AIOU Course Code 1429-2 Solved Assignment Spring 2022

B.A Solved Assignment Spring 2022

Course: Business Mathematics (1429)

DOWNLOAD BUTTON IS GIVEN AT THE END OF POST

Semester: Spring, 2022

ASSIGNMENT No. 2

  1. 1

(a)    An economy depends on two basic products, wheat and oil. To produce 1 metric ton of wheat requires .25 metric tons of wheat and .33 metric tons of oil. Production of 1 metric ton of oil consumes .08 metric tons of wheat and .11 metric tons of oil. Find the production that will satisfy a demand of 500 metric tons of wheat and 1000 metric tons of oil.

(b)    Given the matrices: ,  ,   . Verify the following statements:

  1. i) (PX)T = P(XT) (Associative Property)

PX(T) =

P(XT)=

https://wa.me//+923038507371
  1. ii) P(X + T) = PX + PT (Distributive Property)

P(X + T) =

PX + PT =

PX + PT =

  1. 2

(a)    Determine the inverse of   by using the matrix of cofactor approach.

(b)    Solve the given system of equations by using Cramer’s rule.

x1 – 4x2 + x3 = 12

7x1  –6x3  = 18

2x2 + 5x3 = 7

  1. 3

(a)    Find the following limits:                                                                                 

  1. i)
  2. ii)

iii)    

(b)    Living standards are defined by the total output of goods and services divided by the total population. In the United States during the 1980s, living standards were closely approximated by

Where x=0 corresponds to 1981. Find the derivative of f. Use the derivative to find the rate of change in living standards in the following years.

  • 1981

x = 0

f(x) = 11.6

  • 1988

f’(x) =

x = 0

f’(x) = -0.4

  • 1989

f’’(x)

x = 0

f’’(x) = 0.6

  • 1990

f’’’(x) = – 69 /500 = -0.138

  • What do your answers to part (i) – (iv) tell you about living standards in those years?

From above result, 1981 is best for living standards.

  1. 4

(a)    Find critical points of the given functions. Use second derivate test on each critical point to determine whether it leads to a relative maximum or minimum.

f(x) = x4, –32x2 + 7

(b)    Determine the location and values of the absolute maximum and absolute minimum for the given function.

f(x) = (–x + 2)4, where 0 £ x £ 3

  1. 5

(a)    Find fx ,  fy , fz , fyx , fxz , fzy , fy , (2, –1, 3), fyz, (–1, 1, 0). if                             

f(x, y, z) =           

fx =

fy =

fz =

fyz =

fyx =

fzy =

(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.

Basically fx and fy represents the marginal labour cost and marginal cost of materials respectively. fx and fy are calculated by taking partial derivatives of z.

Related Articles

Leave a Reply

Your email address will not be published. Required fields are marked *

Back to top button
error: Content is protected ! click on any one google Ads to copy meterial
Chat On Whatsapp
1
Scan the code
Hello!
How Can I Help You
//
Muhammad Usman
04:00 PM- 07:00 AM
//
Muhammad Rizwan
07:00 AM-04:00 PM
Chat On Whatsapp

AdBlocker Dectected

Please turn off Ad Blocker and refresh the page