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Marginal revenue, shown graphically is the.....


The consumption of chicken changes from 10kg per month to 5kg per month due to salary increase of R500 from R2000 initially received monthly. What is the income elasticity of the demand for chicken?


Suppose that equilibrium price in this market were to REMAIN at P2 while equilibrium quantity INCREASES to Q4. Which of the following could account for such a change?



1.an increase in income, assuming this is a normal good.



2.an increase in the price of a complement combined with an increase in the price of a factor of production.



3.an increase in the price of a substitute combined with a technological innovation reducing production costs.



4.an increase in the price of a complement combined with a decrease in the price of a factor of production.

A firm demand curve is P =1-2Q. The firm has a current price of R1000 and it sells 100 units per day. What is the firms price elasticity of demand?


for small uncertainty in the measurement of position of a particle, the wavelength of the incident light should be :


Small


Large


Average


Doesn't depend on wavelength

An open flat belt is to transmit 8 kW. The small pulley has a diameter of 175 mm and rotates at 810 r/min, whilst the large pulley runs at approximately 250 r/min. Both pulleys have a width of 110 mm. The centre distance between the pulleys is 800 mm. Assume a factor of safety of eight (8) and an ultimate tensile stress for the flat belt material of 20 MPa. Assume ยต = 0.35.


for small uncertainty in the measurement of position of a particle, the wavelength of the incident light should be :



Small



Large



Average



Doesn't depend on wavelength

Solve for the determinant in the equation below(10marks)

1.7.1

"\\begin{matrix}\n 4 & -3 & 2 \\\\\n 1 & 2 &-2 \\\\\n 2 & -1 & -4\\\\\n\n\\end{matrix}"

1.7.2.

"\\begin{matrix}\n 2 & -2 & 1 \\\\\n 2 & 2 & 1\\\\\n 4 & 1 & 3 \\\\\n\\end{matrix}"


A fair coin tossed 400 times.If X is the number of heads obtained, find the expected value and variance of X

1.5 Solve the equation below using Inverse method (10 marks)

"\\begin{bmatrix}\n 1 & 3 & 0 \\\\\n 0 & 0.5 & 1\\\\\n0.05 & 0 & 1\\\\\n\n \\end{bmatrix}" "\\begin{bmatrix}\n x \\\\\n y\\\\\nz\\\\\n\\end{bmatrix}" ="\\begin{bmatrix}\n 4 \\\\\n 1\\\\\n3\\\\\n\\end{bmatrix}"


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