Answer:
Jayanta needs 2 labor union groups and 8 church groups.
Step-by-step explanation:
Let c denotes churches .
Let l denotes labor unions.
We know that Jayanta can only spend 20 hours letter writing and 14 hour of follow-up.
So, equations becomes:
[tex]2c+2l=20[/tex]
[tex]c+3l=14[/tex]
And total money raised can be shown by = [tex]150c+175l[/tex]
We have to maximize [tex]150c+175l[/tex] keeping in mind that [tex]2c+2l \leq 20[/tex] and [tex]c+3l \leq 14[/tex]
We will solve the two equations: [tex]2c+2l=20[/tex] and [tex]c+3l=14[/tex]
We get l = 2 and c = 8
And total money raised is [tex]150\times8 + 175\times2[/tex] = [tex]1200+350=1550[/tex] dollars.
Hence, Jayanta needs 2 labor union groups and 8 church groups.