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 $$75$ per month and receive $$20,000$ in

Fire$/$Theft insurance. Two units of plan A insurance cost $$150$ per month and give $$40,000$ in Fire$/$Theft insurance.

The company wants at least $$680,000$ in coverage for Fire$/$Theft insurance and $$4,086,000$ 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? $