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tino4ka555 [31]
3 years ago
14

A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire

English
1 answer:
Troyanec [42]3 years ago
5 0

Answer:

The last graph in the option represents the overall equation of this scenario (it is option D if the last graph shown is the fourth option).

Explanation:

A manufacturing machine has two processes.

First let's represent the time of the two processes with variables:

The time of 1st process = a

The time of 2nd process = b

Since 1st process is repeated 4 times = 4×a = 4a

Also 2nd process is repeated only once = 1×b = b

Then we would represent the equation of the entire process

The entire cycle is said not to take longer than 3 minutes, meaning it less than or equal to 3 = ≤3

The equation of the entire process gives an inequality:

4a+b ≤ 3

Next, we would derive values for a to get b and vice versa in order to plot the graph using the equation: 4a+b = 3

For a = 0

4(0) +b= 3

b = 3

(a,b) = (0,3)

For b = 0

4a + 0 = 3

a= 3/4 = 0.75

(a,b) = (0.75, 0)

Let (a,b) represent (x,y) on the graph

Plotting the graph with coordinates (a,b) = (x,y) : (0,3), (0.75, 0); we get a line going downward passing, through 3 on y axis and 0.75 on x axis. The shaded portion represent the inequality: 4a+b ≤ 3

The last graph in the option represents the overall equation of this scenario (it is option D if the last graph shown is the fourth option).

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