A citizen decides to campaign for the election of a candidate for city council. Her goal is to generate at least 196 votes by a combination of door-to-door canvassing. letter writing, and phone calls. She figures that each hour of door-to-door canvassing will generate four votes, each hour of letter writing will generate two votes, and each hour on the phone will generate three votes. She would like to devote at least sbc hours to phone calls and spend at most half her time at door-to-door canvassing. How much time should she allocate to each task in order to achieve her goal in the least amount of time? First identify the objective function to be minimized. Let x, y, and z be the number of hours spent door-to-door carvassing, letter writing, and making phone calls, respectively.

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A citizen decides to campaign for the election of a candidate for city council. Her goal is to generate at least 196 votes by a combination of door-to-door
canvassing, letter writing, and phone calls. She figures that each hour of door-to-door canvassing will generate four votes, each hour of letter writing will
generate two votes, and each hour on the phone will generate three votes. She would like to devote at least sbx hours to phone calls and spend at most
half her time at door-to-door canvassing. How much time should she allocate to each task in order to achieve her goal in the least amount of time?
First identify the objective function to be minimized. Let x, y, and z be the number of hours spent door-to-door canvassing, letter writing, and making phone
calls, respectively.
Transcribed Image Text:A citizen decides to campaign for the election of a candidate for city council. Her goal is to generate at least 196 votes by a combination of door-to-door canvassing, letter writing, and phone calls. She figures that each hour of door-to-door canvassing will generate four votes, each hour of letter writing will generate two votes, and each hour on the phone will generate three votes. She would like to devote at least sbx hours to phone calls and spend at most half her time at door-to-door canvassing. How much time should she allocate to each task in order to achieve her goal in the least amount of time? First identify the objective function to be minimized. Let x, y, and z be the number of hours spent door-to-door canvassing, letter writing, and making phone calls, respectively.
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