- #1
sara_87
- 763
- 0
Homework Statement
Arthur Sanderson Ltd. is a small paint factory which produces interior and exterior house paints for wholesale distribution. Two raw materials are used in the manufacture of the paints i.e. neutral base and pigment. The maximum availability of neutral base is 6 tons per day. The maximum availability of pigment is 8 tons per day. The raw material requirements for the paints are shown in Table 1.
Tons of Raw Material per Ton of Paint
Exterior Interior
Neutral Base 1 2
Pigment 2 1
Table 1
A market survey has established that the daily demand for interior cannot exceed that of exterior paint by more than 1 ton. The survey also shows that the maximum demand for interior paint is limited to 2 tons daily. The profits made by the company are £3000 on each ton of exterior paint and £2000 on each ton of interior paint. The company wishes to determine the number of tons of each paint it must produce each day in order to maximise its profit and satisfy the constraints of demand and raw materials usage.
Homework Equations
The Attempt at a Solution
ok this is kind of dum but i can't do the question ( i know it's an easy question don't make me feel worse!) because I'm not sure if i have the right linear programming problem or whatever
this is what i did:
3000x + 2000y = z
x + 2y =< 6
2x + y =< 8
y =< 2
x =< y+1
x, y>= o
tell me it's right! :(
Last edited: