Exam 4: Inequalities

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Solve the inequality. Graph the result. Solve the inequality. Graph the result.   or  or Solve the inequality. Graph the result.   or

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Graph the inequality. Graph the inequality.

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Maximize P subject to the constraints. Maximize P subject to the constraints.    Maximize P subject to the constraints.

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Solve the inequality and graph the solution set. Solve the inequality and graph the solution set.

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Two woodworkers, Tom and Carlos, bring in $100 for making a table and $80 for making a chair. On average, Tom must work 3 hours and Carlos 2 hours to make a chair. Tom must work 2 hours and Carlos 6 hours to make a table. If neither wishes to work more than 42 hours per week, find the maximum income. Two woodworkers, Tom and Carlos, bring in $100 for making a table and $80 for making a chair. On average, Tom must work 3 hours and Carlos 2 hours to make a chair. Tom must work 2 hours and Carlos 6 hours to make a table. If neither wishes to work more than 42 hours per week, find the maximum income.

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A small country exports soybeans and flowers. Soybeans require 8 workers per acre, flowers require 12 workers per acre, and 100,000 workers are available. Government contracts require that there be at least 3 times as many acres of soybeans as flowers planted. It costs $250 per acre to plant soybeans and $300 per acre to plant flowers, and there is a budget of $3 million. If the profit from soybeans is $1,600 per acre and the profit from flowers is $2,400 per acre, find the maximum profit. Round the answer to the nearest tenth of million.

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A sporting goods manufacturer allocates at least 1,200 units of time per day to make fishing rods and reels. If it takes 15 units of time to make a rod and 30 units of time to make a reel, graph an inequality that shows the possible ways to schedule the time to make rods ( x ) and reels ( y ). Graph the inequality for nonnegative values of x and y .

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Solve the inequality. Graph the result. Solve the inequality. Graph the result.

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