Maximize the objective function p = 5x + 3y for the given constraints. X ≥ 0 y ≥ 0 3x + 6y ≤ 48 2x + 8y ≤ 56.
1 answer:
The maximized value of the objective function is 38
The objective function is given as:
Max P = 5x + 3y
The constraints are given as:
- 3x + 6y ≤ 48
- 2x + 8y ≤ 56
- x ≥ 0 y ≥ 0
To do this, we make use of the graphical method.
See attachment for the graph of the constraints.
From the graph, we have the following feasible point
Substitute 4 for x and 6 for y in the objective function.
So, we have:
Hence, the maximized value of the objective function is 38
Read more about objective functions at:
You might be interested in
Byzantine mosaics are famous
mosaics that were made from the 4th to 15th centuries within the influence of the Byzantine Empire. The husband and wife depicted in these byzantine mosaics are Justinian and Theodora and they were celebrating the Eucharist.
- The Eucharist is known simply as a popular Christian sacrament marking the Last Supper by the use of consecrating bread and wine.
Mosaics are popular and historically important art forms made in the byzantine empire.
They were first used to show religious figures such as Christ and also other scenes from the Bible.
Learn more from
