document.write( "Question 1142275: 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 $100 from each church group and $200 from each union. She has a maximum of 20 hours of letter writing and 12 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. \n" ); document.write( "

Algebra.Com's Answer #762978 by greenestamps(13216) $\"\"$ $\"About$

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\n" ); document.write( "Let x be the number of church groups and y be the number of labor unions. Then

\n" ); document.write( "(1) write the constraint inequalities
\n" ); document.write( " $\"x%3E=0\"$ , $\"y%3E=0\"$
\n" ); document.write( " $\"2x%2B2y%3C=20\"$ she has a maximum of 20 hours of letter writing time
\n" ); document.write( " $\"x%2B3y%3C=12\"$ she has a maximum of 12 hours of time for follow-up calls

\n" ); document.write( "(2) graph the constraint inequalities to find the feasibility region. You should get (0,0), (0,4), (9,1) and (10,0) as the corners of the feasibility region.

\n" ); document.write( "(3) determine the amount of money she raises at each corner of the feasibility region.

\n" ); document.write( "(4) answer the question. \n" ); document.write( "

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