Answer the following questions on linear programming (use the class notes to review the concepts).1. a manager has formulated the following lp problem. draw the graph and find the optimal solution. (in each, all variables are )maximize: 10x+15y, subject to 2x+5y ≤ 40 and 6x+3y ≤ 48.2. an athlete carefully watches her intake of calcium, protein, and calories. her breakfast diet consists mainly of milk and cereal, whose prices andnutrient contents appear in the following table: milk (1 oz.) cereal (1 oz.)calcium22protein26calories62pri ce$.10$.15she seeks a diet that supplies at least 50 units of calcium, 90 units ofprotein, and 66 calories at minimum cost. a. formulate, graph, and solve this decision problem. what is theminimum cost of meeting the nutrient requirements? (9)b. if the calcium requirement is increased by a small amount, say 4 units to 54, then find the new solution and the shadowprice associated with calcium.(3)

Suppose an economist believes that the price level in the economy is directly related to the money supply, or the amount of money circulating in the economy. the economist proposes the following relationship: p=a x m - p=price level - m=money supply - a=a composite of other factors, including real gdp, that change very slowly over time. how might an economist gather empirical data to test the proposed relationship between money and the price level? an economist would persuade the federal reserve to change the money supply to various levels, and observe the resulting changes in the price level. unlike researchers in the hard sciences, economists cannot study complex relationships using data. economists do not usually develop theoretical models of the economy but only analyze summary statistics about the current state of the economy. an economist would look for data on past changes in the money supply, and note the resulting changes in the price level

Exercise 15-7 crawford corporation incurred the following transactions. 1. purchased raw materials on account $53,000. 2. raw materials of $45,200 were requisitioned to the factory. an analysis of the materials requisition slips indicated that $9,400 was classified as indirect materials. 3. factory labor costs incurred were $65,400, of which $50,200 pertained to factory wages payable and $15,200 pertained to employer payroll taxes payable. 4. time tickets indicated that $55,000 was direct labor and $10,400 was indirect labor. 5. manufacturing overhead costs incurred on account were $81,700. 6. depreciation on the company’s office building was $8,100. 7. manufacturing overhead was applied at the rate of 160% of direct labor cost. 8. goods costing $89,400 were completed and transferred to finished goods. 9. finished goods costing $76,000 to manufacture were sold on account for $105,100. journalize the transactions. (credit account titles are automatically indented when amount is entered. do not indent manually.) no. account titles and explanation debit credit (1) (2) (3) (4) (5) (6) (7) (8) (9) (to record the sale) (to record the cost of the sale) click if you would like to show work for this question: open show work

Win goods inc. is a large multinational conglomerate. as a single business unit, the company's stock price is estimated to be $200. however, by adding the actual market stock prices of each of its individual business units, the stock price of the company as one unit would be $300. what is win goods experiencing in this scenario? a. diversification discount b. learning-curveeffects c. experience-curveeffects d. economies of scale