Constraints

A fruitjuice company specializes in two types of product. Their carton product is sold to health food shops and requires 120mL of juice for every one litre carton; it can be produced in the factory at 12 cartons per minute.Their large 5 Litre plastic bottles are sold to supermarkets and need 450mL of juice concentrate. These can be produced at the rate of 24 Litres per minute. The juice concentrate costs $14 per litre to make up, and the factory running cost is $400 per running hour (includes power, wages, rates etc). The concentrate is comprised of 20% mango nectar, and at persent they are only able to obtain 1100 Litres of mango nectar per week, as it is in short supply. They sell the cartons for $2.80 and plastic bottles for $9.60.

Due to certain fixed contracts they have to produce at least 30000 Litres of juice each week, but not less than 11000 cartons and 3200 weekly.

The factory runs for 10 hours per day, 5 days a week, and can at this stage produce only one product at a time.

Taking all of the above consideration, determine the maximum profit that can be made outlining any assumptions made and showing all equations and graphs used.




Ok i have no idea how to or attempt this question, would anyone be able to help me. Omg if u can, you are a champion