b) Kenya is in the advanced stages of preparing to manufacture COVID-19 vaccines locally. The Ministry of Health has identified a number of facilities all over the country for consideration for the manufacture of one or more of three vaccines; Johnson and Johnson (JJ), AstraZeneca (AZ) and Pfizer (PF). A feasibility study done by the ministry found out the following: 145 have capacity to manufacture JJ and PF 112 have capacity to manufacture JJ and AZ 156 have capacity to manufacture AZ and PF 321 have capacity to manufacture AZ 35 have no capacity to manufacture any of the three vaccines 79 have capacity to manufacture JJ and AZ but not PF The number that has capacity to manufacture JJ only is equal to those that have capacity to manufacture PF only. The number that has capacity to manufacture PF only is twice those that have capacity to manufacture AZ only Required (i) Present this information on a Venn diagram and hence determine the number of facilities that: (ii) have capacity to manufacture all three vaccines (iii) have capacity to manufacture Pfizer vaccine (iv) have capacity to manufacture at most one vaccine (v) were considered

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b) Kenya is in the advanced stages of preparing to manufacture COVID-19 vaccines locally. The Ministry of Health has identified a number of facilities all over the country for consideration for the manufacture of one or more of three vaccines; Johnson and Johnson (JJ), AstraZeneca (AZ) and Pfizer (PF). A feasibility study done by the ministry found out the following:

 

 

 

145 have capacity to manufacture JJ and PF

 

112 have capacity to manufacture JJ and AZ

 

156 have capacity to manufacture AZ and PF

 

321 have capacity to manufacture AZ

 

35 have no capacity to manufacture any of the three vaccines

 

79 have capacity to manufacture JJ and AZ but not PF

 

The number that has capacity to manufacture JJ only is equal to those that have capacity to manufacture PF only.

 

The number that has capacity to manufacture PF only is twice those that have capacity to manufacture AZ only

 

 

 

 Required

 

(i) Present this information on a Venn diagram and hence determine the number of facilities that:   

 

(ii) have capacity to manufacture all three vaccines     

 

(iii) have capacity to manufacture Pfizer vaccine

 

(iv) have capacity to manufacture at most one vaccine 

 

(v) were considered 

 

 

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