2002 by The Arizona Board of Regents
for The University of Arizona.
All rights reserved.
Business Mathematics II
SOLUTIONS
FOR STUDY GUIDE 1
The following questions explore parts of the material which will be covered on Test 2.
Questions 1-11 refer to th
Question 1
A company has a monopoly on the production and sale of widgets. The demand function for widgets is D(q) = -0.28q +
152 . The company's fixed cost for producing widgets is $7400 , and it costs the company $12.15 in variable costs to
produce each
Question 1
A company has a monopoly on the production and sale of widgets. The demand function for widgets is D(q) = -0.25q +
160 . The company's fixed cost for producing widgets is $6000 , and it costs the company $15.25 in variable costs to
produce each
BusinessMathematicsII
Homework6
for
Math 115b, Sections:
Instructor: Ratnayaka
Due Date:
by
Team:
(Number)
We, the undersigned, affirm that each of us participated fully and equally in the completion of this assignment
and that the work contained herein i
BusinessMathematicsII
Homework5
for
Math 115b, Sections:
Instructor: Ratnayaka
Due Date:
by
Team:
(Number)
We, the undersigned, affirm that each of us participated fully and equally in the completion of this assignment
and that the work contained herein i
BusinessMathematicsII
Homework4
for
Math 115b, Sections:
Instructor: Ratnayaka
Due Date:
by
Team:
(Number)
We, the undersigned, affirm that each of us participated fully and equally in the completion of
this assignment and that the work contained herein i
BusinessMathematicsII
Homework3
for
Math 115b, Sections:
Instructor: Ratnayaka
Due Date:
by
Team:
(Number)
We, the undersigned, affirm that each of us participated fully and equally in the completion of this assignment
and that the work contained herein i
BusinessMathematicsII
Homework2
for
Math 115b, Sections:
Instructor: Ratnayaka
Due Date:
by
Team:
We, the undersigned, affirm that each of us participated fully and equally in the completion of
this assignment and that the work contained herein is origina
BusinessMathematicsII
Homework1
for
Math 115b, Sections:
Instructor: Ratnayaka
Due Date:
by
Team:
We, the undersigned, affirm that each of us participated fully and equally in the completion of this assignment
and that the work contained herein is origina
Question 1
A company has a monopoly on the production and sale of widgets. The demand function for widgets is D(q) =
0.0001q2 0.073q + 210 . The company's fixed cost for producing widgets is $4500 , and it costs the
company $34 in variable costs to produc
Question 1
Use Excel, with h = .00001 , to compute MC(900) for buffalo dinners. Use the cost function C(q) from Slide #42 of the
powerpoint text ( MBD 2 Proj 1.pptx ).
Use at least eight decimal places in all stages of your computation. Only round your re
Question 1
Let X be the continuous random variable with p.d.f. given by :
Use Integrating.xlsm to compute V(X), and round your answer to four decimal places.
Write out the p.d.f. formula using the fractions. Do not convert them to decimals first. (Decimal
Question 1
Let X be a random variable whose p.m.f. is given below :
x
-7
-1
4
12
15
fX(x)
0.20
0.31
0.14
0.10
1 - [0.20 + 0.31 + 0.14 + 0.10]
Use Excel to compute V(X) .
Answer:
Round your answer to the nearest 2 decimal places.
(68.56)
Question 2
Let X b
Business Mathematics II (115B)
STUDY GUIDE 2
The following questions examine parts of the material which will be covered on Test 1.
Questions 1-10 refer to the continuous random variable, X, whose p.d.f. and c.d.f. are
given below.
0 if x < 0
2
x
FX ( x )
Business Mathematics II (MATH 115B)
STUDY GUIDE 1
The following questions explore parts of the material which will be covered on Test 1.
Questions 1-11 refer to the following data. The manager of a small city has records of
the numbers of injury automobil
MAT-115B
Quiz/Test Preparation Worksheet
1. True or False: if marginal revenue is greater than marginal cost, then profit is increasing at that production level.
2. True or False: if marginal revenue equals marginal cost, then profit is zero.
The followin
Question 1
Let X be a normal distribution with X = 69. If P(X > 90) = 0.1330, then what is the value of P( 69 < X < 90 ) ?
Answer:
(0.3670)
Question 2
Let Z be the standard normal distribution. Recall that this means that Z = 0 and Z = 1. What is the valu
Question 1
Let X be a binomial random variable with n = 40 and p = 0.69 . Compute E(X) . Express your answer to the nearest two
decimal places.
Answer:
(27.60)
Question 2
Consolidated Widgets Inc. has a force of 180 salespeople, whose sales performances c
Question 1
A company has a monopoly on the production and sale of widgets. The demand function for widgets is D(q) = -0.23q + 160 . The company's fixed cost for
producing widgets is $7000 , and it costs the company $17.35 in variable costs to produce each
Question 1
Use Excel, with h = .00001 , to compute MC(521) for buffalo dinners. Use the cost function C(q) from Slide #42 of the
powerpoint text ( MBD 2 Proj 1.pptx ).
Use at least eight decimal places in all stages of your computation. Only round your re
Formulas
R(q) = q D(q)
q0 0
P (q ) = R (q ) C (q )
f ( x)
MP(q) = MR(q ) MC (q)
f ( x + h) f ( x h) 2h
S n ( f , [a, b]) = f (mi ) x
i =1 n
D(q) dq q0 D(q0 )
xi = a + i x
mi =
x =
ba n
xi 1 + xi 2
0 1 f X ( x) = b a 0
if x < a if a x b if x > b
if x < 0
Business Mathematics II
Special Team HW
Prepared for
Math 115b, Section _
Instructor :Ratnayaka
University of Arizona
By
Team #
Submitted on
Date: _
We, the undersigned, affirm that we all participated fully and equally in the completion of this assignmen
Data on test markets and costs for a product are given below.
Potential
national
market:
350,000,000
Test Markets
Market
Number
1
2
3
4
5
6
Market Size
144,900
4,627,600
1,049,800
2,946,500
5,042,300
3,617,600
Fixed Cost For
The Year:
Variable Costs
Quant
Project 1-Recommendations
Goals
1. What price should Card Tech put on the drives,
in order to achieve the maximum profit?
2. How many drives might they expect to sell at
the optimal price?
3. What maximum profit can be expected from
sales of the 12-GB?
4.
1) Find the errors
2) Find the WC
3) Find the WB
4) An approximation of the graph of f(a) is given below.
Company 1
4.0
3.0
f (a )
2.0
1.0
0.0
-1.0
-2.0
0
10
20
30
40
50
a
Assuming that all other companies reduce their signals by both the winners curse an
Type
Description
Probability Distribution
Func.
Cumulative Distribution
Func.
Finite
Random
Variable
Finite discrete-it can
take on only finitely
many possible
values (ex: X =
0,1,2, or 3). In this
case you can list all
possible values
Probability mass fu
Project Description
Business Background
Class Project
1
Project 1(Marketing Computer Drives)
Main Goal
Product (Class project)- T/2 Mega
Company(Class project)- Storage
Tech
Determine optimal price & quantity for
a T/2 Mega (new product)
2
Business Ba