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Shedz processes two varieties of kiwifruit – green and gold. Constraints on daily packing are

as follows:

• At most, 2 000 trays can be packed in total.

• At most, 1 200 trays of green can be packed.

• A minimum of 200 trays of gold need to be packed.

• The ratio of the number of packed trays of green to gold must be no more than 5:2.

The ratio of the profit per tray of the green variety to the gold is 12:13.

Three types of tray are available; “all cardboard”, “cardboard / wood” and “all wood”, and Shedz

wishes to determine how many of each type to purchase.

The cost per tray is $1 for “all cardboard”, $2 for “cardboard / wood” and $4 for “all wood”. Shedz

budgets $5 000 per day for purchasing trays. Shedz requires 2 000 trays per day, with between 10%

and 30% of them being of the “all cardboard” type and as many as possible (subject to the above

criteria) being of the “cardboard / wood” type.

Using these criteria, determine Shedz’s daily requirement for each type of tray.

How do I do this?

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# Prob question

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