Originally Posted by

**JacobE** Hi.

I'm trying to solve a linear programming task (using the graphing method) for profit maximization.

Say, there's a small business producing peanut and raisin mixtures called PR and RP.

The mixture PR contains 2/3 kg raisins and 1/3 kg peanuts, whereas mixture RP contains 1/2 kg raisins and 1/2 kg peanuts. The produce these mixtures, the businessman can buy 90 kg raisins and 60 kg of peanuts, with 1 kg of peanuts costing £0.6 and 1 kg of raisins costing £1.5. Packages labelled PR are sold at a price of 2.9 £/kg and packages labelled RP 2.55 £/kg.

The owner assumes that no more than 150 mixture packages will be sold.

How many different mixture packages should the small business produce to maximise profit?

I figure the variables should be: x1 - number of PR mixture packages produced, x2 - number of PR mixture packages produced.