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The following transactions of Hector Limited took place during January 2022 in respect of component J used in production:

  • Stock of component J on hand - 150 units @ R24 per unit
  • Issued to production - 110 units
  • Purchased from supplier - 200 units @ R25 per unit
  • Returned to supplier (purchased on 12 January 2022) - 30 units
  • Issued to production - 170 units
  • Purchased from supplier - 140 units @ R26 per unit
  • Issued to production - 130 units


Calculate the value of closing inventory on 31 January 2022 using the:

  1. First-in-first-out (FIFO) method
  2. Weighted Average Cost Method







A researcher claims that the mean monthly consumption of coffee per person is more than 19 cups. In a sample of 60 randomly selected people, the mean monthly consumption was 20. The standard deviation 10 of the sample was 4 cups. Which is the parameter to be tested in this claim? *


A population consist of three numbers (3,4,7).Consider all possible samples of size 2 which can be drawn from the population.Find the variance of the sampling distribution of the sample means

Sara likes consume Bananas (X) and Mangoes (Y). The cost of banana is birr 2 and that of Mango is bírr 4. Sara's monthly budget for these fruit is birr 100 and her utility function is U(X,Y) = X ^ 2 * Y ^ 1/2,Then calculate Utility maximizing units of Bananas and Mangoes.

Write a detail note on applications of Differential Equation

Applications of Partial Differential Equation

Applications of Non-Homogeneous Differential Equation

Find the limit of the following functions using the tabular method.


  1. lim    x2+x-6x+3/ x+3

𝑥→−3


  1. lim x2-2x+3/ x+1   

𝑥→−1






A population consists of N=5, as follows: 4, 8, 12, 16, and 20. Estimate the population mean using


random variable of size n=3.

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