Practical Business Math Procedures
12th Edition
ISBN: 9781259540554
Author: Jeffrey Slater, Sharon Wittry
Publisher: McGraw-Hill Education
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Chapter 3.1, Problem 8PQ
To determine
To convert: The number 0.819 to decimal fraction.
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use Lagrange multipliers to solve
Suppose a Cobb-Douglas Production function is given by the following:
P(L,K)=80L0.75 K-0.25
where L is units of labor, K is units of capital, and P(L, K) is total units that can be produced with this
labor/capital combination. Suppose each unit of labor costs $400 and each unit of capital costs $1,600.
Further suppose a total of $384,000 is available to be invested in labor and capital (combined).
A) How many units of labor and capital should be "purchased" to maximize production subject to your
budgetary constraint?
Units of labor, L =
Units of capital, K =
B) What is the maximum number of units of production under the given budgetary conditions? (Round your
answer to the nearest whole unit.)
Max production =
units
Suppose a Cobb-Douglas Production function is given by the function: P(L, K) = 7L0.0 K0.4
Furthemore, the cost function for a facility is given by the function: C(L, K) = 100L +400K
Suppose the monthly production goal of this facility is to produce 15,000 items. In this problem, we will
assume L represents units of labor invested and K represents units of capital invested, and that you can
invest in tenths of units for each of these. What allocation of labor and capital will minimize total
production Costs?
Units of Labor L =
Units of Capital K =
(Show your answer is exactly 1 decimal place)
(Show your answer is exactly 1 decimal place)
Also, what is the minimal cost to produce 15,000 units? (Use your rounded values for L and K from above
to answer this question.)
The minimal cost to produce 15,000 units is $
Hint:
1. Your constraint equation involves the Cobb Douglas Production function, not the Cost function.
2. When finding a relationship between L and K in your system of equations,…
Chapter 3 Solutions
Practical Business Math Procedures
Ch. 3.1 - Write the following as a decimal number.
Four...Ch. 3.1 - Prob. 2PQCh. 3.1 - Prob. 3PQCh. 3.1 - Prob. 4PQCh. 3.1 - Prob. 5PQCh. 3.1 - Prob. 6PQCh. 3.1 - Convert the following to decimals:
Ch. 3.1 - Prob. 8PQCh. 3.1 - Prob. 9PQCh. 3.1 - Convert the following to decimal fractions (do not...
Ch. 3.1 - Prob. 11PQCh. 3.1 - Prob. 12PQCh. 3.1 - Prob. 13PQCh. 3.1 - Prob. 1EPQCh. 3.1 - Prob. 2EPQCh. 3.1 - Prob. 3EPQCh. 3.1 - Prob. 4EPQCh. 3.1 - Prob. 5EPQCh. 3.1 - Prob. 6EPQCh. 3.1 - Prob. 7EPQCh. 3.1 - Prob. 8EPQCh. 3.1 - Prob. 9EPQCh. 3.1 - Prob. 10EPQCh. 3.1 - Prob. 11EPQCh. 3.1 - Prob. 12EPQCh. 3.1 - Prob. 13EPQCh. 3.1 - Prob. 1AHCh. 3.1 - Prob. 2AHCh. 3.1 - Prob. 3AHCh. 3.1 - Prob. 4AHCh. 3.1 - Prob. 5AHCh. 3.1 - Prob. 6AHCh. 3.1 - Prob. 7AHCh. 3.1 - Bill Breen earned $1,555, and his employer...Ch. 3.1 - At the local college, .566 of the students are...Ch. 3.1 - Prob. 10AHCh. 3.1 - Prob. 11AHCh. 3.1 - Prob. 12AHCh. 3.1 - Michael Sullivan was planning his marketing...Ch. 3.1 - Prob. 14AHCh. 3.2 - Rearrange vertically and add:
14, .642, 9.34,...Ch. 3.2 - Prob. 2PQCh. 3.2 - Prob. 3PQCh. 3.2 - Prob. 4PQCh. 3.2 - Prob. 5PQCh. 3.2 - Complete by the shortcut method:
9,680÷1,000
