Subject: QUANTITATIVE METHODS

Note: Please write from computer or laptop (easy to copy paste)

1-A student is investigating the relationship between the price (y dollars) of 100 mg of chocolate and the percentage (x %) of cocoa solids in the chocolate. The following data is obtained. (15 Marks) 3 7 9 12 14 X1% Cocoa) Y (Dollars) 5 6 8 10 14 16 a- Find the least square regression line in the form y = a + bx. ( 12 Marks) b- Use your line as a model to estimate the price of the chocolate if the percentage (x %) of cocoa solids in the chocolate is 28. (3 Marks) 2- An office has four workers, and four tasks have to be performed. Workers differ in efficiency and tasks differ in their intrinsic difficulty. Time each worker would take to complete each task is given in the effectiveness matrix. How the tasks should be allocated to each worker so as to minimize the total man-hour? (15 Marks) PROJECT EMPLOYEE 1 2 3 4 Ahmed 77 83 63 92 Hussam 65 32 44 91 Khalid 20 65 10 83 Yousif 12 21 98 27