with mean zero and variance 02. Let X denote the n X p' predictor matrix and assume X is of full rank. We will derive the VIP for ip. The same derivation applies to any other coefcient simply by rearranging the columns of X. Let U denote the matrix containing the rst p' 1 columns of X and let z denote the the last column of X so that X = [U 2]. Then we can write the model in (1) as 50 x91 Y=[U z](,:J)+t-:=Ua+z6p+e with a: (2) x810. 1 Let 2 denote the vector of tted values from the least squares regression of z on the columns of U (Le. the regression of X.p on all the other variables), and let T : z 2 denote the residuals from that regression. Note that 'r' and 3 are not random, they are constant vectors obtained by linear transformations of z. (a) Show that the regression model in (2) can be rewritten in the form for some constant vector 6 of the same length as a. (Hint: z : i l 'r and 2? = U(UTU)_1UTz). (b) Show that UT? 2 0, a zero vector. (0) Obtain simplied expressions for the least squares estimators of 5 and 5?, showing, in particular, that 5,, : 'rTY/rT'r. (d) Based on Part (c) and the model assumptions, show that 0.2 ELK\"? _ is)? where :Eg-p is the LS tted value from regression X,D on the all the other predictor variables with an intercept. var(,p) : Filling accounting positions, especially at the CPA level, can be a challenge. Until a few years ago, businesses other than the Big 4 firms basically had two options: pest openings on general job platforms such as Monster and Indeed, or go through a staffing agency that charged a hefty fee for finding just the right accounting professional. jeff Phillips, a professional recruiter who previously worked for Monster.com, saw the opportunity to create a job site that caters strictly to accounting and bookkeeping jobs and started Accountingily.com with brothers John and James Hosman. After studying various industries, the founders decided to focus on accounting because of the "massive imbalance" when it came to recruiting for private and public accountants. In their research, the trip found that most of the talent was snapped up by Big 4 accounting firms, leaving other accounting businesses struggling to find the right experienced people to fill key positions. Despite the record number of students currently majoring in accounting, Phillips discovered the number of graduates taking the CPA exam was declining rapidly, signaling to him that people were losing interest in public accounting jobs. He sees Accountingfly as a way to alert job seekers (and companies) about the good jobs available for new and experienced CPAs outside of the four major players in the accounting field. As the accounting talent pool evolves, millennials are looking to make their mark in the industry and tend to look for new jobs with organizations that pay competitive salaries, encourage job flexibility, and offer multiple career opportunities for the long haul. Accountingfly attracts both experienced CPAs and college students to its website by providing job boards, webinars, and virtual career fairs. There are more than one million job seekers and 200.000 user profiles on the website. Recently Accountingfly acquired Going Concern, a leading accounting news website that features original content and an insider's perspective on the people, firms, and culture that shape the accounting profession in this country, According to Phillips, Going Concern has a large, well- informed, highly engaged audience of early-career accountants who could benefit from connecting with accounting firms seeking exceptional talent. Critical Thinking Questions 1. How does the company's focus on recruiting accountants and related services give Accountingfly a competitive advantage? 2. Do you think Accountingfly's approach can compete with the Big 4's expensive and comprehensive recruiting efforts for new accountants? Explain your reasoning. 3. How can Accountingfly use its recent acquisition of Going Concern as a recruiting tool for experienced CPAs who desire a different career track? Provide some examples to support your