Production plan which maximizes total contribution

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Question

A firm make two products fork and knife. Fork has a contribution of $3 per unit and knife $4 per unit. The firm wishes to establish weekly production plan which maximizes its total contribution. The production data is as follows: PER UNIT Machining (Hrs) Labour (Hrs) Material (kgs) Fork 4 4 1 Knife 2 6 1 Total Available Per Week 100 180 40 Because of a trade agreement, sales of fork are limited to a weekly maximum of 20 units and to honour an agreement with an old customer, at least 10 units of knife must be sold per week. solved graphically. Maximize 3f + 4k. Draw up the axis of the graph make sure it is calibrated appropriately.

Reference no: EM133556711

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