تم الحل ✓
categoryالرياضيات
schoolبكالوريوس
event_available2026-07-14
السؤال
Transcribed Image Text:
Problem 2.
A company assembles four products (1, 2, 3, 4) from delivered components. The profit per unit for
each product (1, 2, 3, 4) is $10, $15, $7 and $17 respectively.
There are three stages (A, B, C) in the manual assembly of each product and the man-hours
needed for each stage per unit of product are shown below:
1 2 3 4
A 3 3 15
B 243 2
C 2 2 3 1
The nominal time available in the next week for assembly at each stage (A, B, C) is 160, 200 and
180 man-hours respectively.
It is possible to vary the man-hours spent on assembly at each stage such that workers previously
employed on stage B assembly could spend up to 20% of their time on stage A assembly and workers
previously employed on stage C assembly could spend up to 30% of their time on stage A assembly.
Production constraints also require that the ratio (product 1 units assembled)/(product 4 units
assembled) must lie between 0.9 and 1.15.
Formulate the problem of deciding how much to produce next week as a linear program. And
solve the problem using EXCEL Solver.
Problem 2
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