Question
A nutritionist advises that an individual should consume at least 120mg of iron (I), at least 150mg of zinc (Z) and at most 180mg of
A nutritionist advises that an individual should consume at least 120mg of iron (I), at least 150mg of zinc (Z) and at most 180mg of multivitamin (M) supplements. Jane wants to ensure that she follows the diet by purchasing food supplements from her neighbourhood pharmacy that sells packets of "VitaPlus" and "BeHealthy," which contain all the nutrients recommended. She wants to select an affordable, effective combination of these vitamins. Each package of VitaPlus costs $18 and contains 10mg of iron, 10mg of zinc, and 20mg of multivitamin. BeHealthy provides 30mg of zinc, 10mg of multivitamin, 20mg of iron, and it costs $20 per packet. Let V and B denote the number of packets of VitaPlus and BeHealthy, respectively. Required: From the information given, formulate a Linear Programming problem and solve it graphically.
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