Answer:
-740
Step-by-step explanation:
18-72 equals -74
now -74 *10 equals-740
The sale the company must make and sell to break even is;
B=600
<h3>How many helmets must the company make and sell to break even?</h3>
Generally, the equation for the break even is mathematically given as
In conclusion
B=y vertex/price of each
Therefore
B=15600/26
B=600
In conclusion, the company's break even is
B=600
CQ
A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15,900). How many helmets must the company make and sell to break even?
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Primary equation: A(x)= (5y)(3X)
Secondary equation: 5y+3X=1000
y=200-(3X)/5
A(x)=3X(1000-3X)
A(x)=3000X-9X²
Now, find the derivative of A(x) to find the max... here's the work for that, or you could guess and check.
A'(x)=3000-18X
Set derivative equal to 0
0=3000-18X
166.6666666=X
Now test the intervals
(0,166.6666) (166.66666, 1000)
1st derivative is + 1st derivative is -
Plug the X value back into the secondary equation
5y+3(166.666666)=1000
5Y=500
Y=5
Answer:
X= 166.6666666666
Y=5
Please note, this is entry level calculus, and your teacher may expect you to use a different, longer route such as guess and check.
In 60 minutes, the machine can sew 300 buttons. The machine sews 5 buttons a minute. 60 x 5 = 300
