Jayanta is raising money for the? homeless, and discovers each church group requires 2 hr of letter writing and 1 hr of? follow-up calls, while each labor union needs 2 hr of letter writing and 3 hr of ? follow-up. she can raise ? $150 from each church group and ? $175 from each union. she has a maximum of 20 hours of letter writing and 14 hours of ? follow-up available each month. determine the most profitable mixture of groups she should contact and the most money she can raise in a month.

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:

And total money raised can be shown by =

We have to maximize keeping in mind that and

We will solve the two equations:   and

We get l = 2 and c = 8

And total money raised is = dollars.

Hence, Jayanta needs 2 labor union groups and 8 church groups.

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step-by-step explanation:

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step-by-step explanation: