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    ADP Mid Term B.Math 2019

    Uploaded by

    Kashif
    This document contains 5 questions regarding mathematics word problems. Question 1 involves finding market equilibrium points from supply and demand functions, calculating depreciation of a building, and solving systems of equations. Question 2 involves setting up equations to solve for amounts invested in properties with different rates of return given total annual return. Question 3 involves setting up revenue, cost, and profit equations for a bookcase manufacturing company. Question 4 involves matrix multiplication and finding total revenue for different factories. Question 5 involves finding levels of production that yield a specific profit and verifying a solution and finding years when a percentage of income equals a value.

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    ADP Mid Term B.Math 2019

    Uploaded by

    Kashif
    35 views2 pages
    This document contains 5 questions regarding mathematics word problems. Question 1 involves finding market equilibrium points from supply and demand functions, calculating depreciation of a building, and solving systems of equations. Question 2 involves setting up equations to solve for amounts invested in properties with different rates of return given total annual return. Question 3 involves setting up revenue, cost, and profit equations for a bookcase manufacturing company. Question 4 involves matrix multiplication and finding total revenue for different factories. Question 5 involves finding levels of production that yield a specific profit and verifying a solution and finding years when a percentage of income equals a value.

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    ADP Mid term B.Math 2019.docx

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    This document contains 5 questions regarding mathematics word problems. Question 1 involves finding market equilibrium points from supply and demand functions, calculating depreciation of a building, and solving systems of equations. Question 2 involves setting up equations to solve for amounts invested in properties with different rates of return given total annual return. Question 3 involves setting up revenue, cost, and profit equations for a bookcase manufacturing company. Question 4 involves matrix multiplication and finding total revenue for different factories. Question 5 involves finding levels of production that yield a specific profit and verifying a solution and finding years when a percentage of income equals a value.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    35 views2 pages

    ADP Mid Term B.Math 2019

    Uploaded by

    Kashif
    This document contains 5 questions regarding mathematics word problems. Question 1 involves finding market equilibrium points from supply and demand functions, calculating depreciation of a building, and solving systems of equations. Question 2 involves setting up equations to solve for amounts invested in properties with different rates of return given total annual return. Question 3 involves setting up revenue, cost, and profit equations for a bookcase manufacturing company. Question 4 involves matrix multiplication and finding total revenue for different factories. Question 5 involves finding levels of production that yield a specific profit and verifying a solution and finding years when a percentage of income equals a value.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 2

    Q.No.

    1 (4*5)
    a) Find the market equilibrium point for the following demand and supply function
    Demand P=-2q + 320
    Supply P=8q + 2
    b) When an $810,000 building is depreciated for tax purposes (by the straight line method), its
    value, y, after x month of use is given by y =810,000- 2250 x .How many months will it be before the

    building is fully depreciated (That is, its value is$0)?


    c) Solve the equation:
    4 x -2y = 4
    x -2y = -2
    d) Solve the equation:
    3x 1 2 1
      1 (x  )
    4 3 3 6

    Q.No.2 (15)
    A woman has $500,000 invested in two rental properties. One yields a return of 10% on her
    investment, and the other return 12% per year on her investment. Her total annual return from
    the two investments is $53,000.Let x represent the amount of 10% investment and y represent
    the amount of the 12% investment.

    a. Write an equation that states the sum of the investment is 500,000 dollars.
    b. What is the annual return on the 10% investment?
    c. What is the annual return on the 12% investment?
    d. Write an equation that states the sum of the return is $53,000 dollars.
    e. Solve these two equations simultaneously to find how much is invested in each property.
    Q.No.3 (2+8+4+6)
    A company manufactures and sells bookcases. The selling price is 54.90 per book cases. The
    total cost function is linear and cost amount to $50,000 for 2000 bookcases and $32,120 for 800
    bookcases.
    a. Write equation for revenue.
    b. Write the equation for total cost.
    c. Write the equation for profit.
    d. Find the breakeven point.

    Q.No.4 (a) (5+5)

    Find (2A –B) if


    1 3 2  2 5 4 
       
    A   3 2 1  and B   0 3 5 
     4 5 6  1 4 2 
       
    (b) A clothing manufacturer has factories in Atlanta , Chicago, and New York. Sales (In thousands) during
    the first quarter are summarized in the matrix below.

     40 63 18 
     
     85 56 42 
     6 18 8 
     
    coats 
    7108 

    During this period the selling price of a coat was $200, of a shirts $40, of a pair of pants $50, and of a tie
    $30. Use matrix multiplication to find the total revenue received by each factory.

    Q.No.5 (a) If the profit from the sale of x units of a product is P=16 x -0.01 x 2 -100 (4+6)
    What level(s) of production will yields a profit of $ 180?

    (b) Suppose that the percent of total personal income that is used to pay personal taxes is given
    by
    Y=0.034 X2 -0.044x+12.642
    Where is the number of years past 1990?
    a. Verify that X=7 is a solution of 14=0.034 X 2 -0.044x+12.642.
    b. Find the year or years when the percent of total personal income used to pay personal taxes 14.

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