Question 899307: Bob the builder has 30 square feet of sheet metal and 12 square feet of wood on hand. He uses both the metal and wood when he makes the doghouses and bird houses. A dog house requires 6 sq. ft of metal while a bird house requires only 3 sq. feet of metal. A dog house requires 3 sq. ft. of wood while a bird house will use 1 sq. ft. of wood. Let x = number of dog houses he can make. Let y = the number of bird houses he can makes. Write inequalities that describe the possible combinations of dog houses and bird houses hat Bob can make with the material on hand. THEN graph the inequalities, find the feasible region and determine the corner points vertices ____.
Would possible answers be: 6x+y greater than 30; x+12y greater than 30 for sheet metal? 10x+y greater than 30 and x+30Y greater than 30 for wood?
Would vertices be (2x,y)? and then you just graph x points twice that of y on a graph?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Bob the builder has 30 square feet of sheet metal and 12 square feet of wood on hand. He uses both the metal and wood when he makes the doghouses and bird houses.
A dog house requires 6 sq. ft of metal while a bird house requires only 3 sq. feet of metal.
A dog house requires 3 sq. ft. of wood while a bird house will use 1 sq. ft. of wood.
Let x = number of dog houses he can make. Let y = the number of bird houses he can makes.
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Write inequalities that describe the possible combinations of dog houses and bird houses hat Bob can make with the material on hand.
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Sheet Metal Inequality:: 6x + 3y <= 30 sq ft
Wood Inequality:: 3x + y <= 12 sq ft
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THEN graph the inequalities, find the feasible region and determine the corner points vertices ____.
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Cheers,
Stan H.
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