Production plan for softdrinks
Irene Martin works in a juice firm and has to develop the production plan for the lemon and the orange juice concentrates. The fruits (lemon and orange) that she needs to make the juice are not the bottleneck but Irene is concerned about the other main ingredients that go into making the juice: a water-based solution, sugar, and a vitamin mix. Checking with the ERP system tells her that she has 10900 kg of the water solution, 2970 kg of sugar, and 1990 kg of vitamin mix. The recipe tells her to use 52 kg of water solution to make a metric ton of lemon drink and 75 kg of water solution to make a metric ton of orange drink. For the lemon drink she also needs 24 kg of sugar and 17 kg of vitamin mix. The orange drink needs 11 kg of sugar and 7 kg of vitamin mix.
From the sales department, Ina knows that the lemon soft drink sells at 58 SEK/ton and the orange drink sells at 74 SEK/ton. (SEK = Swedish krona).
1) How much lemon drink should Irene produce to maximize revenue?
2) How much orange drink should Irene produce to maximize revenue?
3)How much revenue can Irene generate with the optimal production plan?
So far, I've done work to this point and am stuck at what to do next..
Please help guide me in the right direction!
Thank you so much.