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A university is trying to decide whether or not to advertise a new post-graduate degree programme. The number of students starting the programme is dependent on economic conditions. If conditions are poor, it is expected that the programme will attract 40 students without advertising. There is a 60% chance that economic conditions will be poor. If economic conditions are good it is expected that the programme will attract only 20 students without advertising. There is a 40% chance that economic conditions will be good.

If the programme is advertised and economic conditions are poor, there is a 65% chance that the advertising will stimulate further demand and student numbers will increase to 50. If economic conditions are good, there is a 25% chance the advertising will stimulate further demand and numbers will increase to 25 students.

The profit expected, before deducting the cost of advertising, at different levels of student numbers are as follows:

Information about a company's only two products is as follows:

The revenue from the products must be in the constant mix of 2U:3V. Budgeted monthly sales revenue is $110,000.
Fixed costs are $23,095 each month.
To the nearest $10, what is the budgeted monthly margin of safety in terms of sales revenue?

Two products being produced by a company require the same material which is limited to 2,600 kgs.

What is the optimal production plan?

A company is preparing its annual budget and is estimating the number of units of Product A that it will sell in each quarter of year 2. Past experience has shown that the trend for sales of the product is represented by the following relationship:

y = a + bx where

y = number of sales units in the quarter a = 10,000 units b = 3,000 units x = the quarter number where 1 = quarter 1 of year 1

Actual sales of Product A in Year 1 were affected by seasonal variations and were as follows:

Quarter 1:14,000 units Quarter2: 18,000 units Quarter 3: 18,000 units Quarter 4: 20,000 units

Calculate the expected sales of Product A (in units) for each quarter of year 2, after adjusting for seasonal variations using the additive model.