Three manufacturers of plastic products a, b and c received an order to make 1950 plastic filters in the ratio 7: 8: 11.

a) find the number of plastic filters a and c are supposed to make respectively.

b) if each manufacturer is paid 85 cents per filter made, calculate the amount of money b will receive.

c) if d, another manufacturer of plastic products is called to speed up the process by making 338 of the plastic filters required above, find the number of filters finally made by a, b and c respectively.

(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

1,589.63 in.^3

step-by-step explanation:

i hope this you : d