question archive 3) Company produces very unusual CD's for which the variable cost is $ 9 per CD and the fixed costs are $ 30000
3) Company produces very unusual CD's for which the variable cost is $ 9 per CD and the fixed costs are $ 30000
Subject:MathPrice:9.82 Bought3
3) Company produces very unusual CD's for which the variable cost is $ 9 per CD and the fixed costs are $ 30000. They will sell the CD's for $ 70 each. Let x be the number of CD's produced.
Write the total cost C as a function of the number of CD's produced.
C=$_______________.
Write the total revenue R as a function of the number of CD's produced.
R=$ _____________________.
Write the total profit P as a function of the number of CD's produced.
P=$____________________.
Find the number of CD's which must be produced to break even.
The number of CD's which must be produced to break even is ______________.
4) A baseball team plays in a stadium that holds 62000 spectators. With the ticket price at $11 the average attendance has been 27000. When the price dropped to $10, the average attendance rose to 31000.
Find the demand function p(x), where xx is the number of the spectators. (Assume p(x) is linear.)
p(x)=________________.
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C(x)=30000+9x
Revenue Function:
R(x)=70x
Profit= Revenue-Cost
P(x)=61x-30000
Break even if Cost=Revenue
x=491.80 round off to 492 CDs to break even
4. D(x)=27000+4000x
Step-by-step explanation
3. Cost Function:
C(x)=Fixed Cost + Variable cost
C(x)=30000+9x
Revenue Function:
R(x)=70x
Profit= Revenue-Cost
P(x)=70x-(30000+9x)
P(x)=70x-30000-9x
P(x=61x-30000
Break even if Cost=Revenue
C(x)=R(x)
30000+9x=70x
30000=61x
x=491.80 round off to 492 CDs to break even
4. Find the slope or rate of change:
Two points are: (11,27000),(10,31000)
Use q=a-bx
31000=a-b(10)
27000=a-b(11)
Subtract
4000=b
a=71000
Price is 11-x
D(x)=71000-4000(11-x)
D(x)=27000+4000x
