Use the two steps for solving a linear programming problem to solve the problem.Bruce is bringing items to sell at a flea market, where he plans to sell televisions at
each and DVD players at
each. Due to space limitations he can only store at most 150 items for the day. However, because more people already own televisions, Bruce knows that the number of DVD sales must at least match the number of television sales. How many of each item should Bruce bring to the flea market to maximize his sales?
A. 25 televisions and 125 DVD
B. 100 televisions and 50 DVD
C. 75 televisions and 75 DVD players
D. 50 televisions and 100 DVD players
Answer: C
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Determine if the point satisfies the inequality.x + y ? -2; (4, -6)
A. Yes B. No
A building in the shape of a rectangular box is to have a volume of (see the figure). It is estimated that the annual heating and cooling costs will be $2/square foot for the top, $4/square foot for the front and back, and $2/square foot for the sides. Find the dimensions of the building that will result in a minimal annual heating and cooling cost. What is the minimal annual heating and cooling cost(C)?
?
?
A.
B. ?
C. ?
D. ?
Solve the problem. Round to the nearest tenth unless indicated otherwise.The volume of wood in a tree varies jointly as the height of the tree and the square of the distance around the tree trunk. If the volume of wood is when the height is
and the distance around the trunk is
what is the volume of wood obtained from a tree that is
tall
having a measurement of around the trunk?
A. 69.0 ft3
B. 64.0 ft3
C. 52.0 ft3
D. 60.0 ft3
Solve the problem.Two pulleys of diameters 6 m and 3 m are connected by a belt. The larger pulley rotates 31 times per min. Find the angular speed of the smaller pulley.
A. 124? radians per min B. 186? radians per min C. 62? radians per min D. 93? radians per min