CHAPTER 17 ADDITIONAL EXERCISES
1. A manufacturer has determined a cost function that expresses the annual
cost of purchasing, owning and maintaining its raw material inventory as a
function of the size of each order. The cost function is
C = 625,000/ q
+
Chapter 16, Additional Exercises
For the following exercises, locate all points of zero slope and determine the nature of each
point.
1. f(x) = 5x2 - 40x + 10
Answer: Relative minimum when x = 4
2. f(x) = 10x3 - 25
Answer: Inflection point when x = 0
3. f
Chapter 10, Additional Exercises
1.
Solve the following linear programming problem using the corner point method.
Maximize z = 6x1 + 2x2
s.t.
x1 + x2 10
2x1 + x2 16
x1, x2
0
Ans. z maximized at 48 when x1 = 8 and x2 = 0
2.
Solve the following linear prog
Chapter 8
Mathematics of Finance
1. If $50,000 is invested in a savings account paying interest of 10% per year,
compounded semi-annually, and the money is invested for 8 years, determine
(a) the compound amount and (b) the interest earned on the investme
Chapter 7, Additional Exercises
1. An investment of $250,000 is made which earns interest at the rate of 15
percent per year. If interest is compounded continuously, determine (a) the
exponential function which states the compound amount, S, as a function
Chapter 6, Additional Exercises
1. Determine the quadratic function that describes the parabola passing through
(0, -5), (5, 20) and (-5,20).
Answer: y = f(x) = x2 5
2. Determine the quadratic function that describes the parabola passing through
(0, 10),
Chapter 5, Additional Exercises
1.
A firm sells a product for $45 per unit. Variable costs per unit are $33 and
fixed costs equal $450,000. How many units must be sold in order to break
even?
Ans. 37,500 units
2. A product sells for $25 per unit. Variable
Chapter 3, Additional Exercises
1.
Solve the following system of equations.
-2x + 5y = 24
3x - 2y = -14
Ans. x = -2, y = 4
2.
Solve the following system of equations.
2x - 3y = 16
-x + 4y = -13
Ans. x = 5, y = -2
3. Solve the following system of equations