Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
8th Edition
ISBN: 9781337125468
Author: Brechner
Publisher: Cengage
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Chapter 19.I, Problem 11RE
To determine
To calculate: The value of the non forfeiture options cash value, reduced paid-up insurance and extended term years or days for the provided life insurance where the face value of policy is
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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 19 Solutions
Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
Ch. 19.I - Prob. 1TIECh. 19.I - Prob. 2TIECh. 19.I - Prob. 3TIECh. 19.I - Calculate the annual, semiannual, quarterly, and...Ch. 19.I - Calculate the annual. semiannual, quarterly, and...Ch. 19.I - Prob. 3RECh. 19.I - Calculate the annual. semiannual, quarterly, and...Ch. 19.I - Prob. 5RECh. 19.I - Calculate the annual. semiannual, quarterly, and...Ch. 19.I - Calculate the annual. semiannual, quarterly, and...
Ch. 19.I - Calculate the annual. semiannual, quarterly, and...Ch. 19.I - Prob. 9RECh. 19.I - Calculate the value of the nonforfeiture options...Ch. 19.I - Prob. 11RECh. 19.I - Prob. 12RECh. 19.I - Calculate the value of the nonforfeiture options...Ch. 19.I - Calculate the value of the nonforfeiture options...Ch. 19.I - Leroy Kirk is 35 years old and is interested in...Ch. 19.I - 16. Rene Boyer, age 27. wants to purchase a 5-year...Ch. 19.I - Carmen Gutierrez purchased a $75,000, 20-payment...Ch. 19.I - 18. Alex Baron is evaluating his life insurance...Ch. 19.I - Richard Ryan is evaluating his life insurance...Ch. 19.I - BUSINESS DECISION: THE CONSULTATION
20. Tina...Ch. 19.II - You are the insurance agent for Diamond...Ch. 19.II - Prob. 5TIECh. 19.II - Prob. 6TIECh. 19.II - Prob. 7TIECh. 19.II - Prob. 8TIECh. 19.II - Prob. 1RECh. 19.II - Prob. 2RECh. 19.II - Prob. 3RECh. 19.II - Calculate the building, contents, and total...Ch. 19.II - Prob. 5RECh. 19.II - Prob. 6RECh. 19.II - Prob. 7RECh. 19.II - Prob. 8RECh. 19.II - Prob. 9RECh. 19.II - Calculate the short-term premium and refund for...Ch. 19.II - Calculate the short-term premium and refund for...Ch. 19.II - Calculate the short-term premium and refund for...Ch. 19.II - Prob. 13RECh. 19.II - Prob. 14RECh. 19.II - Prob. 15RECh. 19.II - Calculate the amount to be paid by the insurance...Ch. 19.II - Prob. 17RECh. 19.II - Calculate the amount to be paid by the insurance...Ch. 19.II - Prob. 19RECh. 19.II - You are the insurance agent for Castle Mountain...Ch. 19.II - A property insurance policy has an annual premium...Ch. 19.II - 22. Insignia Enterprises has a property insurance...Ch. 19.II - Prob. 23RECh. 19.II - BUSINESS DECISION: BUSINESS INTERRUPTION INSURANCE...Ch. 19.III - Jeff Wasserman, owner of High Performance Racing...Ch. 19.III - Prob. 10TIECh. 19.III - Prob. 1RECh. 19.III - Prob. 2RECh. 19.III - Prob. 3RECh. 19.III - As an insurance agent, calculate the annual...Ch. 19.III - Prob. 5RECh. 19.III - Prob. 6RECh. 19.III - Prob. 7RECh. 19.III - As an insurance agent, calculate the annual...Ch. 19.III - 9. Rick Clinton wants to purchase an automobile...Ch. 19.III -
10. Howard Marshall’s Corvette was hit by a palm...Ch. 19.III - Ben Hoffman has motor vehicle liability insurance...Ch. 19.III - BUSINESS DECISION: INSURING THE FLEET
12. The...Ch. 19 - A mechanism for reducing financial risk and...Ch. 19 - 2. The amount of protection provided by an...Ch. 19 - Prob. 3CRCh. 19 - Prob. 4CRCh. 19 - Prob. 5CRCh. 19 - Prob. 6CRCh. 19 - Prob. 7CRCh. 19 - Prob. 8CRCh. 19 - The premium charged when a policy is canceled by...Ch. 19 - The clause in a property insurance policy...Ch. 19 - Prob. 11CRCh. 19 - Prob. 12CRCh. 19 - Prob. 13CRCh. 19 - Prob. 14CRCh. 19 - Prob. 1ATCh. 19 - Calculate the annual, semiannual, quarterly, and...Ch. 19 - Calculate the annual, semiannual, quarterly, and...Ch. 19 - Calculate the annual, semiannual, quarterly, and...Ch. 19 - Prob. 5ATCh. 19 - Prob. 6ATCh. 19 - Prob. 7ATCh. 19 - 8. Mary Hall purchased a $45,000 20-year endowment...Ch. 19 - Prob. 9ATCh. 19 - Calculate the building, contents, and total...Ch. 19 - Prob. 11ATCh. 19 - Prob. 12ATCh. 19 - Prob. 13ATCh. 19 - Calculate the short-term premium and refund for...Ch. 19 - Prob. 15ATCh. 19 - Calculate the amount to be paid by the insurance...Ch. 19 - Prob. 17ATCh. 19 - Prob. 18ATCh. 19 - Prob. 19ATCh. 19 - Prob. 20ATCh. 19 - Prob. 21ATCh. 19 - Prob. 22ATCh. 19 - Prob. 23ATCh. 19 - Prob. 24AT
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