A patient consults a doctor at Levy Mwanawasa Hospital to check up his ill health. The doctor examination advises him to consume vitamin A and D regularly for a period of time so that he can regain his health. Doctor prescribes tonic π1 and tonic π2 which are having vitamins A and D in certain percentages. The doctor also advises the patient to consume at least 4 units of vitamin a and 5 units of vitamins D daily. The cost of tonics π1 and π2 and the proportion of vitamin A and D that are present in π1 and π2 are given in the table below.
Vitamins
Tonics
Daily Requirement
π»π
π»π
π΄
1
2
4
π·
1.5
1
5
Cost in kwacha per unit
1.5
1.25
(a) Formulate LPP to minimize the cost of the tonics.
[4 marks]
(b) Solve the LPP and interpret your results
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