A company is considering two insurance plans with the following types of coverage and premiums: Plan A Plan B $26000 $33000 $185000 $137000 $60 Fire/Theft Liability Monthly Premium $70 Premiums are sold in units. For example, one can buy one unit of plan A insurance for $70.00 per month and receive $26,000.00 in Theft/Fire insurance. Two units of plan A insurance cost $140.00 per month and give $52,000.00 in Theft/Fire insurance. The company wants at leoast $781,000.00 in coverage for Thef/Fire insurance and $4,090,000.00 in coverage for liability insurance. How many units of each plan should be purchased to meet the needs of the company while minimizing cost? The company should purchase units of plan A and units of plan B. What is the minimum monthly premium for the company? (Note: your answer is a dollar amount and should include a dollar symbol).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section11.4: Marketing Models
Problem 33P
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A company is considering two insurance plans with the following types of coverage and premiums:
Plan A Plan B
$26000 $33000
$185000 $137000
$60
Fire/Theft
Liability
Monthly Premium $70
Premiums are sold in units. For example, one can buy one unit of plan A insurance for $70,.00 per month and receive $26,000.00 in
Theft/Fire insurance. Two units of plan À insurance cost $140.00 per month and give $52,000.00 in Theft/Fire insurance.
The company wants at loast $781,000.00 in coverage for Thefu/Fire insurance and $4,090,000.00 in coverage for liability insurance.
How many units of each plan should be purchased to meet the needs of the company while minimizing cost?
The company should purchase
units of plan A and
units of plan B.
What is the minimum monthly premium for the company?
(Note: your answer is a dollar amount and should
include a dollar symbol).
Transcribed Image Text:A company is considering two insurance plans with the following types of coverage and premiums: Plan A Plan B $26000 $33000 $185000 $137000 $60 Fire/Theft Liability Monthly Premium $70 Premiums are sold in units. For example, one can buy one unit of plan A insurance for $70,.00 per month and receive $26,000.00 in Theft/Fire insurance. Two units of plan À insurance cost $140.00 per month and give $52,000.00 in Theft/Fire insurance. The company wants at loast $781,000.00 in coverage for Thefu/Fire insurance and $4,090,000.00 in coverage for liability insurance. How many units of each plan should be purchased to meet the needs of the company while minimizing cost? The company should purchase units of plan A and units of plan B. What is the minimum monthly premium for the company? (Note: your answer is a dollar amount and should include a dollar symbol).
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