Question
Jane Torres works in a juice firm and has to develop the production plan for the lemon and the orange juice concentrates. The fruits (lemon
Jane Torres 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 Jane 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 10200 kg of the water solution, 2980 kg of sugar, and 2000 kg of vitamin mix. The recipe tells her to use 45 kg of water solution to make a metric ton of lemon drink and 71 kg of water solution to make a metric ton of orange drink. For the lemon drink she also needs 22 kg of sugar and 25 kg of vitamin mix. The orange drink needs 16 kg of sugar and 10 kg of vitamin mix.
From the sales department, Ina knows that the lemon soft drink sells at 51 SEK/ton and the orange drink sells at 70 SEK/ton. (SEK = Swedish krona).
How much lemon drink should Jane produce to maximize revenue?
Give your answer in metric ton and round to two decimal places.
How much orange drink should Jane produce to maximize revenue?
Give your answer in metric ton and round to two decimal places.
How much revenue can Jane generate with the optimal production plan?
Round your answer to one decimal place and do not put any currency symbols in the answer field.
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