Mathematics, 26.10.2019 16:43 lizzieee04

Acompany produces 3 types of widgets. on a given day, the company was able to produce 9 total widgets (combining all 3 types). widget a costs $3 to produce, widget b costs #2 to produce, and widget c costs $1 to produce. the cost to produce the widgets each day is $18. the company produces one more widget b than the sum of the widgets a & c. how many of each type of widget is produced?

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Answer from: cgattis6935

Number of widgets A and C are 2 each, widgets B are 5.

Step-by-step explanation:

Let be the number of widgets A, be the number of widgets B and be the number of widgets C.

As per the question,

On a given day, total 9 widgets are produced. So,

x+y+z=9

Cost for 1 widget A is $3. So, cost of widgets A is 3x.

Cost for 1 widget B is $2. So, cost of widgets A is 2y.

Cost for 1 widget C is $1. So, cost of widgets A is z.

Now, total cost of the widgets is $18. So,

3x+2y+z=18

Also, widget B is one more than the sum of widgets A and C. So,

y=x+z+1

Now, we have 3 equations and 3 unknowns.

x+y+z=9

3x+2y+z=18

y=x+z+1 ⇒ x+z=y-1

Now, using the first and third equation, we get

$y+y-1=9\\2y=10\\y=5$

Plug in 5 for in the first 2 equations. This gives,

x+5+z=9 ⇒ x+z=4

3x+2(5)+z=18 ⇒ 3x+z=8

Subtracting the above 2 equations, we get,

$x-3x+z-z=4-8\\-2x=-4\\x=2$

Using the value of x in the above equation, we find z.

$x+z=4\\2+z=4\\z=2$

Therefore, x=2,y=5,z=2

Hence, number of widgets A and C are 2 each, widgets B are 5.

Answer from: Quest

step-by-step explanation:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since 2010 0 1 2 3 4 5

profits made in 1000's 39 84 111 120 111 84

we find that profit gradually increases form 2010 to 2013 upto 120, then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

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Acompany produces 3 types of widgets. on a given day, the company was able to produce 9 total widget...