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Explain how the fundamental economic problem is addressed in a planned economy and in a





market economy

Create a program that computes the perimeter of a square, rectangle and the circumference of a circle using interface using Abstraction


Create a program that implements the concept of abstract methods and classes. Decide which class to use to properly illustrate your solution.


Create a program that implements at least 4 combination of method overriding and overloading. Decide which class to use to properly illustrate your solution.


Suppose that a consumer consumes only two products namely Beer and

Hamburgers. The price of Beer is R40 and the price of Hamburgers R120. The

consumer receives a monthly income of R1200.

8.1. Based on the information regarding the price of the two products

consumed by and the monthly income of the consumer, graphically

illustrate the consumers budget line. Let Beer be on the Y-axis and

Hamburgers on the X-axis. Marks will be allocated for the calculated value

of the points of intersection. (4)

8.2. Illustrate by aid of a graph how the budget line will If the price of

Hamburgers decreases from R120 to R100.


Quantitative analysis student Kenny Duit analyzed an ore sample for its copper content and obtained a mean of 4.67% Cu for three measurements. How many additional measurements must Kenny make to obtain a mean that is five times more reliable?

Indicate which of the following are determinate and which are indeterminate errors.



(a) A hygroscopic sample is not dried in the oven prior to weighing.



(b) A buret reading of 28.43 ml. is written down as 28.34 ml..



(c) The bottom of the meniscus in a buret is estimated to be at the zero-milliliter mark but


in fact is very slightly below this mark.



(d) The liquid in a 10-ml. TD (to deliver) pipet is blown out by mouth.



(e) The rest point of a meter needle, oscillating due to some desktop vibration, is estimated incorrectly.

The thin-walled single cell beam shown in Figure has been idealized into a combination of


direct stress carrying booms and shear stress only carrying walls. If the section supports a vertical


shear load of 10 kN acting in a vertical plane through booms 3 and 6, calculate the distribution of


direct stress around the section.

The following pH data were collected in the analysis of water from an upstate New York lake as part of an acid rain study: 4.17, 4.20, 4.19, 4.23, 4.22, 4.14, 4.20, and 4.15. Calculate the following.



(a) mean


(b) median


(c) percent average deviation


(d) percent standard deviation

Find Matrix Chain multiplication for following four matrices (M1, M2, M3 and M4) using dynamic programming Technique. 

Matrix M1 M2 M3 M4

Order of Matrix 4 x 3 3 x 5 5 x 2 2 x 6


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