recycler to open up a plant in town. How many days per week should the county open each center to minimize its cost and still meet the recycler's needs?

Principles of Economics 2e
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ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
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9. The Manal 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 to encourage a
recycler to open up a plant in town. How many days per week
should the county open each center to minimize its cost and still
meet the recycler's needs?
Let x be the number of days per week Center 1 is open and y be
the number of days per week Center 2 is open. The linear
programming problem associated with this question is as follows:
Minimize the function
z = 40x + 50y (Cost of operating the two centers)
subject to the constraints:
140x + 100y 2 1540 (glass)
60x + 180y 2
140
Alm.
0.
Transcribed Image Text:9. The Manal 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 to encourage a recycler to open up a plant in town. How many days per week should the county open each center to minimize its cost and still meet the recycler's needs? Let x be the number of days per week Center 1 is open and y be the number of days per week Center 2 is open. The linear programming problem associated with this question is as follows: Minimize the function z = 40x + 50y (Cost of operating the two centers) subject to the constraints: 140x + 100y 2 1540 (glass) 60x + 180y 2 140 Alm. 0.
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