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bronzeelk458Lv1
11 Dec 2019
Graph the system of constraints and find the value of x and y that maximize the objective function.
objective function: c=7x-3y
x>0
y>0
y<1/5x+2
5>y+x.
Graph the system of constraints and find the value of x and y that maximize the objective function.
objective function: c=7x-3y
x>0
y>0
y<1/5x+2
5>y+x.
Jean KeelingLv2
30 Apr 2020
Related questions
For each of the following two LP models, respond to the following questions using graphic tools and algebraic methods only:
- Identify the constraints that are binding and the ones that are not binding.
- Identify if any constraint is redundant (i.e., is not needed to delineate the feasibility region)
- Find the range of optimality of both of the objective function coefficients
- Find the shadow prices of each of the constraints
- Compute the amount by which the objective function changes, if the right-hand side of one of the constraints increases by 8%.
Model 1:
Maximize f = 4x + 7y subject to the following constraints:
| x | + | 2y | ≤ | 7 |
| 5x | + | 3y | ≤ | 12 |
| y | ≤ | 3 | ||
x and y are non-negative
Model 2
Maximize f = 7x + 5y subject to the following constraints:
| 3 x | + 4 | y | ≤ | 24 | |
| 2x | + | 1y | ≤ | 10 | |
| x | ≥ 1 | ||||
y ≤ 5
x and y are non-negative
