Aiddan D.
asked • 10/10/16need to write 2 equations using the following information. the initial costs of setting up the business are $47 for a hen house and $3 for each hen. the hens
the initial costs of setting up the business are $47 for a hen house and $3 for each hen. the hens will cost a total of 50 cents a day to feed and you think each hen will lay one egg per day. you plan to sell the eggs for 20 cents each.
need to create 2 equations and set them equal to each other to determine algebraically when business will break even. how many days will it be before you break even? on one set of axes, draw graphs to show how the costs and amount earned will change over the first 50 days. create an input/output table to show the two equations changing over time.
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1 Expert Answer
Jesse K. answered • 10/10/16
Tutor
New to Wyzant
Total number of hens = x
total number of days =d
Total cost = 47 + 3x +0.50d
Total earning = 0.20 x * d
For break even, we have to set these 2 equation equal
47+3x+0.50d = 0.20 x * d
Aiddan D.
I really appreciate your help, I've been trying to figure this out all weekend and I'm having a hard time setting it up...im probably making it harder then I should...can you still help me figure it out step by step?
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10/11/16
Jesse K.
Ok
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10/11/16
Jesse K.
Our equations are
Total cost = 47 + 3x +0.50d
Total earning = 0.20 x * d
so now number of hen =x= 12
So
Total cost =47 + 3x +0.50d
= 47 +3(12) +0.50d
=47+36 +0.50d
=83+0.50d
Total earning = 0.20 x * d
=0.20(12)*d
=2.4 *d
=2.4 d
Now equate to equation
83 +0.50d =2.4 d
83 =1.9 d (subtract 0.50d from both sides)
d=43.6842 (divide by 1.9 to both sides)
d = 43.7 (rounding off)
so break even point occur after 43.7 days
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10/11/16
Aiddan D.
great, thank you so much!... I solved for d = days = 43.6 so I rounded and said on the 44th day profits will be equal to the expenses...now I have to make 2 input/output tables showing profit in one and expense in the other... for input I indicated "days" and output "$"... I need to make sure I include in both tables the point where expenses equal profits...I need to include points above and below the "breaking even" point...so for my table under input would I start out with 33, 44, 55, 66 days? and how do I figure out what to start with the output "$"?
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10/11/16
Aiddan D.
oh ok so I should leave at 43.7 days and not 44
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10/11/16
Jesse K.
1) for first table you have to use first equation to find the value of output
total cost =83+0.50d
2)for earning graph you have to use
Total earning = 0.20 x * d
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10/11/16
Jesse K.
for second graph you have to use
total earning = 2.4 d
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10/11/16
Jesse K.
just substitute value of days(33,44,55,66) in both equation and you will get respective output
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10/11/16
Aiddan D.
ok, so I came out with 1) first table value of output total cost = 104.85 and 2) second table value of total earning = 104.88
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10/11/16
Jesse K.
On one set of axes , draw graphs to show how costs and amout earned will change over the first 50 days
You should draw the lines of equation for
a)Total cost =y
Y=83+0.5x
b)total earning =y
y=2.4 x
two lines intersect at break even point
You should draw the lines of equation for
a)Total cost =y
Y=83+0.5x
b)total earning =y
y=2.4 x
two lines intersect at break even point
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10/11/16
Jesse K.
on x axis : no. of days
on y axis:amount earned/cost
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10/11/16
Aiddan D.
ok got it! yay...so my next step is to graph both table according to the input/output, I think I have this part, I would label the x -axis "days" and y-axis "profit/expenses and chart from there?
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10/11/16
Jesse K.
exactly
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10/11/16
Aiddan D.
awesome! I did my graph now I'll write my summary...I really appreciate your help thank you for helping me .
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10/11/16
Aiddan D.
I would like to get your help when needed...how do I go about doing so? I will let my mom know
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10/11/16
Jesse K.
Just send messages to me on site....by clicking message to Jesse link
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10/11/16
Aiddan D.
ok I will. thank you again! have a good night
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10/11/16
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Aiddan D.
10/11/16