http://www.kenniffonline.com/google-profits-graph/
Linear Equality Question (Google can’t help…)?
A company sells two types of plaster, X and Y. It can make (at max) 60 lorry loads per hour of X or 30 lorry loads per hour of Y.
The lorries can take up to 32 loads per hour of X or 56 loads per hour of Y.
However, no more than 36 loads per hour can be handled at the ‘loading phase’ of the operation.
The profit per lorry load of X is $200 and per lorry load of Y is $360.
Let the number of lorryloads of X and Y made be x and y, respectively.
1. Derive an inequality for the production phase and sketch on a graph.
2. Repeat for the lorry capacity requirements and the loading phase.
For the first question, I think the left hand side of the inequality is 60x + 30y. But I really can’t work out what goes on the right. Is it profit, maximum lorry capacity or something else? Thanks in advance for any response.
your inequalities { in per hour units} are 0 ≤ x ≤ 32 & 0 ≤ y ≤ 30 & 0 ≤ x + y ≤ 36 and the profit function is P(x,y) = 200 x + 360 y
1) 0 ≤ x ≤ 60 & 0 ≤ y ≤ 30
2) 0 ≤ x ≤ 32 & 0 ≤ y ≤ 56…although I cannot see why any COO would care about 1) & 2)
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