Maicol wants to plant coffee beans and plantains. Coffee beans yield 2,500 pounds per acre, the pound of coffee beans goes for $2.43. While plantains yields 1,200 plants per acre, a plantain tree can grow 100 pounds, and the pound goes for $1.99. He has a total of 50 acres to plant coffee beans and plantain trees. Maicol wants to use at least 15 acres for coffee beans and no more than 25, and a minimum of 20 acres for plantain. How many acres of coffee beans and plantain must be planted to maximize Maicol’s profit?

28

step-by-step explanation:

8+8+6+6

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.