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The Osgood County Refuse Department runs two recycling centers.

- Center 1 costs $40 to run for an eight-hour day. In a typical day, 140 pounds of glass and 60 pounds of aluminum are deposited at Center 1.
- Center 2 costs $50 for an eight-hour day, with 100 pounds of glass and 180 pounds of aluminum deposited per day.

The county has a commitment to deliver at least 1540 pounds of glass and 1440 pounds of aluminum per week.

How many days per week should the county open each center to minimize its cost and still meet the requirements?

Answer :

Final answer:

To minimize costs and meet the requirements, the county should open Center 1 for 4 days and Center 2 for 3 days per week.

Explanation:

To minimize its cost and still meet the requirements, the county should open Center 1 for 4 days and Center 2 for 3 days per week.

Here's the step-by-step calculation:

  1. Calculate the cost per pound of delivering glass and aluminum to each center.
  2. Calculate the total cost of delivering the required amount of glass and aluminum per week to each center.
  3. Determine the optimal number of days to open each center to minimize cost.

Using this approach, the county can minimize its cost while fulfilling the glass and aluminum deposit requirements.

Learn more about Minimizing costs and meeting requirements here:

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