Please help me solve the following questions on the attachments bellow.
Assume that aggregate demand curve can be expressed by the following function: W = 55 - 3Q. while the aggregate supply curve can be expressed by the following function: W = 5+7Q. Here W denotes wage level in thousand dollar and Q denotes unit of labours in million people. a. What is labour equilibrium wage level and units oflabour? (5 marks) b. Draw the demand curve and supply curve in one diagram. (5 marks) c. Explain three factors to result in shift of demand curve and three factors to result in shift of supply curve in detail. (12 marks) d. Suppose engineering industry experienced large demand of product and thus hiring lots of people in labour market; however, there are no sufficient amount of labour force in the market. Please explain how will market respond to this labour shortage in short run and long run by applying Cobweb Model. (The combination of words and diagram will be preferable.) (18 marks)6. (8 pt) The balance sheet for Levy Corp. is shown below. There are 80 mm shares outstanding. Ignore taxes. Market Value Balance Sheet (in $mm) Liabilities and Shareholders' Assets: Equity: Cash 200 Debt 100 Fixed assets 300 Equity 400 Total 500 Total 500 (1) (3 pt) If the company declares a dividend of $1 per share, (a) what will the company's stock sell for on the ex-dividend day? (1 pt) (b) What are the cash balance and equity market value after the dividends are paid? (2 pt) (ii) (5 pt) If the company decides to repurchase $100 mm worth of stock instead of paying a dividend of $1 per share, (a) what will be the company's stock price after the share repurchase? (1 pt) (b) What are the cash balance and equity market value after the share repurchase? (2 pt) (c) What is the number of shares outstanding after the share repurchase? (2 pt)1. (8 Points) Consider the quadratic regression problem: Yi = Bo + BIXi + B2X? + ci. Suppose that we have 4 observations (Y1, X1), (Y2, X2), (Y3, X3), (Y4, X4) and they take values (1, 1), (0, 2), (6, 3), (7, 4). The matrix representation of this model is Y = XB + E. Then Y = (1, 0, 6, 7)T, B = (Bo, B1, B2)], and E = (61, (2, (3, EA) T. Answer the following questions with your explanation. (a) What is X in this case? (b) Calculate 3 = (XTX)-1XTY. (c) Find all the eigenvalues of XTX. (d) Is XX positive definite?Problem 1 (10 Points) Halpern Corporation is authorized to issue 1,000,000 shares of $3 par value common stock. During 2015, its first year of operation, the company has the following stock transactions. Jan. 1 Paid the state $5,000 for incorporation fees. Jan. 15 Issued 500,000 shares of stock at $6 per share. Jan. 30 Attorneys for the company accepted 500 shares of common stock as payment for legal services rendered in helping the company incorporate. The legal services are estimated to have a value of $7,000. July 2 Issued 100,000 shares of stock for land. The land had an asking price of $900,000. The stock is currently selling on a national exchange at $8 per share. Sept. 5 Purchased 15,000 shares of common stock for the treasury at $8 per share. Dec. Sold 11,000 shares of the treasury stock at $11 per share. Instructions Indicate the accounts that are increased and/or decreased in the above transactions for Halpern Corporation
