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MC Question 20

The following scenario relates to questions 16–20.

Mylo runs a cafeteria situated on the ground floor of a large corporate office block. Each of the five floors of the building are occupied and there are in total 1,240 employees.

Mylo sells lunches and snacks in the cafeteria. The lunch menu is freshly prepared each morning and Mylo has to decide how many meals to make each day. As the office block is located in the city centre, there are several other places situated around the building where staff can buy their lunch, so the level of demand for lunches in the cafeteria is uncertain.

Mylo has analysed daily sales over the previous six months and established four possible demand levels and their associated probabilities. He has produced the following payoff table to show the daily profits which could be earned from the lunch sales in the cafeteria:

Demand level Probability Supply level
450 620 775 960
$ $ $ $
450 0·15 1,170 980 810 740
620 0·30 1,170 1,612 1,395 1,290
775 0·40 1,170 1,612 2,015 1,785
960 0·15 1,170 1,612 2,015 2,496

Mylo is now considering investing in a speciality coffee machine. He has estimated the following daily results for the new machine:

$
Sales (650 units) 1,300
Variable costs (845)
Contribution 455
Incremental fixed costs (70)
Profit
385

20. Which of the following statements are true regarding the sensitivity of this investment?

(1) The investment is more sensitive to a change in sales volume than sales price
(2) If variable costs increase by 44% the investment will make a loss
(3) The investment’s sensitivity to incremental fixed costs is 550%
(4) The margin of safety is 84·6%

A    1, 2 and 3
B    2 and 4
C    1, 3 and 4
D    3 and 4 only