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This module contains the practice final exam for Applied Finite Mathematics.

What will the future value of $5000 be in 5 years at 8% compounded quarterly?

7,429.74

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A bank pays 8% compounded quarterly, what is the effective interest rate?

8.24%

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Each year a sum of $2200 is placed in an IRA account paying 12%. After 10 years what will the final amount be?

38,607.22

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If $5000 is invested at 8% compounded daily for 3 years, find the final amount.

6,356.08

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Find the present value of $200 per month at 12% for 4 years.

7,594.79

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A $12,000 car loan is amortized at 6% over 6 years. Find the monthly payment.

198.87

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In problem 6, what will the balance of the loan be after 4 years?

4,487.08

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If in problem 6, the loan is amortized over 3 years, what will the monthly payment be?

365.06

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A $24,000 car has a useful life of 6 years. It can be leased for $400 per month. If the current interest rate is 6%, is it better to lease or to buy?

buy

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What monthly payment will amount to $10,000 in 5 years at 11%?

125.75

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A bond has a face value of $1000 and is due in 5 years. It pays $45 interest every 6 months. If the current interest rate is 12%, what is the fair market value of the bond?

559 . 39 + 331 . 20 = 889 . 59 size 12{"559" "." "39"+"331" "." "20"="889" "." "59"} {}
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A company produces solar panels. The total cost of 20 panels is $2100, and the cost of 60 panels is $3900. Express the cost y in terms of the number of panels x size 12{x} {} .

y = 45 x + 1200 size 12{y="45"x+"1200"} {}
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For problems 13, 14 and 15, the final tableaux is given below

the final simplex tableau to be used for the following three problems.

If the initial problem is a maximization problem, what is the maximum value?

2500

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If the initial problem is a maximization one, at what point does the maximum value occur?

200 , 400 , 100 size 12{ left ("200","400","100" right )} {}

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If the initial problem is a minimization one, at what point does the minimum value occur?

75 , 5, 90 size 12{ left ("75",5,"90" right )} {}

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At a price of $3, 100 units are demanded of a product. At a price of $5, 50 units are demanded. If x size 12{x} {} is the price and D size 12{D} {} the number of units demanded, write the demand equation.

D = 25 x + 175 size 12{D= - "25"x+"175"} {}

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For problems 17 and 18, use the following system of equations.

2x + 4y = 10 3x + 6y = 15 5x + 10 y = 27 size 12{ matrix { 2x {} # +{} {} # 4y {} # ={} {} # "10" {} ##3x {} # +{} {} # 6y {} # ={} {} # "15" {} ## 5x {} # +{} {} # "10"y {} # ={} {} # "27"{}} } {}

If x = 1 size 12{x=1} {} , what is the value of y size 12{y} {} ?

No solution

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How many solutions does this system have?

None

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Problems 19 - 22 refer to the maximization problem below to be done using the simplex method.

A company makes two types of widgets, Regular and Deluxe. Each type of widget requires the use of three machines for its production. The Regular widget requires three hours on machine I, one hour on machine II, and one hour on machine III, and sells for $10. The Deluxe widget requires one hour on machine I, two hours on machine II, and one hour on machine III, and sells for $20. The maximum number hours available on Machines I, II, and III are 120, 100, and 40, respectively.

What are the coefficients of the objective function?

10, 20

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What is the constraint imposed by Machine III?

x 1 + x 2 40 size 12{x rSub { size 8{1} } +x rSub { size 8{2} }<= "40"} {}

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In solving this problem using the simplex method, how many slack variables are needed?

3

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After the first full pivot operation, what is the current revenue?

800

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A firm produces floppies at a variable cost of $1.20 per disk and a fixed cost of $1800. If the disk sells for $3 each, find the break-even point.

1000 , 3000 size 12{ left ("1000","3000" right )} {}

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Source:  OpenStax, Applied finite mathematics. OpenStax CNX. Jul 16, 2011 Download for free at http://cnx.org/content/col10613/1.5
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