The Nelson Company has four distribution centers (A,B,C,and D)that require shipments of 20,30,40,and 10 units per week,respectively.Its three plants (1,2,and 3)have monthly capacities of 40,30,and 30,respectively.Shipping costs (in $)follow.

What can be said about a plan that ships 40 units from 1 to C,30 units from 2 to B,20 units from 3 to A,and 10 units from 3 to D?
A)It is not feasible in terms of plant capacities.
B)It is not feasible in terms of satisfying distribution center demands.
C)It is feasible,and the weekly shipping cost is less than $1,600.
D)It is feasible,and the weekly shipping cost is greater than $2,000.

Question

The Nelson Company has four distribution centers (A,B,C,and D) that require shipments of 20,30,40,and 10 units per week,respectively.Its three plants (1,2,and 3) have monthly capacities of 40,30,and 30,respectively.Shipping costs (in $) follow.

What can be said about a plan that ships 40 units from 1 to C,30 units from 2 to B,20 units from 3 to A,and 10 units from 3 to D?

What can be said about a plan that ships 40 units from 1 to C,30 units from 2 to B,20 units from 3 to A,and 10 units from 3 to D?
A)It is not feasible in terms of plant capacities. 
B)It is not feasible in terms of satisfying distribution center demands. 
C)It is feasible,and the weekly shipping cost is less than $1,600. 
D)It is feasible,and the weekly shipping cost is greater than $2,000.

Quizplus · Accepted Answer

The plan ships enough units to satisfy the weekly demands of all distribution centers and stays within the monthly capacities of the plants. The total weekly shipping cost can be calculated as follows:
40(1C) + 30(2B) + 20(3A) + 10(3D) = $560
Therefore, the plan is feasible and the weekly shipping cost is less than $1,600.

The Nelson Company Has Four Distribution Centers (A,B,C,and D)that Require