A company is considering two insurance plans with the following types of coverage and premiums:

Premiums are sold in units. For example, one can buy one unit of plan A insurance for $$75$ per month and receive $$24,000$ in Fire$/$Theft insurance. Two

units of plan A insurance cost $$150$ per month and give $$48,000$ in Fire$/$Theft insurance.

The company wants at least $$677,000$ in coverage for Fire$/$Theft insurance and $$3,902,000$ 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? $ Premiums are sold in units. For example, one can buy one unit of plan A insurance for $$75$

per month and receive $$24,000$

in Fire$/$Theft insurance. Two units of plan A insurance cost $$150$

per month and give $$48,000$

in Fire$/$Theft insurance.

The company wants at least $$677,000$

in coverage for Fire$/$Theft insurance and $$3,902,000$

in coverage for liability insurance.

How many units of each plan should be purchased to meet the needs of the company while minimizing cost?