A company is considering two insurance plans with coverage and premiums shown in the table. (For example, this means that $50 buys one unit of plan A, consisting of $10,000 fire and theft insurance Fire/Theft and $180,000 of liability insurance.) Answer parts a and b. units of Policy A and Liability Premium units of Policy B, for a premium of $ Policy A $10,000 $180,000 $50 a. The company needs at least $450,000 fire and theft insurance and at least $5,400,000 liability from these plans. How many units should be purchased from each plan to minimize the cost of the premiums? What is the minimum premium? The company should purchase 18 units of Policy A and 18 units of Policy B, for a premium of $ 1620. b. Suppose the premium for policy A is reduced to $25. Now how many units should be purchased from each plan to minimize the cost of the premiums? What is the minimum premium? The company should purchase Policy B $15,000 $120,000 $40

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A company is considering two insurance plans with coverage and premiums shown in the table. (For
example, this means that $50 buys one unit of plan A, consisting of $10,000 fire and theft insurance
and $180,000 of liability insurance.) Answer parts a and b.
Policy B
$15,000
Policy A
Fire/Theft
$10,000
Liability
$180,000
$120,000
Premium
$50
$40
a. The company needs at least $450,000 fire and theft insurance and at least $5,400,000 liability from these plans. How many units should be purchased from each
plan to minimize
the cost of the premiums? What is the minimum premium?
The company should purchase 18 units of Policy A and 18 units of Policy B, for a premium of $ 1620 .
b. Suppose the premium for policy A is reduced to $25. Now how many units should be purchased from each plan to minimize the cost of the premiums? What is the
minimum premium?
The company should purchase
units of Policy A and
units of Policy B, for a premium of $
Transcribed Image Text:A company is considering two insurance plans with coverage and premiums shown in the table. (For example, this means that $50 buys one unit of plan A, consisting of $10,000 fire and theft insurance and $180,000 of liability insurance.) Answer parts a and b. Policy B $15,000 Policy A Fire/Theft $10,000 Liability $180,000 $120,000 Premium $50 $40 a. The company needs at least $450,000 fire and theft insurance and at least $5,400,000 liability from these plans. How many units should be purchased from each plan to minimize the cost of the premiums? What is the minimum premium? The company should purchase 18 units of Policy A and 18 units of Policy B, for a premium of $ 1620 . b. Suppose the premium for policy A is reduced to $25. Now how many units should be purchased from each plan to minimize the cost of the premiums? What is the minimum premium? The company should purchase units of Policy A and units of Policy B, for a premium of $
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