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 planA, consisting of$10,000 fire and theft insurance and$180,000 of liabilityinsurance.) Answer parts a and b.

Policy A

Policy B

Fire/Theft

$10,000

$15,000

Liability

$180,000

$120,000

Premium

$50

$40

a. The company needs at least $300 comma 000

300,000 fire and theft insurance and at least $ 4 comma 200 comma 000

$4,200,000 liability from these plans. How many units should be purchased from each plan to minimize

the cost of thepremiums? What is the minimumpremium?

The company should purchase

0 units of Policy A and

0 units of PolicyB, for a premium of $