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To maximize total profit, how many hectares should farmer allocate to asparagus, beans, and lettuce? A Dutch farmer has in total 122 hectares of farm

To maximize total profit, how many hectares should farmer allocate to asparagus, beans, and lettuce?

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A Dutch farmer has in total 122 hectares of farm land on which he grows three types of vegetables: Beans, Asparagus and Lettuce. . 50% of the farm land are suitable for Beans and Asparagus only. . The remaining 50% of the farm land are suitable for all three types of vegetables. There is an unlimited supply of labour for all kinds of farm work. The market requires the production of a minimum of 4 200 boxes of each type of vegetable. The other limitation is that not more than 17 400 boxes of any one vegetable should be produced. The farmer has decided that the area devoted to any vegetable should be in terms of complete hectares. Asparagus Beans Lettuce Annual yield, boxes per hectare 120 480 250 Direct costs, C Materials, per hectare 115 125 118 Labor, per hectare 397 355 458 Harvesting, per box 3 3 3 Transport, per box 2 2 2 Price, & per box 45.1 11 22.5 Total fixed overhead per annum for all three types of vegetables E132 000. Using the information above, how should the farmer allocate the farm land to maximize his/ her total profit? [Round your answer to the nearest integer.] To Beans: hectares standard function logic vector abc unit

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