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​

You decide that structural changes must be made at holden evans immediately to deal with the additional product lines. equipment and employees will have to be moved around to optimize production of all of the products in house. this shouldn't be too difficult because many of the vitamins and supplements are produced using similar processes. you have several options available to facilitate this process. which of the following methods do you think is the best choice? select an option from the choices below and click submit. because the changes may result in the loss of several key employees, you hire outside consultants who specialize in hr law. this way any employee terminations will not result in lawsuits. you select an outside consulting firm that your company has never worked with before, but it has a reputation for using new technology in product lines that are similar to yours. you select several trusted managers to facilitate the transition of operations from overseas. these individuals can gather information and also smooth any rough spots that may occur.

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

What is the difference between total utility and marginal utility? a. marginal utility is subject to the law of diminishing marginal utility while total utility is not. b. total utility represents the consumer optimum while marginal utility gives the total utility per dollar spent on the last unit. c. total utility is the total amount of satisfaction derived from consuming a certain amount of a good while marginal utility is the additional satisfaction gained from consuming an additional unit of the good. d. marginal utility represents the consumer optimum while total utility gives the total utility per dollar spent on the last unit.