A company is considering two insurance plans with the types of coverage and premiums shown in the following table. Fire/Theft Liability Premium Policy A $10,000 $180,000 $50 Policy B $15,000 $120,000 $40 (For example, this means that $50 buys one unit of plan A, which has $10,000 of fire/theft insurance and $180,000 of liability insurance.) The company wants at least $300,000 fire/theft insurance and at least $3,000,000 liability insurance from these plans. A) How many units should be purchased from each plan to minimize the cost of the premiums? B) What is the minimum premium?

Advanced Engineering Mathematics
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ISBN:9780470458365
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A company is considering two insurance plans with the types of coverage and premiums
shown in the following table.
Policy B
$15,000
$120,000
$40
(For example, this means that $50 buys one unit of plan A, which has $10,000 of fire/theft
insurance and $180,000 of liability insurance.)
Fire/Theft
Liability
Premium
Policy A
$10,000
$180,000
$50
The company wants at least $300,000 fire/theft insurance and at least $3,000,000 liability
insurance from these plans.
A) How many units should be purchased from each plan to minimize the cost of the
premiums?
B) What is the minimum premium?
Transcribed Image Text:A company is considering two insurance plans with the types of coverage and premiums shown in the following table. Policy B $15,000 $120,000 $40 (For example, this means that $50 buys one unit of plan A, which has $10,000 of fire/theft insurance and $180,000 of liability insurance.) Fire/Theft Liability Premium Policy A $10,000 $180,000 $50 The company wants at least $300,000 fire/theft insurance and at least $3,000,000 liability insurance from these plans. A) How many units should be purchased from each plan to minimize the cost of the premiums? B) What is the minimum premium?
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