Question

In: Civil Engineering

A community has two waste sources S1 and S2 having option to dispose waste at either...

A community has two waste sources S1 and S2 having option to dispose waste at either
landfill LF1 at $4/tonne, or LF2 at $6/tonne. S1 and S2 generate waste at 150 tonnes/week and 300
tonnes/week, respectively, and transportation costs are $8/tonne (S1 to LF1), $7/tonne (S1 to LF2),
$6/tonne (S2 to LF1), and $5/tonne (S2 to LF2). (A) (2 points) At which landfills should S1 and S2 dispose
the wastes to minimize total cost of transportation and disposal? (B) (4 points) What are the minimum
costs of transportation and disposal ($/week) for S1, S2, and total community? (C) (4 points) What are
the minimum transportation costs ($/week) for S1, S2, and total community?

Solutions

Expert Solution

Waste at source S1 = 150 tonnes/week and at S2 = 300 tonnes /week

Disposal cost at LF1 = $4/ tonne and disposal cost at LF2 = $6/tonne

Transportation cost from S1 to LF1 = $8/tonne and S1 to LF2 = $7/tonne .

Thus total disposal and transportation cost for waste from S1 to :

LF1 = $12 /tonne

LF2 = $13/tonne . Thus waste from S1 should be disposed at LF1 for minimizing cost of transportation and disposal.

Similarly for S2 , transportation cost to LF1 = $6/tonne and to LF2 = $5/tonne . Thus total cost of transportation and disposal from S2 to :

LF1 = $10/tonne

LF2 = $11/tonne . Thus waste from S2 should be disposed at LF1 to minimise cost of transportation and disposal.

Minimum cost of transportation and disposal for : S1 = $12*150 = $1800 per week

S2 = $10*300 = $3000 per week

Total Community = $(1800+3000) = $4800 per week

Minimum cost of transportation for :

S1 = $7*150 = $1050 per week

S2 = $5*300 = $1500 per week

Total Community = $(1050+1500) = $2550 per week

Ally Wells answered 10 months ago
Next > < Previous

Related Solutions

If there are two energy states, S1 and S2 respectively such that S2>S1 then there exists...
If there are two energy states, S1 and S2 respectively such that S2>S1 then there exists some probability for an atom in S2 to decay to S1. What actually causes the atom to decay to the lower energy state? is it the fact that the lower state is more probable for the atom to be in as given by the Boltzmann Factor? so since it is more probable, it has more microstates and entropy causes it to decay? Please help...
if s1 and s2 are two simple functions then prove that the max and minimum of...
if s1 and s2 are two simple functions then prove that the max and minimum of then are also simple function.
The intersection (∩) of two sets (s1, s2) is the set of all elements that are...
The intersection (∩) of two sets (s1, s2) is the set of all elements that are in s1 and are also in s2. Write a function (intersect) that takes two lists as input (you can assume they have no duplicate elements), and returns the intersection of those two sets (as a list) without using the in operator or any built-in functions, except for range() and len(). Write some code to test your function, as well. Note: Do not use the...
Suppose you have two strains of mice, S1 and S2. Strain S2 is genetically modified to...
Suppose you have two strains of mice, S1 and S2. Strain S2 is genetically modified to metabolize a pharmacon P supposedly faster than S1. You conducted an experiment in a sample set of each strain, in which the pharmacon was injected and its concentration in blood was measured every 15min for 2h. Of course, age, gender, and weight was recorded for each animal. You want to statistically demonstrate that the metabolic rate of N is higher in S2 than S1....
Robinson Products Company has two service departments (S1 and S2) and two production departments (P1 and...
Robinson Products Company has two service departments (S1 and S2) and two production departments (P1 and P2). The distribution of each service department’s efforts (in percentages) to the other departments is: From To S1 S2 P1 P2 S1 — 10 % 20 % ? % S2 10 % — ? 30 The direct operating costs of the departments (including both variable and fixed costs) are: S1 $ 180,000 S2 60,000 P1 50,000 P2 120,000 Required: 1. Determine the total cost...
Leader Company has two support departments (S1 and S2) and two producing departments (P1 and P2)....
Leader Company has two support departments (S1 and S2) and two producing departments (P1 and P2). Estimated direct costs and percentages of services used by these departments are as follows: Allocation of support departments S1 S2 P1 P2 S1              - 10% 40% 50% S2 20% - 50% 30% Direct costs £4,500 £8,000 £10,000 £15,000         Required: a. Prepare a schedule allocating the support department costs to the producing departments using the direct allocation method. b. Prepare a schedule allocating the support...
Leader Company has two support departments (S1 and S2) and two producing departments (P1 and P2)....
Leader Company has two support departments (S1 and S2) and two producing departments (P1 and P2). Estimated direct costs and percentages of services used by these departments are as follows: Allocation of support departments S1 S2 P1 P2 S1              - 10% 40% 50% S2 20% - 50% 30% Direct costs £4,500 £8,000 £10,000 £15,000         Required: a. Prepare a schedule allocating the support department costs to the producing departments using the direct allocation method. b. Prepare a schedule allocating the support...
Robinson Products Company has two service departments (S1 and S2) and two production departments (P1 and...
Robinson Products Company has two service departments (S1 and S2) and two production departments (P1 and P2). The distribution of each service department’s efforts (in percentages) to the other departments is: From To S1 S2 P1 P2 S1 — 20 % 30 % ? % S2 20 % — ? 40 The direct operating costs of the departments (including both variable and fixed costs) are: S1 $220,000 S2 $74,000 P1 $61,000 P2 $175,000 Required: 1. Determine the total cost of...
Craylon Corp has two service departments, S1 and S2, and two production departments, P1 and P2....
Craylon Corp has two service departments, S1 and S2, and two production departments, P1 and P2. The data for April were as follows: Services provided to: Activity Costs S1 S2 P1 P2 S1 $100,000 25% 40% 35% S2 $80,000 10% 55% 35% Fixed Costs P1 $400,000 P2 $500,000 One of the algebraic equations in linear form for an activity using the reciprocal method is S2 = 80,000 +.25S1 S1=100,000 + .25S2 S2 = 80,000 + .35S1 S1 = 100,000 +.10S2
Direct, sequential, and reciprocal allocation Ming Company has two service departments (S1 and S2) and two...
Direct, sequential, and reciprocal allocation Ming Company has two service departments (S1 and S2) and two production departments (P1 and P2). Last year, directly identified overhead costs were $300,000 for S1 and $300,000 for S2. Information on the consumption of their services was as follows: User Departments Supplying Departments S1 S2 P1 P2 S1 0% 40% 30% 30% S2 25% 0% 25% 50% Required: a) Determine the service department costs allocated to the two production departments using the direct method....
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT