Linear Programming Problem: Maximizing Productivity

The two products that case chemical makes- cs01 and cs02 yield excessive amounts of three different pollutants: a,b,and c. the state government has ordered the company to install and to employ antipollution devices. the following table provides the current daily emissions in kg/1000liters and the maximum of each pollutant allowed in kg.

pollutant======cs01========cs02=====max allowed

A ============ 25 ========40 ====== 43
B ============ 10 ======== 15 ======20
C ============ 80 ======== 60 ======50

the manager of the production department has approved the installation of two antipollution devices. the emissions from each product can be handled by either device in any proportion. ( the emissions are sent through a device only once, that is, the output of one device cannot be the input to the other or back to itself). The following table shows the percentage of each pollutant from each product that is removed by each device.

============device 1============device2
pollutant cs01 cs02 cs01 cs02
A ===========40 === 40 =========== 30==== 20
B ===========60==== 60 =========== 0 ==== 0
C ===========55==== 55 =========== 65==== 80

For example, if the emission from cs01 is sent through device 1, 40% of pollutant A, 60% of pollutant B, and 55 % of pollutant C are removed. Manufacturing considerations dictate that cs01 and cs02 be produced in the ratio of 2 to 1.
Formulate a LP model to determine a plan that maximizes the total daily production ( amount of cs01 plus amount of CS02) while meeting gov requirements.

Problem 3
Consider the following linearprogrammingproblem:
Max Z = $15x + $20y
Subject to :
8x + 5y <= 40
0.4x + y >= 4
x, y >= 0
Determine the values for x and y that will maximize revenue.
See the following attached file.

Please check if the following problem is complete. Solve and graph the following problem. Include step by step calculations. I am not sure how to graph it.
Maximize Z = 3X + Y subject to
12X + 14Y <= 85
3X + 2Y <= 18
Y<= 4
I solved it......
Maximize Z = 3X + Y subject to
12X + 14Y <= 85
3X + 2Y <= 18
Y<= 4

1. Solve the linearprogrammingproblem:
minimize z = x + y
subject to
x + 2y =< 40,
2x + y =<40,
x + y =<10,
x >= 0, y >=0
The corner points are: (0, 10), (0, 20), (40/3, 40/3) (20, 0), (10, 0).

A California grower has a 50 acre farm on which to plant strawberries and tomatoes. The grower has available 300 hours of labor per week and 800 tons of fertilizer, and has contracted for shipping space for a maximum of 26 acres' worth of strawberries and 37 acres' worth of tomatoes. An acre of strawberries requires 10 hours of

You are given a linearprogramming problem that has already been solved. The following conditions hold:
(i) You are maximizing the objective function 6x + 5y
(ii) After solving the problem, you found that the optimal solution point occurs at the intersection of exactly two of the constraints, namely constraints: (1) 4x +2y â‰

Which of the following could be a linearprogramming objective function?
Z = 1A + 2B / C + 3D
Z = 1A + 2BC + 3D
Z = 1A + 2B + 3C + 4D
Z = 1A + 2B2 + 3D
all of the above.

URE Industries gets a productivity of
f(x, y) = 2*x^2*y + 3*x*y^2 + 2*y^3
from x units of labor and y units of capital. If labor costs $50 per unit and capital costs $100 per unit, how many units of labor and capital should URE use, given that its budget is 150,000$?
a) Assume that x and y can be positive or negative (URE