Q1 (a) As part of an investigation into levels of overtime working, a company decides to tabulate the number of orders received weekly and compare this with the total weekly overtime worked to give the following Week
1
2
3
4
5
6
7
8
9
10

Orders received
83
22
107
55
48
92
135
32
67
122

Total overtime
38
9
42
18
11
30
48
10
29
51

Using the method of least squares obtain the regression equation of total overtime on orders received and predict the level of total overtime necessary for 100 orders (7 marks)
(b) As a result of tests of 20,000 electric bulbs manufactured by a company it was found that lifetime of the bulbs are normally distributed with an average life of 2040 hours and standard deviation of60 hours. On the basis of the information, estimate the number of bulbs expected to burn for;
(i) More than 2150 hours
(ii) Less than 1960 hours​

Employees of dti, inc. worked 1,600 direct labor hours in january and 1,000 direct labor hours in february. dti expects to use 18,000 direct labor hours during the year, and expects to incur $22,500 of worker’s compensation insurance cost for the year. the cash payment for this cost will be paid in april. how much insurance premium should be allocated to products made in january and february?

He aldermanalderman company has prepared a sales budget of 42 comma 00042,000 finished units for a 3-month period. the company has an inventory of 10 comma 00010,000 units of finished goods on hand at december 31 and has a target finished goods inventory of 11 comma 00011,000 units at the end of the succeeding quarter. it takes 44 gallons of direct materials to make one unit of finished product. the company has inventory of 64 comma 00064,000 gallons of direct materials at december 31 and has a target ending inventory of 53 comma 00053,000 gallons at the end of the succeeding quarter. how many gallons of direct materials should aldermanalderman company purchase during the 3 months ending march 31? select the labels and enter the amounts to calculate the direct materials (gallons) to be purchased.

Neveready flashlights inc. needs $317,000 to take a cash discount of 3/15, net 70. a banker will loan the money for 55 days at an interest cost of $13,200. a. what is the effective rate on the bank loan? (use a 360-day year. do not round intermediate calculations. input your answer as a percent rounded to 2 decimal places.) b. how much would it cost (in percentage terms) if the firm did not take the cash discount but paid the bill in 70 days instead of 15 days? (use a 360-day year. do not round intermediate calculations. input your answer as a percent rounded to 2 decimal places.) c. should the firm borrow the money to take the discount? no yes d. if the banker requires a 20 percent compensating balance, how much must the firm borrow to end up with the $317,000? e-1. what would be the effective interest rate in part d if the interest charge for 55 days were $7,200?