Situation 4 YacaPurrias Inc. gets its supplies (Yuca, Yautía, and Plátano) from

Question

Situation 4 YacaPurrias Inc. gets its supplies (Yuca, Yautía, and Plátano) from three different suppliers: SUP1, SUP2, and SUP3. These companies sell 'viandas' in bulks but fix percentage: The costs of each pound of bulk viandas and percentages [or size mix] purchased from each supplier are given in the table below. For example, is YacaPurrias buys a bulk of ten pounds of viandas from supplier SUPl, the total cost would be $140, and will contain 5 pounds of Yuca, 3 pounds of Yautía, and 2 pounds of Plátano Cost of bulk Supplier SUP1 SUP2 SUP3 d ($) 14 10 12 Percent Yuca 50 60 Not available Percent Yautía' 30 40 70 Percent Plátano' 20 Not available 30 Each week, YacaPurria places one order with each supplier. Based on historical demand, at least 40 pounds of Yuca, 60 pounds of Yautía, and 50 pounds of Plátano must be purchased each week. At least 30% of all vanda must be bought from SUP2.

Explanation / Answer

The percentage table will be as follows

Minimum

Let the supply from SUP1 be p units Let the supply from SUP2 be q units Let the supply from SUP3 be r units Then the total cost function is 14p+10q+12r Thus objective function will be 14p+10q+12r This is to be minimum. We have to find the variable p,q and r

The percentage table will be as follows

Total Cost Yu Ya Pl Purchases Maximum SUP1 14p .5p .3p .2p p 250 SUP2 10q .6q .4q q 250 SUP3 12r .7r .3r r 150 Total 14p+10q+12r 0.5p+0.6q 0.3p+0.4q+0.7r 0.2p+0.3r

Minimum

40 60 50

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