Ch. 3.2 - Prob. 7PQCh. 3.2 - Prob. 8PQCh. 3.2 - Prob. 9PQCh. 3.2 - Prob. 10PQCh. 3.2 - Prob. 1EPQCh. 3.2 - Prob. 2EPQCh. 3.2 - Prob. 3EPQCh. 3.2 - Divide and round to the nearest hundredth:
3,824 ÷...Ch. 3.2 - Prob. 5EPQCh. 3.2 - Prob. 6EPQCh. 3.2 - Prob. 7EPQCh. 3.2 - Prob. 8EPQCh. 3.2 - Prob. 9EPQCh. 3.2 - Round to the nearest cent as needed:
A trip to...Ch. 3.2 - Prob. 1AHCh. 3.2 - Prob. 2AHCh. 3.2 - Prob. 3AHCh. 3.2 - Prob. 4AHCh. 3.2 - Prob. 5AHCh. 3.2 - Prob. 6AHCh. 3.2 - Jeanne Allyn purchased 12.25 yards of ribbon for a...Ch. 3.2 - Prob. 8AHCh. 3.2 - Prob. 9AHCh. 3.2 - Prob. 10AHCh. 3.2 - Prob. 11AHCh. 3 - Prob. 1ECPCh. 3 - Identify the place value for the following:
Ch. 3 - Prob. 3ECPCh. 3 - Prob. 4ECPCh. 3 - Prob. 5ECPCh. 3 - Prob. 6ECPCh. 3 - Prob. 7ECPCh. 3 - Round the following as indicated: LU...Ch. 3 - Prob. 9ECPCh. 3 - Prob. 10ECPCh. 3 - Convert the following types of decimal fractions...Ch. 3 - Convert the following types of decimal fractions...Ch. 3 - Convert the following types of decimal fractions...Ch. 3 - Convert the following types of decimal fractions...Ch. 3 - Prob. 15ECPCh. 3 - Prob. 16ECPCh. 3 - Prob. 17ECPCh. 3 - Prob. 18ECPCh. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following to mixed numbers. Do not...Ch. 3 - Convert the following to mixed numbers. Do not...Ch. 3 - Prob. 28ECPCh. 3 - Prob. 29ECPCh. 3 - Prob. 30ECPCh. 3 - Write the decimal equivalent of the following: LU...Ch. 3 - Prob. 32ECPCh. 3 - Rearrange the following and add: LU 3-2(1)
115,...Ch. 3 - Prob. 34ECPCh. 3 - Prob. 35ECPCh. 3 - Prob. 36ECPCh. 3 - Prob. 37ECPCh. 3 - Prob. 38ECPCh. 3 - Prob. 39ECPCh. 3 - Prob. 40ECPCh. 3 - Prob. 41ECPCh. 3 - Prob. 42ECPCh. 3 - Prob. 43ECPCh. 3 - Prob. 44ECPCh. 3 - Prob. 45ECPCh. 3 - Prob. 46ECPCh. 3 - Divide the following and round to the nearest...Ch. 3 - Prob. 48ECPCh. 3 - Prob. 49ECPCh. 3 - Prob. 50ECPCh. 3 - Prob. 51ECPCh. 3 - Prob. 52ECPCh. 3 - Prob. 53ECPCh. 3 - Complete these multiplications and divisions by...Ch. 3 - Prob. 55ECPCh. 3 - Prob. 56ECPCh. 3 - Prob. 57ECPCh. 3 - Prob. 58ECPCh. 3 - Prob. 59ECPCh. 3 - Prob. 60ECPCh. 3 - Prob. 61ECPCh. 3 - Prob. 62ECPCh. 3 - WORD PROBLEMS
As needed, round answers to the...Ch. 3 - Prob. 64ECPCh. 3 - Prob. 65ECPCh. 3 - Prob. 66ECPCh. 3 - As needed, round answers to the nearest cent.
The...Ch. 3 - Prob. 68ECPCh. 3 - As needed, round answers to the nearest cent.
Mark...Ch. 3 - Prob. 70ECPCh. 3 - As needed, round answers to the nearest cent.
Bob...Ch. 3 - Prob. 72ECPCh. 3 - Prob. 73ECPCh. 3 - Prob. 74ECPCh. 3 - As needed, round answers to the nearest cent.
Paul...Ch. 3 - Prob. 76ECPCh. 3 - Prob. 77ECPCh. 3 - Prob. 78ECPCh. 3 - Prob. 79ECPCh. 3 - Prob. 80ECPCh. 3 - Prob. 81ECPCh. 3 - Prob. 82ECPCh. 3 - Prob. 83ECPCh. 3 - Prob. 84ECPCh. 3 - Prob. 85ECPCh. 3 - Prob. 86ECPCh. 3 - Jill and Frank decided to take a long weekend in...Ch. 3 - Prob. 1PTCh. 3 - Prob. 2PTCh. 3 - Prob. 3PTCh. 3 - Prob. 4PTCh. 3 - Prob. 5PTCh. 3 - Prob. 6PTCh. 3 - Prob. 7PTCh. 3 - Prob. 8PTCh. 3 - Prob. 9PTCh. 3 - Prob. 10PTCh. 3 - Convert the following fractions to decimals (or...Ch. 3 - Rearrange the following decimals and add.
5.93,...Ch. 3 - Prob. 13PTCh. 3 - Prob. 14PTCh. 3 - Prob. 15PTCh. 3 - Prob. 16PTCh. 3 - Prob. 17PTCh. 3 - Prob. 18PTCh. 3 - Prob. 19PTCh. 3 - Prob. 20PTCh. 3 - Prob. 21PTCh. 3 - Prob. 22PTCh. 3 - Prob. 23PTCh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CR
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