1.Three water purification facilities can handle at most 10 million gallons in a certain time period. Plant 1 leaves 20% of certain impurities, and costs P20,000 per million gallons. Plant 2 leaves 15% of these impurities and costs P30,000 per million gallons. Plant 3 leaves 10% impurities and costs P40,000 per million gallons. The desired level of impurities in the water from all three plants is at most 15%. If Plant 1 and Plant 3 combined must handle at least 6 million gallons, find the number of gallons each plant should handle so as to achieve the desired level of purity at minimum cost.

Decision variables:

X1 = the number of million gallons of water from Plant 1

X2 = the number of million gallons of water from Plant 2

X3 = the number of million gallons of water from Plant 3

LP Model

Min 20000X1 + 30000X2 + 40000X3

Subject to:

X1 +X2 +X3

.2X1 + .15X2 + .1X3

X1+X3 >=6

X1, X2, X3 >=0

2. A marketing research group conducting a telephone survey must contact at least 150 wives and 120 husbands. It costs P100 to make a daytime call and (because of higher labor costs) P150 to make an evening call. On average, daytime calls reach wives 30% of the time, husbands 10% of the time, and neither of these 60% of the time, whereas evening calls reach wives 30% of the time, husbands 30% of the time, and neither of these 40% of the time. Staffing considerations mean that daytime calls must be less than or equal to half of the total calls made. How many should be interviewed at each period to minimize the cost of completing the survey?

Question 1 aj Jane bought 1 bottle of seaweed-based shampoo. She gave the bottle to her sister, Jill, After using the shampoo Jill discovered to her horror that her hair, which was usually healthy, was starting to fall out and that she had contracted a skin rash on her neck. Analysis reveals that the shampoo in fact contained small amounts of harmful chemicals. Advise Jill whether she can take action against the manufacturer, Tulin Products Son Bhd. 30 marks1:04 Question 6 Not yet answered Marked out of 0.50 What is meant by the term 'quorum?' Select one: A. A 'quorum' refers to the minimum number of 'qualifying persons' required in order to validly conduct business at a O meeting. B. A 'quorum' refers to a meeting that is invalid because sufficient notice has not O been provided. C. A 'quorum' refers to the maximum number of persons who may attend a O meeting. D. A 'quorum' refers to a meeting that lacks a chairperson. O Clear my choice AThe Big 4 accounting rms dominate the audit and tax market in the USA. Of the charts listed below, which would you use to show which accounting firm dominates in each state of the USA in terms of audit revenues, and which would you not use? Area Chart Line Chart Column Chart Histogram Bubble Chart Stacked Column Chart Stacked Area Chart Pie Chart Waterfall Chart Symbol Chart 3.1 Within a lease agreement an important principle exists protecting the right of the tenant to use and enjoyment of the leased property in the event of a change in ownership. Elaborate on this principle and its implications. (10) 3.4 Itemize the types of Intellectual Property recognised in South African legislation today. (8)