Formulate the problem as a linear programming problem and using the graphical method determine the number of tablets and capsules to be purchased so that the total cost of medicines minimize.
QUESTION TWO
a) Research indicates that globally; every day, approximately 800 women die from preventable causes related to pregnancy and childbirth. However, Antenatal care (ANC) is one of the recommended interventions to help reduce these alarming maternal and newborn mortalities worldwide (Kyei, Chansa and Gabrysc, 2019). When an expectant mother visits the clinic they are advised to take Iron, Zinc and Folic at least in quantities of 100mg, 150mg and 100mg per day respectively. There are two types of medicines available in the form of a 500mg tablet and 250mg capsule. Each tablet is composed of 30mg of Iron, 45mg of Zinc, and 40mg of folic acid while the capsule contains the three ingredients in 20mg, 15mg, and 25mg respectively. The cost per of each tablet is K3 and that of each capsule is K2.
Required:
Formulate the problem as a linear programming problem and using the graphical method determine the number of tablets and capsules to be purchased so that the total cost of medicines minimize.
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