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Assignment_2_Q.5(b)_Autumn 2022_Business Mathematics _1429/5405
Allama Iqbal Open University
Business Mathematics 5405/1429
Solved assignment No. 02
Question no. 05(b)
Semester Autumn 2022
ASSIGNMENT No. 2
(Units: 5–9)
Q. 1 (a) Solve the system of linear equation using matrices: (12+8=20)
X+ 2y– 3z = 1
2x – y + z = 2
x – z = 3
(b) Can we multiply any two matrices. Explain
Q. 2 The transition matrix of annual shifts in population within three provinces of a country is given by:
i. Determine whether the population will attain an equilibrium condition.
ii. Find the relative population shares of the three provinces. (8+12=20)
Q. 3 (8+12=20)
Q. 4 (a) Determine the location of all critical points and determine their nature for the function. (12+8=20)
(i) f(x) = – 100e–0.25x – 50x
(b) Given the demand function
i. Determine the partial derivatives fp1 and fp2
ii. If p1 = 20 and p2 =10, evaluate fp1 and fp2 and interpret their meaning.
Q. 5 (a) Find fx, fy, fz, fyx, fxz, fzy, fy, (2, –1, 3), fyz, (–1, 1, 0). if (12+8=20)
f(x, y, z) =
(b) Suppose z = f (x, y) describes the cost to build a certain structure, where x represents the labor costs and y represents the cost of materials. Describe what fx and fy represent.

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#Q. 5 (a) #Average #Starting #salaries #for #students #majoring #in #business #have #been #increasing. #The #equation #which #predicts #average #starting #salary #is #s = 20,250 + 1,050t #where s #equals #average #starting #salary #and #t #is #time #measured #in #years #since #1990 (t=0) (20)
i. #Identify #the #s #and #t #intercepts #for #this #equation.
ii. #Intercepts #these #values #where #they #are #meaningful

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