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Assoli18 [71]
3 years ago
12

The Osgood county refuse department runs two recycling centers. Center 1 costs $40 to run for an eight hour day. In a typical da

y, 140 pounds of glass and 60 pounds of aluminum are deposited at Center 1. Center 2 costs $50 for an eight hour day, with 100lbs of glass and 180lbs of aluminum deposited per day. The county has a commitment to deliver at least 1540lbs of glass and 1440lbs of aluminum per week. How many days per week should the county open each center to minimize its cost and still meet the requirements?
Business
1 answer:
Vaselesa [24]3 years ago
4 0

Answer:

Center 1 should be open 7 days a week, and center 2 should be open 6 days a week. Total cost = $580

Explanation:

minimize the following equation 40A + 50B

where:

A = center 1

B = center 2

constraints:

140A + 100B ≥ 1540

60A + 180B ≥ 1440

A ≤ 7

B ≤ 7

A, B ≥ 0

using Solver, the optimal solution is 7A + 6B = 580

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You have been investing $165 a month for the last 12 years. today, your investment account is worth $60,508.29. what is your ave
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We have the relationship
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We need to solve a non-linear equation for the value of i, the monthly interest rate.
One of the ways is to solve it by fixed iteration, i.e. 
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2. select an initial value of i
3. evaluate i according the equation in step 1 until the value is stable.

Here we will use the relationship to express
i=((60508.29*i)/165+1)^(1/144)-1  [ notice that i is on both sides of = sign ]
using an initial value of i=0.01 (about 1% per month).
Successively, we get
i=((60508.29*0.01)/165+1)^(1/144)-1=0.01075571
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i=0.0113685
i=0.0114728
i=0.0115246
i=0.0115502
i=0.0115628
i=0.0115690
i=0.0115720
Assuming the above has stablilized, and the APR is 12 time the above value, namely
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